%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUM925+4 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 10:49:06 EDT 2023

% Result   : Theorem 18.04s 18.37s
% Output   : Proof 18.04s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 1.22/1.28  % Problem    : NUM925+4 : TPTP v8.1.2. Released v5.3.0.
% 1.22/1.29  % Command    : do_cvc5 %s %d
% 1.29/1.49  % Computer : n019.cluster.edu
% 1.29/1.49  % Model    : x86_64 x86_64
% 1.29/1.49  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 1.29/1.49  % Memory   : 8042.1875MB
% 1.29/1.49  % OS       : Linux 3.10.0-693.el7.x86_64
% 1.29/1.49  % CPULimit   : 300
% 1.29/1.49  % WCLimit    : 300
% 1.29/1.49  % DateTime   : Fri Aug 25 16:07:45 EDT 2023
% 1.29/1.49  % CPUTime    : 
% 2.57/2.77  %----Proving TF0_NAR, FOF, or CNF
% 18.04/18.37  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.l5w8Th1sWz/cvc5---1.0.5_9454.p...
% 18.04/18.37  ------- get file name : TPTP file name is NUM925+4
% 18.04/18.37  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_9454.smt2...
% 18.04/18.37  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 18.04/18.37  --- Run --no-e-matching --full-saturate-quant at 5...
% 18.04/18.37  % SZS status Theorem for NUM925+4
% 18.04/18.37  % SZS output start Proof for NUM925+4
% 18.04/18.37  (
% 18.04/18.37  (let ((_let_1 (tptp.hAPP_int_int tptp.bit1 tptp.pls))) (let ((_let_2 (tptp.hAPP_int_int tptp.bit0 _let_1))) (let ((_let_3 (tptp.hAPP_int_nat tptp.number_number_of_nat _let_2))) (let ((_let_4 (tptp.hAPP_nat_int tptp.semiri1621563631at_int tptp.n))) (let ((_let_5 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int))) (let ((_let_6 (tptp.hAPP_int_int _let_5 _let_4))) (let ((_let_7 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int _let_6) _let_3))) (let ((_let_8 (not (not (= _let_7 tptp.zero_zero_int))))) (let ((_let_9 (tptp.hAPP_int_int tptp.number_number_of_int _let_2))) (let ((_let_10 (tptp.hAPP_int_int tptp.bit1 _let_1))) (let ((_let_11 (tptp.hAPP_int_int tptp.number_number_of_int _let_10))) (let ((_let_12 (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.fequal_nat))) (let ((_let_13 (= tptp.pred_nat (tptp.collec1979865426at_nat (tptp.produc1922581855t_bool (tptp.hAPP_f618557131t_bool (tptp.hAPP_f1505651103t_bool tptp.cOMBB_800536526ol_nat _let_12) tptp.suc)))))) (let ((_let_14 (tptp.hAPP_int_real tptp.number267125858f_real _let_2))) (let ((_let_15 (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi))) (let ((_let_16 (tptp.hAPP_real_real _let_15 _let_14))) (let ((_let_17 (tptp.hAPP_f1352333353l_real (tptp.hAPP_f318350629l_real tptp.cOMBB_1946221070al_int tptp.inverse_divide_real) tptp.real_int))) (let ((_let_18 (tptp.hAPP_f1925507189l_bool tptp.cOMBB_1121934354l_real tptp.fEx_int))) (let ((_let_19 (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat))) (let ((_let_20 (tptp.hAPP_int_fun_int_int tptp.times_times_int _let_9))) (let ((_let_21 (tptp.hAPP_f735247205t_bool tptp.cOMBC_983868720t_bool (tptp.hAPP_f1251097615t_bool (tptp.hAPP_f1475822739t_bool tptp.cOMBB_2027861294ol_int tptp.cOMBB_int_bool_int) tptp.fequal_int)))) (let ((_let_22 (tptp.hAPP_f423804115t_bool tptp.cOMBB_1418110531ol_int tptp.fEx_int))) (let ((_let_23 (= tptp.zEven (tptp.collect_int (tptp.hAPP_f2119767738t_bool _let_22 (tptp.hAPP_f1791153283t_bool _let_21 _let_20)))))) (let ((_let_24 (tptp.hAPP_f1734373249l_bool tptp.cOMBB_1652995168ol_int tptp.fconj))) (let ((_let_25 (= tptp.field_1210416355s_real (tptp.collect_real (tptp.hAPP_f101635158l_bool _let_18 (tptp.hAPP_f1625314454t_bool (tptp.hAPP_f340152631t_bool tptp.cOMBB_1453147152l_real _let_22) (tptp.hAPP_f1832844496t_bool (tptp.hAPP_f1990636069t_bool tptp.cOMBC_412863505t_bool (tptp.hAPP_f704188951t_bool (tptp.hAPP_f1456711209t_bool tptp.cOMBB_690122963l_real tptp.cOMBC_1683390479t_bool) (tptp.hAPP_f1063001928t_bool (tptp.hAPP_f2050994651t_bool tptp.cOMBB_2138578194l_real (tptp.hAPP_f85237525t_bool tptp.cOMBB_389152643ol_int tptp.cOMBS_int_bool_bool)) (tptp.hAPP_f381769257l_bool (tptp.hAPP_f512004221l_bool tptp.cOMBB_188663909l_real (tptp.hAPP_f1830214065l_bool tptp.cOMBB_793166024ol_int _let_24)) (tptp.hAPP_f956464319t_bool (tptp.hAPP_f422375781t_bool tptp.cOMBC_243356514t_bool (tptp.hAPP_f332806115t_bool (tptp.hAPP_f1177545951t_bool tptp.cOMBB_1459832681l_real tptp.cOMBB_95956018ol_int) (tptp.hAPP_f1920544743t_bool (tptp.hAPP_f866672739t_bool tptp.cOMBB_1247074793l_real tptp.cOMBB_real_bool_int) tptp.fequal_real))) (tptp.hAPP_f1323932638t_real (tptp.hAPP_f352226557t_real tptp.cOMBC_824100275t_real (tptp.hAPP_f74147283t_real (tptp.hAPP_f1169087445t_real tptp.cOMBB_2129825580al_int tptp.cOMBB_real_real_int) _let_17)) tptp.real_int)))))) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f627970963t_bool tptp.cOMBB_bool_bool_int tptp.fNot) (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f428220345t_bool tptp.cOMBC_int_int_bool tptp.fequal_int) tptp.zero_zero_int))))))))) (let ((_let_26 (tptp.hAPP_f1629352853nt_int tptp.cOMBB_1496585939nt_int tptp.plus_plus_int))) (let ((_let_27 (= tptp.zOdd (tptp.collect_int (tptp.hAPP_f2119767738t_bool _let_22 (tptp.hAPP_f1791153283t_bool _let_21 (tptp.hAPP_int_fun_int_int (tptp.hAPP_f2135977429nt_int tptp.cOMBC_int_int_int (tptp.hAPP_f1760145644nt_int _let_26 _let_20)) tptp.one_one_int))))))) (let ((_let_28 (tptp.hAPP_f1485493409l_bool tptp.cOMBB_624415285l_real tptp.fconj))) (let ((_let_29 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (let ((_let_30 (tptp.the_real (tptp.hAPP_f1861673493l_bool (tptp.hAPP_f1010710745l_bool tptp.cOMBS_real_bool_bool (tptp.hAPP_f60716669l_bool _let_28 _let_29)) (tptp.hAPP_f1861673493l_bool (tptp.hAPP_f1010710745l_bool tptp.cOMBS_real_bool_bool (tptp.hAPP_f60716669l_bool _let_28 (tptp.hAPP_r1134773055l_bool (tptp.hAPP_f695504873l_bool tptp.cOMBC_real_real_bool tptp.ord_less_eq_real) _let_14))) (tptp.hAPP_r1134773055l_bool (tptp.hAPP_f695504873l_bool tptp.cOMBC_real_real_bool (tptp.hAPP_f1393328161l_bool (tptp.hAPP_f1900646853l_bool tptp.cOMBB_430461877l_real tptp.fequal_real) tptp.cos)) tptp.zero_zero_real)))))) (let ((_let_31 (tptp.hAPP_r1250527377l_real tptp.times_times_real _let_14))) (let ((_let_32 (= tptp.pi (tptp.hAPP_real_real _let_31 _let_30)))) (let ((_let_33 (= (tptp.diffs_real tptp.sin_coeff) tptp.cos_coeff))) (let ((_let_34 (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.one_one_real))) (let ((_let_35 (tptp.hAPP_real_real _let_34 _let_14))) (let ((_let_36 (= tptp.negateSnd (tptp.produc713050258nt_int tptp.uminus_uminus_int)))) (let ((_let_37 (tptp.hAPP_f1855025978nt_int (tptp.hAPP_f1038672605nt_int tptp.cOMBB_1506897658nt_int tptp.times_times_int) tptp.product_fst_int_int))) (let ((_let_38 (tptp.hAPP_f214467655t_bool tptp.cOMBB_182850971nt_int tptp.fequal_int))) (let ((_let_39 (tptp.hAPP_f365317245l_bool (tptp.hAPP_f1961001761l_bool tptp.cOMBB_1550063917nt_int tptp.fconj) (tptp.hAPP_f237669397t_bool (tptp.hAPP_f513299955t_bool tptp.cOMBB_1344650379nt_int tptp.fNot) (tptp.hAPP_i119638232t_bool (tptp.hAPP_f2018027565t_bool tptp.cOMBC_33652895t_bool (tptp.hAPP_f291087797t_bool _let_38 tptp.product_snd_int_int)) tptp.zero_zero_int))))) (let ((_let_40 (= tptp.ratrel (tptp.collec50511176nt_int (tptp.produc973645403t_bool (tptp.hAPP_f1781059817t_bool (tptp.hAPP_f125837377t_bool tptp.cOMBS_1610675060t_bool (tptp.hAPP_f1965248563t_bool (tptp.hAPP_f1273270095t_bool tptp.cOMBB_595786433nt_int tptp.cOMBB_1344650379nt_int) _let_39)) (tptp.hAPP_f1781059817t_bool (tptp.hAPP_f326728547t_bool tptp.cOMBB_2086486755nt_int (tptp.hAPP_f461489489t_bool tptp.cOMBS_400904860l_bool _let_39)) (tptp.hAPP_f1187443546t_bool (tptp.hAPP_f11709033t_bool tptp.cOMBS_1676841879t_bool (tptp.hAPP_f223623489t_bool (tptp.hAPP_f1815301987t_bool tptp.cOMBB_650041899nt_int tptp.cOMBS_480885903t_bool) (tptp.hAPP_f1198736473t_bool (tptp.hAPP_f2042071795t_bool tptp.cOMBB_773384995nt_int _let_38) (tptp.hAPP_f167782601nt_int (tptp.hAPP_f1769710159nt_int tptp.cOMBC_2037038898nt_int (tptp.hAPP_f301246617nt_int (tptp.hAPP_f1151807883nt_int tptp.cOMBB_563965291nt_int tptp.cOMBB_47643171nt_int) _let_37)) tptp.product_snd_int_int)))) (tptp.hAPP_f167782601nt_int (tptp.hAPP_f400538607nt_int tptp.cOMBB_866192175nt_int (tptp.hAPP_f578362681nt_int tptp.cOMBC_1417754532nt_int _let_37)) tptp.product_snd_int_int))))))))) (let ((_let_41 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int))) (let ((_let_42 (= tptp.frac (tptp.produc93441119t_bool (tptp.hAPP_f428220345t_bool (tptp.hAPP_f654702867t_bool tptp.cOMBB_591320580ol_int (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool (tptp.hAPP_f2144054103l_bool _let_24 _let_41))) (tptp.hAPP_i345030060t_bool (tptp.hAPP_f791698359t_bool tptp.cOMBC_241247961t_bool (tptp.hAPP_f791698359t_bool (tptp.hAPP_f847817363t_bool tptp.cOMBB_562416518ol_int tptp.cOMBC_int_int_bool) (tptp.hAPP_f725770969t_bool (tptp.hAPP_f983569339t_bool tptp.cOMBB_550562460ol_int (tptp.hAPP_f1399575567t_bool tptp.cOMBB_118231410ol_int tptp.fequal_int)) tptp.int_gcd))) tptp.one_one_int)))))) (let ((_let_43 (tptp.hAPP_nat_fun_int_int (tptp.hAPP_f2105620693nt_int tptp.cOMBC_int_nat_int tptp.power_power_int) _let_3))) (let ((_let_44 (= tptp.twoSqu1907779896sum2sq (tptp.produc1298267108nt_int (tptp.hAPP_f1760145644nt_int (tptp.hAPP_f808647893nt_int tptp.cOMBC_736024425nt_int (tptp.hAPP_f836602773nt_int (tptp.hAPP_f888249301nt_int tptp.cOMBB_1875755114nt_int tptp.cOMBB_int_int_int) (tptp.hAPP_f1760145644nt_int _let_26 _let_43))) _let_43))))) (let ((_let_45 (tptp.hAPP_int_real tptp.number267125858f_real tptp.min))) (let ((_let_46 (tptp.hAPP_int_int tptp.bit0 _let_2))) (let ((_let_47 (tptp.hAPP_int_real tptp.number267125858f_real _let_46))) (let ((_let_48 (tptp.hAPP_real_real _let_15 _let_47))) (let ((_let_49 (tptp.ratreal tptp.one_one_rat))) (let ((_let_50 (tptp.ratreal tptp.zero_zero_rat))) (let ((_let_51 (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract tptp.one_one_int) tptp.one_one_int))) (let ((_let_52 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int tptp.one_one_int) tptp.one_one_int))) (let ((_let_53 (= tptp.real_int tptp.ring_1_of_int_real))) (let ((_let_54 (= tptp.number1226105091de_int tptp.quickcheck_of_int))) (let ((_let_55 (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) (let ((_let_56 (tptp.hAPP_complex_complex tptp.uminus473333897omplex tptp.ii))) (let ((_let_57 (tptp.hAPP_int_complex tptp.number528085621omplex _let_2))) (let ((_let_58 (tptp.hAPP_complex_complex tptp.uminus473333897omplex tptp.one_one_complex))) (let ((_let_59 (tptp.hAPP_real_real tptp.uminus_uminus_real tptp.one_one_real))) (let ((_let_60 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex tptp.ii) tptp.ii))) (let ((_let_61 (tptp.hAPP_int_complex tptp.number528085621omplex tptp.min))) (let ((_let_62 (tptp.hAPP_r265291036omplex tptp.complex tptp.zero_zero_real))) (let ((_let_63 (= tptp.ii (tptp.hAPP_real_complex _let_62 tptp.one_one_real)))) (let ((_let_64 (= tptp.sqrt (tptp.hAPP_n546711566l_real tptp.root _let_3)))) (let ((_let_65 (tptp.hAPP_int_real tptp.number267125858f_real _let_10))) (let ((_let_66 (tptp.hAPP_real_real tptp.sqrt _let_65))) (let ((_let_67 (tptp.hAPP_real_real _let_15 (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 _let_10))))) (let ((_let_68 (tptp.hAPP_real_real _let_15 _let_65))) (let ((_let_69 (= tptp.real_nat tptp.semiri132038758t_real))) (let ((_let_70 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real _let_65) _let_14)) tptp.pi))) (let ((_let_71 (tptp.hAPP_real_real tptp.sqrt _let_14))) (let ((_let_72 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real _let_71) _let_14))) (let ((_let_73 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real _let_66) _let_14))) (let ((_let_74 (tptp.hAPP_real_real _let_31 tptp.pi))) (let ((_let_75 (tptp.hAPP_real_real tptp.cos _let_14))) (let ((_let_76 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (let ((_let_77 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.pi))) (let ((_let_78 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real))) (let ((_let_79 (tptp.hAPP_int_int tptp.number_number_of_int tptp.min))) (let ((_let_80 (tptp.hAPP_int_int tptp.number_number_of_int tptp.pls))) (let ((_let_81 (tptp.hAPP_nat_nat tptp.suc _let_55))) (let ((_let_82 (tptp.hAPP_int_nat tptp.nat _let_9))) (let ((_let_83 (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))) (let ((_let_84 (tptp.hAPP_int_nat tptp.number_number_of_nat _let_10))) (let ((_let_85 (tptp.hAPP_int_nat tptp.nat tptp.one_one_int))) (let ((_let_86 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (let ((_let_87 (tptp.hAPP_int_fun_int_int tptp.times_times_int tptp.sa))) (let ((_let_88 (tptp.hAPP_int_int _let_87 tptp.v))) (let ((_let_89 (tptp.hAPP_int_fun_int_int tptp.times_times_int tptp.r))) (let ((_let_90 (tptp.hAPP_int_int _let_89 tptp.w))) (let ((_let_91 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int _let_90) _let_88)) _let_3))) (let ((_let_92 (tptp.hAPP_int_int _let_87 tptp.w))) (let ((_let_93 (tptp.hAPP_int_int _let_89 tptp.v))) (let ((_let_94 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int _let_93) _let_92)) tptp.m1)) _let_3))) (let ((_let_95 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int _let_46)) tptp.m)) tptp.one_one_int))) (let ((_let_96 (tptp.hAPP_int_fun_int_int tptp.times_times_int _let_95))) (let ((_let_97 (tptp.hAPP_int_int _let_96 tptp.m1))) (let ((_let_98 (tptp.hAPP_int_fun_int_int tptp.times_times_int _let_7))) (let ((_let_99 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int tptp.v) _let_3)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int tptp.w) _let_3)))) (let ((_let_100 (tptp.hAPP_int_int _let_96 _let_6))) (let ((_let_101 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int _let_100) _let_99))) (let ((_let_102 (tptp.hAPP_int_fun_int_int tptp.times_times_int _let_6))) (let ((_let_103 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int _let_102 _let_90)) (tptp.hAPP_int_int _let_102 _let_88))) _let_3))) (let ((_let_104 (tptp.hAPP_int_int _let_102 tptp.m1))) (let ((_let_105 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_102 _let_93)) (tptp.hAPP_int_int _let_102 _let_92))))) (let ((_let_106 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int _let_105 _let_104)) _let_3)) _let_103))) (let ((_let_107 (tptp.hAPP_int_int _let_87 _let_6))) (let ((_let_108 (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int _let_107) tptp.w)))) (let ((_let_109 (tptp.hAPP_int_int _let_89 _let_6))) (let ((_let_110 (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int _let_109) tptp.v)))) (let ((_let_111 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_110 tptp.v)) (tptp.hAPP_int_int _let_108 tptp.w))) _let_3)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int _let_110 tptp.w)) (tptp.hAPP_int_int _let_108 tptp.v))) _let_3)))) (let ((_let_112 (tptp.hAPP_int_fun_int_int tptp.times_times_int tptp.y))) (let ((_let_113 (tptp.hAPP_int_fun_int_int tptp.times_times_int tptp.x))) (let ((_let_114 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_113 tptp.v)) (tptp.hAPP_int_int _let_112 tptp.w))) _let_3)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int _let_113 tptp.w)) (tptp.hAPP_int_int _let_112 tptp.v))) _let_3)))) (let ((_let_115 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int tptp.x) _let_3)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int tptp.y) _let_3)))) (let ((_let_116 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int _let_115) _let_99))) (let ((_let_117 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int _let_105 _let_99)) _let_3)) _let_103))) (let ((_let_118 (= tptp.w (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int tptp.y) _let_107)))) (let ((_let_119 (and _let_118 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int _let_20 (tptp.hAPP_int_int tptp.abs_abs_int tptp.w))) _let_6))))) (let ((_let_120 (= tptp.v (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int tptp.x) _let_109)))) (let ((_let_121 (and _let_120 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int _let_20 (tptp.hAPP_int_int tptp.abs_abs_int tptp.v))) _let_6))))) (let ((_let_122 (tptp.hAPP_int_nat tptp.nat tptp.zero_zero_int))) (let ((_let_123 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_int_nat tptp.nat tptp.t)) tptp.one_one_nat))) (let ((_let_124 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat))) (let ((_let_125 (tptp.hAPP_int_int _let_96 tptp.t))) (let ((_let_126 (= tptp.tn _let_123))) (let ((_let_127 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int tptp.s1) _let_3))) (let ((_let_128 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int tptp.s) _let_3))) (let ((_let_129 (tptp.zcong _let_128))) (let ((_let_130 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int _let_128) _let_79))) (let ((_let_131 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int _let_95))) (let ((_let_132 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int _let_128) tptp.one_one_int))) (let ((_let_133 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.quadRes _let_95) _let_79)))) (let ((_let_134 (= (tptp.hAPP_int_int (tptp.legendre _let_79) _let_95) tptp.one_one_int))) (let ((_let_135 (tptp.hAPP_int_int tptp.succ tptp.min))) (let ((_let_136 (= _let_135 tptp.pls))) (let ((_let_137 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.min))) (let ((_let_138 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls))) (let ((_let_139 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.min))) (let ((_let_140 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.pls))) (let ((_let_141 (tptp.hBOOL (tptp.hAPP_int_bool tptp.twoSqu1770640450sum2sq _let_100)))) (let ((_let_142 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int _let_6) _let_95)))) (let ((_let_143 (tptp.hAPP_nat_int tptp.semiri1621563631at_int tptp.zero_zero_nat))) (let ((_let_144 (tptp.hBOOL (tptp.hAPP_int_bool _let_86 tptp.one_one_int)))) (let ((_let_145 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.one_one_int))) (let ((_let_146 (= _let_143 tptp.zero_zero_int))) (let ((_let_147 (tptp.hAPP_n1108039445umeral tptp.semiri1619134803umeral tptp.zero_zero_nat))) (let ((_let_148 (= _let_147 tptp.zero_z126310315umeral))) (let ((_let_149 (tptp.hAPP_n522471361de_int tptp.semiri1424489471de_int tptp.zero_zero_nat))) (let ((_let_150 (= _let_149 tptp.zero_z891286103de_int))) (let ((_let_151 (forall ((N_46 $$unsorted) (A_195 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_195)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_195) N_46)))))))) (let ((_let_152 (tptp.hBOOL (tptp.hAPP_int_bool _let_41 tptp.one_one_int)))) (let ((_let_153 (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.zero_z126310315umeral))) (let ((_let_154 (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.zero_z891286103de_int))) (let ((_let_155 (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat))) (let ((_let_156 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int))) (let ((_let_157 (tptp.hAPP_nat_int tptp.semiri1621563631at_int tptp.one_one_nat))) (let ((_let_158 (= _let_157 tptp.one_one_int))) (let ((_let_159 (not (= tptp.zero_zero_int tptp.one_one_int)))) (let ((_let_160 (not (= tptp.zero_zero_real tptp.one_one_real)))) (let ((_let_161 (tptp.hAPP_int_int _let_5 tptp.one_one_int))) (let ((_let_162 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) tptp.one_one_nat))) (let ((_let_163 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.one_one_real) tptp.one_one_real))) (let ((_let_164 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) tptp.one_one_rat))) (let ((_let_165 (forall ((N_55 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral tptp.zero_z126310315umeral) N_55))) (let ((_let_2 (= N_55 tptp.zero_zero_nat))) (and (=> _let_2 (= _let_1 tptp.one_on1645066479umeral)) (=> (not _let_2) (= _let_1 tptp.zero_z126310315umeral)))))))) (let ((_let_166 (forall ((N_55 $$unsorted)) (let ((_let_1 (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int tptp.zero_z891286103de_int) N_55))) (let ((_let_2 (= N_55 tptp.zero_zero_nat))) (and (=> _let_2 (= _let_1 tptp.one_on1684967323de_int)) (=> (not _let_2) (= _let_1 tptp.zero_z891286103de_int)))))))) (let ((_let_167 (tptp.hAPP_int_int tptp.number_number_of_int _let_1))) (let ((_let_168 (= _let_167 tptp.one_one_int))) (let ((_let_169 (= _let_83 tptp.one_one_nat))) (let ((_let_170 (tptp.hAPP_int_real tptp.number267125858f_real _let_1))) (let ((_let_171 (= _let_170 tptp.one_one_real))) (let ((_let_172 (tptp.hAPP_int_complex tptp.number528085621omplex _let_1))) (let ((_let_173 (= _let_172 tptp.one_one_complex))) (let ((_let_174 (tptp.hAPP_int_rat tptp.number_number_of_rat _let_1))) (let ((_let_175 (= _let_174 tptp.one_one_rat))) (let ((_let_176 (= tptp.zero_zero_int _let_80))) (let ((_let_177 (tptp.hAPP_int_real tptp.number267125858f_real tptp.pls))) (let ((_let_178 (= tptp.zero_zero_real _let_177))) (let ((_let_179 (tptp.hAPP_int_complex tptp.number528085621omplex tptp.pls))) (let ((_let_180 (= tptp.zero_zero_complex _let_179))) (let ((_let_181 (tptp.hAPP_int_rat tptp.number_number_of_rat tptp.pls))) (let ((_let_182 (= tptp.zero_zero_rat _let_181))) (let ((_let_183 (= _let_80 tptp.zero_zero_int))) (let ((_let_184 (= _let_177 tptp.zero_zero_real))) (let ((_let_185 (= _let_179 tptp.zero_zero_complex))) (let ((_let_186 (= _let_181 tptp.zero_zero_rat))) (let ((_let_187 (tptp.hAPP_int_nat tptp.number_number_of_nat tptp.pls))) (let ((_let_188 (= _let_187 tptp.zero_zero_nat))) (let ((_let_189 (= tptp.pls tptp.zero_zero_int))) (let ((_let_190 (= tptp.one_one_nat _let_83))) (let ((_let_191 (= tptp.one_one_int _let_167))) (let ((_let_192 (not (tptp.hBOOL (tptp.hAPP_int_bool _let_140 tptp.pls))))) (let ((_let_193 (= _let_162 _let_3))) (let ((_let_194 (= tptp.zero_zero_nat _let_187))) (let ((_let_195 (= tptp.one_one_real _let_170))) (let ((_let_196 (= tptp.one_one_complex _let_172))) (let ((_let_197 (= tptp.one_one_rat _let_174))) (let ((_let_198 (= _let_161 _let_9))) (let ((_let_199 (= _let_163 _let_14))) (let ((_let_200 (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex tptp.one_one_complex) tptp.one_one_complex) _let_57))) (let ((_let_201 (= _let_164 (tptp.hAPP_int_rat tptp.number_number_of_rat _let_2)))) (let ((_let_202 (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral tptp.zero_z126310315umeral))) (let ((_let_203 (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int tptp.zero_z891286103de_int))) (let ((_let_204 (tptp.hBOOL (tptp.hAPP_int_bool _let_41 _let_6)))) (let ((_let_205 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int _let_135))) (let ((_let_206 (tptp.hBOOL (tptp.hAPP_int_bool _let_205 _let_135)))) (let ((_let_207 (tptp.hAPP_int_int tptp.number_number_of_int _let_135))) (let ((_let_208 (= _let_135 _let_207))) (let ((_let_209 (tptp.hAPP_int_int tptp.bit1 _let_135))) (let ((_let_210 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 _let_209)))) (let ((_let_211 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.number_number_of_int _let_209)) _let_4))) (let ((_let_212 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int _let_211) _let_210))) (let ((_let_213 (= _let_207 _let_212))) (let ((_let_214 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int _let_207))) (let ((_let_215 (tptp.hBOOL (tptp.hAPP_int_bool _let_214 _let_212)))) (let ((_let_216 (ASSUME :args (_let_197)))) (let ((_let_217 (ASSUME :args (_let_196)))) (let ((_let_218 (ASSUME :args (_let_195)))) (let ((_let_219 (ASSUME :args (_let_191)))) (let ((_let_220 (ASSUME :args (_let_176)))) (let ((_let_221 (ASSUME :args (_let_194)))) (let ((_let_222 (ASSUME :args (_let_190)))) (let ((_let_223 (ASSUME :args (_let_182)))) (let ((_let_224 (ASSUME :args (_let_180)))) (let ((_let_225 (ASSUME :args (_let_178)))) (let ((_let_226 (0))) (let ((_let_227 (EQ_RESOLVE (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_166)) (MACRO_SR_EQ_INTRO :args (_let_166 SB_DEFAULT SBA_FIXPOINT))) :args _let_226) (MACRO_SR_EQ_INTRO (AND_INTRO _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216) :args ((= tptp.one_on1684967323de_int (tptp.hAPP_n522471361de_int _let_203 tptp.zero_zero_nat)) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_228 (EQ_RESOLVE (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_165)) (MACRO_SR_EQ_INTRO :args (_let_165 SB_DEFAULT SBA_FIXPOINT))) :args _let_226) (MACRO_SR_EQ_INTRO (AND_INTRO _let_227 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216) :args ((= tptp.one_on1645066479umeral (tptp.hAPP_n1108039445umeral _let_202 tptp.zero_zero_nat)) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_229 (EQ_RESOLVE (SYMM (ASSUME :args (_let_150))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_228 _let_227 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216) :args ((= tptp.zero_z891286103de_int _let_149) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_230 (EQ_RESOLVE (SYMM (ASSUME :args (_let_148))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_229 _let_228 _let_227 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216) :args ((= tptp.zero_z126310315umeral _let_147) SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_231 (SYMM (ASSUME :args (_let_136))))) (let ((_let_232 (EQ_RESOLVE (ASSUME :args (_let_126)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_231 _let_230 _let_229 _let_228 _let_227 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216) :args (_let_126 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_233 (EQ_RESOLVE (AND_ELIM (ASSUME :args (_let_121)) :args _let_226) (MACRO_SR_EQ_INTRO (AND_INTRO _let_232 _let_231 _let_230 _let_229 _let_228 _let_227 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216) :args (_let_120 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_234 (EQ_RESOLVE (AND_ELIM (ASSUME :args (_let_119)) :args _let_226) (MACRO_SR_EQ_INTRO (AND_INTRO _let_233 _let_232 _let_231 _let_230 _let_229 _let_228 _let_227 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216) :args (_let_118 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_235 (SYMM (ASSUME :args (_let_69))))) (let ((_let_236 (EQ_RESOLVE (ASSUME :args (_let_64)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228 _let_227 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216) :args (_let_64 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_237 (EQ_RESOLVE (ASSUME :args (_let_63)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228 _let_227 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216) :args (_let_63 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_238 (ASSUME :args (_let_54)))) (let ((_let_239 (ASSUME :args (_let_53)))) (let ((_let_240 (EQ_RESOLVE (ASSUME :args (_let_44)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228 _let_227 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216) :args (_let_44 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_241 (EQ_RESOLVE (ASSUME :args (_let_42)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228 _let_227 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216) :args (_let_42 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_242 (EQ_RESOLVE (ASSUME :args (_let_40)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228 _let_227 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216) :args (_let_40 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_243 (ASSUME :args (_let_36)))) (let ((_let_244 (SYMM (ASSUME :args (_let_33))))) (let ((_let_245 (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228 _let_227 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216) :args (_let_32 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_246 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228 _let_227 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216) :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_247 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228 _let_227 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216) :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_248 (AND_INTRO (ASSUME :args (_let_13)) (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228 _let_227 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216) :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228 _let_227 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216))) (let ((_let_249 (EQ_RESOLVE (ASSUME :args (_let_192)) (MACRO_SR_EQ_INTRO _let_248 :args (_let_192 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_250 (EQ_RESOLVE (ASSUME :args (_let_189)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_189 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_248 :args ((= tptp.zero_zero_int tptp.pls) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_251 (EQ_RESOLVE (ASSUME :args (_let_8)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_248 :args ((= tptp.zero_zero_int _let_7) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_252 (tptp.hBOOL (tptp.hAPP_int_bool _let_214 _let_211)))) (let ((_let_253 (not _let_252))) (let ((_let_254 (or _let_253 _let_215))) (let ((_let_255 (forall ((N_46 $$unsorted) (A_195 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.succ tptp.min))))) (or (not (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_195))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_195) N_46)))))))) (let ((_let_256 (EQ_RESOLVE (ASSUME :args (_let_151)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_151 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_248 :args ((forall ((N_46 $$unsorted) (A_195 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int))) (or (not (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_195))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_195) N_46)))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_257 (not _let_215))) (let ((_let_258 (not _let_213))) (let ((_let_259 (not _let_208))) (let ((_let_260 (not _let_206))) (let ((_let_261 (ASSUME :args (_let_215)))) (let ((_let_262 (APPLY_UF tptp.hAPP_int_bool))) (let ((_let_263 (SYMM (SYMM _let_250)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_261 _let_250 _let_251 _let_249) :args (_let_213 _let_260 _let_208 _let_215)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_249)) (CONG (TRANS (CONG (REFL :args (_let_205)) _let_263 :args _let_262) (CONG (CONG (REFL :args (tptp.ord_less_int)) _let_263 :args (APPLY_UF tptp.hAPP_i1948725293t_bool)) (SYMM (SYMM _let_251)) :args _let_262)) :args (APPLY_UF tptp.hBOOL)) (TRUE_INTRO _let_261))) :args (_let_215 _let_208 _let_213 _let_260)) :args ((not (and _let_213 _let_260 _let_208 _let_215)) SB_LITERAL))) (CONG (REFL :args (_let_258)) (MACRO_SR_PRED_INTRO :args ((= (not _let_260) _let_206))) (REFL :args (_let_259)) (REFL :args (_let_257)) :args (or))) :args ((or _let_206 _let_259 _let_258 _let_257))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_254)) :args ((or _let_253 _let_215 (not _let_254)))) (EQ_RESOLVE (ASSUME :args (_let_204)) (MACRO_SR_EQ_INTRO _let_248 :args (_let_204 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_256 :args (_let_210 _let_211 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_255))) _let_256 :args (_let_254 false _let_255)) :args (_let_215 false _let_252 false _let_254)) _let_251 _let_250 _let_249 :args (false false _let_215 false _let_213 false _let_208 true _let_206)) :args ((forall ((B_1_1 $$unsorted)) (tptp.is_int (tptp.archim856651990g_real B_1_1))) (forall ((B_1_1 $$unsorted)) (tptp.is_int (tptp.archim791455193or_rat B_1_1))) (forall ((B_1_1 $$unsorted)) (tptp.is_int (tptp.archim1246769320r_real B_1_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_int (tptp.big_co1548731110nt_int B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted)) (tptp.is_int (tptp.code_int_of B_1_1))) (tptp.is_int tptp.one_one_int) (tptp.is_int tptp.zero_zero_int) (forall ((B_1_1 $$unsorted)) (tptp.is_int (tptp.the_int B_1_1))) (tptp.is_int (tptp.undefined_int tptp.int)) (forall ((B_1_1 $$unsorted)) (tptp.is_int (tptp.hilbert_Eps_int B_1_1))) (tptp.is_int tptp.min) (tptp.is_int tptp.pls) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted) (B_3_1 $$unsorted)) (tptp.is_bool (tptp.tendst1507391555omplex B_1_1 B_2_1 B_3_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted) (B_3_1 $$unsorted)) (tptp.is_bool (tptp.tendsto_complex_real B_1_1 B_2_1 B_3_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted) (B_3_1 $$unsorted)) (tptp.is_bool (tptp.tendsto_nat_complex B_1_1 B_2_1 B_3_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted) (B_3_1 $$unsorted)) (tptp.is_bool (tptp.tendsto_nat_real B_1_1 B_2_1 B_3_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted) (B_3_1 $$unsorted)) (tptp.is_bool (tptp.tendsto_real_real B_1_1 B_2_1 B_3_1))) (forall ((B_1_1 $$unsorted)) (tptp.is_bool (tptp.trivial_limit_nat B_1_1))) (forall ((B_1_1 $$unsorted)) (tptp.is_int (tptp.quickcheck_int_of B_1_1))) (forall ((B_1_1 $$unsorted)) (tptp.is_bool (tptp.vanishes B_1_1))) (forall ((B_1_1 $$unsorted)) (tptp.is_bool (tptp.bseq_real B_1_1))) (forall ((B_1_1 $$unsorted)) (tptp.is_bool (tptp.cauchy_complex B_1_1))) (forall ((B_1_1 $$unsorted)) (tptp.is_bool (tptp.cauchy_real B_1_1))) (forall ((B_1_1 $$unsorted)) (tptp.is_bool (tptp.monoseq_real B_1_1))) (forall ((B_1_1 $$unsorted)) (tptp.is_bool (tptp.summable_complex B_1_1))) (forall ((B_1_1 $$unsorted)) (tptp.is_bool (tptp.summable_real B_1_1))) (tptp.is_bool tptp.fFalse) (tptp.is_bool tptp.fTrue) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (and (tptp.is_bool B_1_1) (tptp.is_bool B_2_1)) (tptp.is_bool (tptp.fdisj B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_C24501650l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_complex_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_bool B_2_1) (tptp.is_bool (tptp.hAPP_bool_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_int B_2_1) (tptp.is_bool (tptp.hAPP_int_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_int B_2_1) (tptp.is_int (tptp.hAPP_int_int B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_nat_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_int (tptp.hAPP_nat_int B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_Q2096512830t_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_rat_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_real_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f448129468l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_int (tptp.hAPP_f1594865479ol_int B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f54304608l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_int (tptp.hAPP_f659380387ol_int B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1501066425l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f215623910l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1469637905l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f526364711l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f115998247l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P603027463t_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_int (tptp.hAPP_P1175774780nt_int B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P1555980039t_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P1333854989l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P880235623l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P62333565t_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P1463840893t_bool B_1_1 B_2_1))) (tptp.is_int tptp.m) (tptp.is_int tptp.m1) (tptp.is_int tptp.r) (tptp.is_int tptp.s1) (tptp.is_int tptp.s) (tptp.is_int tptp.sa) (tptp.is_int tptp.t) (tptp.is_int tptp.v) (tptp.is_int tptp.w) (tptp.is_int tptp.x) (tptp.is_int tptp.y) _let_204 (tptp.hBOOL (tptp.hAPP_int_bool _let_156 tptp.t)) (forall ((Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat Xa) _let_1)) (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat Ya) _let_1)) tptp.zero_zero_rat) (and (= Xa tptp.zero_zero_rat) (= Ya tptp.zero_zero_rat))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Xa) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Ya) _let_1)) tptp.zero_zero_real) (and (= Xa tptp.zero_zero_real) (= Ya tptp.zero_zero_real))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (and (tptp.is_int Xa) (tptp.is_int Ya)) (= (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Xa) _let_1)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Ya) _let_1)) tptp.zero_zero_int) (and (= Xa tptp.zero_zero_int) (= Ya tptp.zero_zero_int)))))) (= (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat tptp.one_one_rat) _let_3) tptp.one_one_rat) (= (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int tptp.one_on1684967323de_int) _let_3) tptp.one_on1684967323de_int) (= (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex tptp.one_one_complex) _let_3) tptp.one_one_complex) (= (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral tptp.one_on1645066479umeral) _let_3) tptp.one_on1645066479umeral) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real tptp.one_one_real) _let_3) tptp.one_one_real) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat tptp.one_one_nat) _let_3) tptp.one_one_nat) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int tptp.one_one_int) _let_3) tptp.one_one_int) (= (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat tptp.zero_zero_rat) _let_3) tptp.zero_zero_rat) (= (tptp.hAPP_n522471361de_int _let_203 _let_3) tptp.zero_z891286103de_int) (= (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex tptp.zero_zero_complex) _let_3) tptp.zero_zero_complex) (= (tptp.hAPP_n1108039445umeral _let_202 _let_3) tptp.zero_z126310315umeral) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real tptp.zero_zero_real) _let_3) tptp.zero_zero_real) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat tptp.zero_zero_nat) _let_3) tptp.zero_zero_nat) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int tptp.zero_zero_int) _let_3) tptp.zero_zero_int) (forall ((A_1 $$unsorted)) (= (= (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_1) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) tptp.zero_zero_rat) (= A_1 tptp.zero_zero_rat))) (forall ((A_1 $$unsorted)) (= (= (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex A_1) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) tptp.zero_zero_complex) (= A_1 tptp.zero_zero_complex))) (forall ((A_1 $$unsorted)) (= (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_1) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) tptp.zero_zero_real) (= A_1 tptp.zero_zero_real))) (forall ((A_1 $$unsorted)) (=> (tptp.is_int A_1) (= (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_1) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) tptp.zero_zero_int) (= A_1 tptp.zero_zero_int)))) (forall ((W_16 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) (tptp.hAPP_int_rat tptp.number_number_of_rat W_16)) (tptp.hAPP_int_rat tptp.number_number_of_rat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.bit1 tptp.pls)) W_16)))) (forall ((W_16 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex tptp.one_one_complex) (tptp.hAPP_int_complex tptp.number528085621omplex W_16)) (tptp.hAPP_int_complex tptp.number528085621omplex (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.bit1 tptp.pls)) W_16)))) (forall ((W_16 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.one_one_real) (tptp.hAPP_int_real tptp.number267125858f_real W_16)) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.bit1 tptp.pls)) W_16)))) (forall ((W_16 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.hAPP_int_int tptp.number_number_of_int W_16)) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.bit1 tptp.pls)) W_16)))) (forall ((V_25 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_int_rat tptp.number_number_of_rat V_25)) tptp.one_one_rat) (tptp.hAPP_int_rat tptp.number_number_of_rat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_25) (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (forall ((V_25 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_int_complex tptp.number528085621omplex V_25)) tptp.one_one_complex) (tptp.hAPP_int_complex tptp.number528085621omplex (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_25) (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (forall ((V_25 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_int_real tptp.number267125858f_real V_25)) tptp.one_one_real) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_25) (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (forall ((V_25 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.number_number_of_int V_25)) tptp.one_one_int) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_25) (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) _let_201 _let_200 _let_199 _let_198 _let_201 _let_200 _let_199 _let_193 _let_198 (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_int_fun_nat_int tptp.power_power_int X))) (let ((_let_3 (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_nat_int _let_2 _let_3)) _let_3) (tptp.hAPP_nat_int _let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 _let_1)))))))) (forall ((W_15 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat W_15))) (let ((_let_2 (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat tptp.zero_zero_rat) _let_1))) (let ((_let_3 (= _let_1 tptp.zero_zero_nat))) (and (=> _let_3 (= _let_2 tptp.one_one_rat)) (=> (not _let_3) (= _let_2 tptp.zero_zero_rat))))))) (forall ((W_15 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat W_15))) (let ((_let_2 (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int tptp.zero_z891286103de_int) _let_1))) (let ((_let_3 (= _let_1 tptp.zero_zero_nat))) (and (=> _let_3 (= _let_2 tptp.one_on1684967323de_int)) (=> (not _let_3) (= _let_2 tptp.zero_z891286103de_int))))))) (forall ((W_15 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat W_15))) (let ((_let_2 (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex tptp.zero_zero_complex) _let_1))) (let ((_let_3 (= _let_1 tptp.zero_zero_nat))) (and (=> _let_3 (= _let_2 tptp.one_one_complex)) (=> (not _let_3) (= _let_2 tptp.zero_zero_complex))))))) (forall ((W_15 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat W_15))) (let ((_let_2 (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral tptp.zero_z126310315umeral) _let_1))) (let ((_let_3 (= _let_1 tptp.zero_zero_nat))) (and (=> _let_3 (= _let_2 tptp.one_on1645066479umeral)) (=> (not _let_3) (= _let_2 tptp.zero_z126310315umeral))))))) (forall ((W_15 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat W_15))) (let ((_let_2 (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real tptp.zero_zero_real) _let_1))) (let ((_let_3 (= _let_1 tptp.zero_zero_nat))) (and (=> _let_3 (= _let_2 tptp.one_one_real)) (=> (not _let_3) (= _let_2 tptp.zero_zero_real))))))) (forall ((W_15 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat W_15))) (let ((_let_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat tptp.zero_zero_nat) _let_1))) (let ((_let_3 (= _let_1 tptp.zero_zero_nat))) (and (=> _let_3 (= _let_2 tptp.one_one_nat)) (=> (not _let_3) (= _let_2 tptp.zero_zero_nat))))))) (forall ((W_15 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat W_15))) (let ((_let_2 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int tptp.zero_zero_int) _let_1))) (let ((_let_3 (= _let_1 tptp.zero_zero_nat))) (and (=> _let_3 (= _let_2 tptp.one_one_int)) (=> (not _let_3) (= _let_2 tptp.zero_zero_int))))))) _let_197 _let_196 _let_195 _let_191 _let_175 _let_173 _let_171 _let_168 (tptp.hBOOL (tptp.hAPP_nat_bool _let_124 tptp.n)) (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.is_int X) (tptp.is_int Y)) (or (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X) Y)) (= X Y) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Y) X))))) (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int K)) (tptp.hAPP_int_int tptp.number_number_of_int L))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) L)))) (forall ((V_1 $$unsorted) (W $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.number_number_of_int V_1)) (tptp.hAPP_int_int tptp.number_number_of_int W)) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_1) W)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_int_rat tptp.number_number_of_rat Xa)) (tptp.hAPP_int_rat tptp.number_number_of_rat Ya))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Xa) Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_int_real tptp.number267125858f_real Xa)) (tptp.hAPP_int_real tptp.number267125858f_real Ya))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Xa) Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int Xa)) (tptp.hAPP_int_int tptp.number_number_of_int Ya))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Xa) Ya)))) _let_176 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int M)) N) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat M) N)))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat M) N)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int M)) N))) (forall ((M $$unsorted) (N $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int M)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int N)) Z_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) N))) Z_1))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int M)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int N)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) N)))) _let_158 _let_188 _let_194 (forall ((Na $$unsorted)) (= (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int Na) tptp.zero_zero_int) (= Na tptp.zero_zero_nat))) _let_146 _let_193 (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.bit1 K1)) (tptp.hAPP_int_int tptp.bit1 K2))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K1) K2)))) (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.bit1 K)) (tptp.hAPP_int_int tptp.bit1 L))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) L)))) _let_192 (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.bit0 K1)) (tptp.hAPP_int_int tptp.bit0 K2))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K1) K2)))) (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.bit0 K)) (tptp.hAPP_int_int tptp.bit0 L))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) L)))) (forall ((K_2 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int I) J_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int I) K_2)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int J_2) K_2))))) (forall ((V_2 $$unsorted) (V_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat V_2))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat V_1))) (let ((_let_3 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat _let_2) _let_1))) (let ((_let_4 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int V_2) tptp.pls)))) (let ((_let_5 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int V_1) tptp.pls)))) (and (=> _let_5 (= _let_3 _let_1)) (=> (not _let_5) (and (=> _let_4 (= _let_3 _let_2)) (=> (not _let_4) (= _let_3 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_1) V_2))))))))))))) _let_191 _let_169 _let_190 (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (and (tptp.is_int Xa) (tptp.is_int Ya)) (= (= (tptp.hAPP_int_rat tptp.number_number_of_rat Xa) (tptp.hAPP_int_rat tptp.number_number_of_rat Ya)) (= Xa Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (and (tptp.is_int Xa) (tptp.is_int Ya)) (= (= (tptp.hAPP_int_complex tptp.number528085621omplex Xa) (tptp.hAPP_int_complex tptp.number528085621omplex Ya)) (= Xa Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (and (tptp.is_int Xa) (tptp.is_int Ya)) (= (= (tptp.hAPP_int_real tptp.number267125858f_real Xa) (tptp.hAPP_int_real tptp.number267125858f_real Ya)) (= Xa Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (and (tptp.is_int Xa) (tptp.is_int Ya)) (= (= (tptp.hAPP_int_int tptp.number_number_of_int Xa) (tptp.hAPP_int_int tptp.number_number_of_int Ya)) (= Xa Ya)))) (forall ((Wa $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_rat tptp.number_number_of_rat Wa))) (= (= _let_1 Xa) (= Xa _let_1)))) (forall ((Wa $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_i1732201573de_int tptp.number1226105091de_int Wa))) (= (= _let_1 Xa) (= Xa _let_1)))) (forall ((Wa $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_complex tptp.number528085621omplex Wa))) (= (= _let_1 Xa) (= Xa _let_1)))) (forall ((Wa $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_i769753017umeral tptp.number1443263063umeral Wa))) (= (= _let_1 Xa) (= Xa _let_1)))) (forall ((Wa $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_real tptp.number267125858f_real Wa))) (= (= _let_1 Xa) (= Xa _let_1)))) (forall ((Wa $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int Wa))) (=> (tptp.is_int Xa) (= (= _let_1 Xa) (= Xa _let_1))))) (forall ((Wa $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat Wa))) (= (= _let_1 Xa) (= Xa _let_1)))) (forall ((K $$unsorted) (L $$unsorted)) (=> (and (tptp.is_int K) (tptp.is_int L)) (= (= (tptp.hAPP_int_int tptp.bit1 K) (tptp.hAPP_int_int tptp.bit1 L)) (= K L)))) (forall ((K $$unsorted) (L $$unsorted)) (=> (and (tptp.is_int K) (tptp.is_int L)) (= (= (tptp.hAPP_int_int tptp.bit0 K) (tptp.hAPP_int_int tptp.bit0 L)) (= K L)))) (forall ((A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_1) A_1)) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_1) tptp.zero_zero_rat)))) (forall ((A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_1) A_1)) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_1) tptp.zero_zero_real)))) (forall ((A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_1) A_1)) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) tptp.zero_zero_int)))) (forall ((Z1 $$unsorted) (Z2 $$unsorted) (Z3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Z1))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_1 Z2)) Z3) (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Z2) Z3))))) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X))) (let ((_let_2 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Y))) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int _let_2 Z_1)) (tptp.hAPP_int_int _let_2 (tptp.hAPP_int_int _let_1 Z_1)))))) (forall ((Z_1 $$unsorted) (W $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Z_1) W) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int W) Z_1))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int Ma) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Na)) (= Ma Na))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_int_rat tptp.number_number_of_rat Xa)) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Xa) tptp.pls)))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_int_real tptp.number267125858f_real Xa)) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Xa) tptp.pls)))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int Xa)) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Xa) tptp.pls)))) (forall ((Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.hAPP_int_rat tptp.number_number_of_rat Ya))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.pls) Ya)))) (forall ((Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.hAPP_int_real tptp.number267125858f_real Ya))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.pls) Ya)))) (forall ((Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.hAPP_int_int tptp.number_number_of_int Ya))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.pls) Ya)))) (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.bit1 K)) tptp.pls)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) tptp.pls)))) (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.bit1 K1)) (tptp.hAPP_int_int tptp.bit0 K2))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K1) K2)))) (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.bit1 K)) (tptp.hAPP_int_int tptp.bit0 L))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) L)))) (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.bit0 K)) tptp.pls)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) tptp.pls)))) (forall ((K $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.pls))) (= (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int tptp.bit0 K))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 K))))) (forall ((Wa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.bit1 Wa)) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Wa) tptp.zero_zero_int)))) (not (tptp.hBOOL (tptp.hAPP_int_bool _let_140 tptp.zero_zero_int))) (forall ((Wa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.bit0 Wa)) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Wa) tptp.zero_zero_int)))) _let_152 (forall ((Wa $$unsorted) (Z_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Wa))) (=> (and (tptp.is_int Wa) (tptp.is_int Z_2)) (= (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Z_2) tptp.one_one_int))) (or (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Z_2)) (= Wa Z_2)))))) (forall ((K_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int K_2)) tptp.zero_zero_int)))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_int_rat tptp.number_number_of_rat Xa)) tptp.one_one_rat)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Xa) (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_int_real tptp.number267125858f_real Xa)) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Xa) (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int Xa)) tptp.one_one_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Xa) (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (forall ((Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.hAPP_int_rat tptp.number_number_of_rat Ya))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.bit1 tptp.pls)) Ya)))) (forall ((Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real) (tptp.hAPP_int_real tptp.number267125858f_real Ya))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.bit1 tptp.pls)) Ya)))) (forall ((Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) (tptp.hAPP_int_int tptp.number_number_of_int Ya))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.bit1 tptp.pls)) Ya)))) (forall ((Z_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) Z_2)) Z_2)) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Z_2) tptp.zero_zero_int)))) (forall ((A_1 $$unsorted)) (= (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_1) A_1) tptp.zero_zero_rat) (= A_1 tptp.zero_zero_rat))) (forall ((A_1 $$unsorted)) (= (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_1) A_1) tptp.zero_zero_real) (= A_1 tptp.zero_zero_real))) (forall ((A_1 $$unsorted)) (=> (tptp.is_int A_1) (= (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_1) A_1) tptp.zero_zero_int) (= A_1 tptp.zero_zero_int)))) (forall ((K_2 $$unsorted)) (not (= (tptp.hAPP_int_int tptp.bit1 K_2) tptp.pls))) (forall ((L_2 $$unsorted)) (not (= tptp.pls (tptp.hAPP_int_int tptp.bit1 L_2)))) (forall ((K_2 $$unsorted) (L_2 $$unsorted)) (not (= (tptp.hAPP_int_int tptp.bit1 K_2) (tptp.hAPP_int_int tptp.bit0 L_2)))) (forall ((K_2 $$unsorted) (L_2 $$unsorted)) (not (= (tptp.hAPP_int_int tptp.bit0 K_2) (tptp.hAPP_int_int tptp.bit1 L_2)))) (forall ((K $$unsorted)) (=> (tptp.is_int K) (= (= (tptp.hAPP_int_int tptp.bit0 K) tptp.pls) (= K tptp.pls)))) (forall ((L $$unsorted)) (=> (tptp.is_int L) (= (= tptp.pls (tptp.hAPP_int_int tptp.bit0 L)) (= tptp.pls L)))) (= (tptp.hAPP_int_int tptp.bit0 tptp.pls) tptp.pls) (forall ((Xa $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1469637905l_bool (tptp.hAPP_P1681069257l_bool tptp.member308914164t_bool Xa) A)) (tptp.hBOOL (tptp.hAPP_P880235623l_bool A Xa)))) (forall ((Xa $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f526364711l_bool (tptp.hAPP_P1062890741l_bool tptp.member2143287562nt_int Xa) A)) (tptp.hBOOL (tptp.hAPP_P62333565t_bool A Xa)))) (forall ((Xa $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1501066425l_bool (tptp.hAPP_r1130899993l_bool tptp.member_real Xa) A)) (tptp.hBOOL (tptp.hAPP_real_bool A Xa)))) (forall ((Xa $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat Xa) A)) (tptp.hBOOL (tptp.hAPP_nat_bool A Xa)))) (forall ((Xa $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f628503027l_bool tptp.member_fun_int_bool Xa) A)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool A Xa)))) (forall ((Xa $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f115998247l_bool (tptp.hAPP_P1876494581l_bool tptp.member180897546at_nat Xa) A)) (tptp.hBOOL (tptp.hAPP_P1463840893t_bool A Xa)))) (forall ((Xa $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) A)) (tptp.hBOOL (tptp.hAPP_int_bool A Xa)))) (forall ((P_1 $$unsorted)) (= (tptp.collec1979865426at_nat P_1) P_1)) (forall ((P_1 $$unsorted)) (= (tptp.collect_real P_1) P_1)) (forall ((P_1 $$unsorted)) (= (tptp.collec1347809874nt_int P_1) P_1)) (forall ((P_1 $$unsorted)) (= (tptp.collec50511176nt_int P_1) P_1)) (forall ((P_1 $$unsorted)) (= (tptp.collect_nat P_1) P_1)) (forall ((P_1 $$unsorted)) (= (tptp.collect_int P_1) P_1)) _let_189 _let_159 (forall ((K_2 $$unsorted)) (=> (tptp.is_int K_2) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int K_2) tptp.pls) K_2))) (forall ((K_2 $$unsorted)) (=> (tptp.is_int K_2) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.pls) K_2) K_2))) (forall ((K_2 $$unsorted) (L_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.bit0 K_2)) (tptp.hAPP_int_int tptp.bit0 L_2)) (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int K_2) L_2)))) (forall ((K_2 $$unsorted)) (= (tptp.hAPP_int_int tptp.bit0 K_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int K_2) K_2))) (forall ((Z_1 $$unsorted)) (=> (tptp.is_int Z_1) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Z_1) tptp.zero_zero_int) Z_1))) (forall ((Z_1 $$unsorted)) (=> (tptp.is_int Z_1) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.zero_zero_int) Z_1) Z_1))) _let_186 _let_185 _let_184 _let_188 _let_183 _let_186 _let_185 _let_184 _let_183 _let_182 _let_180 _let_178 _let_176 (forall ((A_203 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_int_rat tptp.number_number_of_rat tptp.pls)) A_203) A_203)) (forall ((A_203 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_int_complex tptp.number528085621omplex tptp.pls)) A_203) A_203)) (forall ((A_203 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.pls)) A_203) A_203)) (forall ((A_203 $$unsorted)) (=> (tptp.is_int A_203) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.number_number_of_int tptp.pls)) A_203) A_203))) (forall ((A_202 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_202) (tptp.hAPP_int_rat tptp.number_number_of_rat tptp.pls)) A_202)) (forall ((A_202 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex A_202) (tptp.hAPP_int_complex tptp.number528085621omplex tptp.pls)) A_202)) (forall ((A_202 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_202) (tptp.hAPP_int_real tptp.number267125858f_real tptp.pls)) A_202)) (forall ((A_202 $$unsorted)) (=> (tptp.is_int A_202) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_202) (tptp.hAPP_int_int tptp.number_number_of_int tptp.pls)) A_202))) (forall ((A_1 $$unsorted) (Wa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat Wa))) (= (= (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_1) _let_1) tptp.zero_zero_rat) (and (= A_1 tptp.zero_zero_rat) (not (= _let_1 tptp.zero_zero_nat)))))) (forall ((A_1 $$unsorted) (Wa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat Wa))) (= (= (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int A_1) _let_1) tptp.zero_z891286103de_int) (and (= A_1 tptp.zero_z891286103de_int) (not (= _let_1 tptp.zero_zero_nat)))))) (forall ((A_1 $$unsorted) (Wa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat Wa))) (= (= (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex A_1) _let_1) tptp.zero_zero_complex) (and (= A_1 tptp.zero_zero_complex) (not (= _let_1 tptp.zero_zero_nat)))))) (forall ((A_1 $$unsorted) (Wa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat Wa))) (= (= (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral A_1) _let_1) tptp.zero_z126310315umeral) (and (= A_1 tptp.zero_z126310315umeral) (not (= _let_1 tptp.zero_zero_nat)))))) (forall ((A_1 $$unsorted) (Wa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat Wa))) (= (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_1) _let_1) tptp.zero_zero_real) (and (= A_1 tptp.zero_zero_real) (not (= _let_1 tptp.zero_zero_nat)))))) (forall ((A_1 $$unsorted) (Wa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat Wa))) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_1) _let_1) tptp.zero_zero_nat) (and (= A_1 tptp.zero_zero_nat) (not (= _let_1 tptp.zero_zero_nat)))))) (forall ((A_1 $$unsorted) (Wa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat Wa))) (=> (tptp.is_int A_1) (= (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_1) _let_1) tptp.zero_zero_int) (and (= A_1 tptp.zero_zero_int) (not (= _let_1 tptp.zero_zero_nat))))))) (forall ((V_24 $$unsorted) (W_14 $$unsorted) (Z_21 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_int_rat tptp.number_number_of_rat V_24)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_int_rat tptp.number_number_of_rat W_14)) Z_21)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_int_rat tptp.number_number_of_rat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_24) W_14))) Z_21))) (forall ((V_24 $$unsorted) (W_14 $$unsorted) (Z_21 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_int_complex tptp.number528085621omplex V_24)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_int_complex tptp.number528085621omplex W_14)) Z_21)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_int_complex tptp.number528085621omplex (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_24) W_14))) Z_21))) (forall ((V_24 $$unsorted) (W_14 $$unsorted) (Z_21 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_int_real tptp.number267125858f_real V_24)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_int_real tptp.number267125858f_real W_14)) Z_21)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_24) W_14))) Z_21))) (forall ((V_24 $$unsorted) (W_14 $$unsorted) (Z_21 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.number_number_of_int V_24)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.number_number_of_int W_14)) Z_21)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_24) W_14))) Z_21))) (forall ((V_23 $$unsorted) (W_13 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_int_rat tptp.number_number_of_rat V_23)) (tptp.hAPP_int_rat tptp.number_number_of_rat W_13)) (tptp.hAPP_int_rat tptp.number_number_of_rat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_23) W_13)))) (forall ((V_23 $$unsorted) (W_13 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_int_complex tptp.number528085621omplex V_23)) (tptp.hAPP_int_complex tptp.number528085621omplex W_13)) (tptp.hAPP_int_complex tptp.number528085621omplex (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_23) W_13)))) (forall ((V_23 $$unsorted) (W_13 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_int_real tptp.number267125858f_real V_23)) (tptp.hAPP_int_real tptp.number267125858f_real W_13)) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_23) W_13)))) (forall ((V_23 $$unsorted) (W_13 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.number_number_of_int V_23)) (tptp.hAPP_int_int tptp.number_number_of_int W_13)) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_23) W_13)))) (forall ((V_22 $$unsorted) (W_12 $$unsorted)) (= (tptp.hAPP_int_rat tptp.number_number_of_rat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_22) W_12)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_int_rat tptp.number_number_of_rat V_22)) (tptp.hAPP_int_rat tptp.number_number_of_rat W_12)))) (forall ((V_22 $$unsorted) (W_12 $$unsorted)) (= (tptp.hAPP_int_complex tptp.number528085621omplex (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_22) W_12)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_int_complex tptp.number528085621omplex V_22)) (tptp.hAPP_int_complex tptp.number528085621omplex W_12)))) (forall ((V_22 $$unsorted) (W_12 $$unsorted)) (= (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_22) W_12)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_int_real tptp.number267125858f_real V_22)) (tptp.hAPP_int_real tptp.number267125858f_real W_12)))) (forall ((V_22 $$unsorted) (W_12 $$unsorted)) (= (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_22) W_12)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.number_number_of_int V_22)) (tptp.hAPP_int_int tptp.number_number_of_int W_12)))) (forall ((K_2 $$unsorted) (L_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.bit1 K_2)) (tptp.hAPP_int_int tptp.bit0 L_2)) (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int K_2) L_2)))) (forall ((K_2 $$unsorted) (L_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.bit0 K_2)) (tptp.hAPP_int_int tptp.bit1 L_2)) (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int K_2) L_2)))) (forall ((K_2 $$unsorted)) (= (tptp.hAPP_int_int tptp.bit1 K_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) K_2)) K_2))) (forall ((Z_1 $$unsorted)) (not (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) Z_1)) Z_1) tptp.zero_zero_int))) (forall ((N_58 $$unsorted)) (= (tptp.hAPP_int_rat tptp.number_number_of_rat (tptp.hAPP_nat_int tptp.semiri1621563631at_int N_58)) (tptp.hAPP_nat_rat tptp.semiri151668891at_rat N_58))) (forall ((N_58 $$unsorted)) (= (tptp.hAPP_int_complex tptp.number528085621omplex (tptp.hAPP_nat_int tptp.semiri1621563631at_int N_58)) (tptp.hAPP_nat_complex tptp.semiri2020571505omplex N_58))) (forall ((N_58 $$unsorted)) (= (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_nat_int tptp.semiri1621563631at_int N_58)) (tptp.hAPP_nat_real tptp.semiri132038758t_real N_58))) (forall ((N_58 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_int tptp.semiri1621563631at_int N_58))) (= (tptp.hAPP_int_int tptp.number_number_of_int _let_1) _let_1))) (forall ((N_58 $$unsorted)) (= (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_nat_int tptp.semiri1621563631at_int N_58)) (tptp.hAPP_nat_nat tptp.semiri984289939at_nat N_58))) (forall ((A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_1) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (not (= A_1 tptp.zero_zero_rat)))) (forall ((A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_1) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (not (= A_1 tptp.zero_zero_real)))) (forall ((A_1 $$unsorted)) (=> (tptp.is_int A_1) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_1) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (not (= A_1 tptp.zero_zero_int))))) (forall ((A_201 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_201) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) tptp.zero_zero_rat)))) (forall ((A_201 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_201) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) tptp.zero_zero_real)))) (forall ((A_201 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_201) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) tptp.zero_zero_int)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat Xa) _let_1)) (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat Ya) _let_1)))) (or (not (= Xa tptp.zero_zero_rat)) (not (= Ya tptp.zero_zero_rat)))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Xa) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Ya) _let_1)))) (or (not (= Xa tptp.zero_zero_real)) (not (= Ya tptp.zero_zero_real)))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (and (tptp.is_int Xa) (tptp.is_int Ya)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Xa) _let_1)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Ya) _let_1)))) (or (not (= Xa tptp.zero_zero_int)) (not (= Ya tptp.zero_zero_int))))))) (forall ((X_64 $$unsorted) (Y_53 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat X_64) _let_1)) (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat Y_53) _let_1))) tptp.zero_zero_rat))))) (forall ((X_64 $$unsorted) (Y_53 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X_64) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y_53) _let_1))) tptp.zero_zero_real))))) (forall ((X_64 $$unsorted) (Y_53 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X_64) _let_1)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Y_53) _let_1))) tptp.zero_zero_int))))) (forall ((W_11 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_rat tptp.number_number_of_rat W_11))) (= (tptp.hAPP_int_rat tptp.number_number_of_rat (tptp.hAPP_int_int tptp.bit0 W_11)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat tptp.zero_zero_rat) _let_1)) _let_1)))) (forall ((W_11 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_complex tptp.number528085621omplex W_11))) (= (tptp.hAPP_int_complex tptp.number528085621omplex (tptp.hAPP_int_int tptp.bit0 W_11)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex tptp.zero_zero_complex) _let_1)) _let_1)))) (forall ((W_11 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_real tptp.number267125858f_real W_11))) (= (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 W_11)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.zero_zero_real) _let_1)) _let_1)))) (forall ((W_11 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int W_11))) (= (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 W_11)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.zero_zero_int) _let_1)) _let_1)))) (forall ((W_10 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_rat tptp.number_number_of_rat W_10))) (= (tptp.hAPP_int_rat tptp.number_number_of_rat (tptp.hAPP_int_int tptp.bit1 W_10)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) _let_1)) _let_1)))) (forall ((W_10 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_complex tptp.number528085621omplex W_10))) (= (tptp.hAPP_int_complex tptp.number528085621omplex (tptp.hAPP_int_int tptp.bit1 W_10)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex tptp.one_one_complex) _let_1)) _let_1)))) (forall ((W_10 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_real tptp.number267125858f_real W_10))) (= (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit1 W_10)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.one_one_real) _let_1)) _let_1)))) (forall ((W_10 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int W_10))) (= (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit1 W_10)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) _let_1)) _let_1)))) _let_175 _let_173 _let_171 _let_169 _let_168 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.m1) _let_6)) (forall ((N_57 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real tptp.semiri132038758t_real N_57)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) N_57)))) (forall ((N_57 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int N_57)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) N_57)))) (forall ((N_57 $$unsorted)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_nat_rat tptp.semiri151668891at_rat N_57)) (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat (tptp.hAPP_int_rat tptp.number_number_of_rat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) N_57)))) (= _let_9 (tptp.hAPP_nat_int tptp.semiri1621563631at_int _let_3)) (= _let_11 (tptp.hAPP_nat_int tptp.semiri1621563631at_int _let_84)) (forall ((Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Xa) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Ya) _let_1)) tptp.zero_zero_real) (and (= Xa tptp.zero_zero_real) (= Ya tptp.zero_zero_real))))) (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.hAPP_nat_rat tptp.semiri151668891at_rat Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)))) (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.zero_z891286103de_int) (tptp.hAPP_n522471361de_int tptp.semiri1424489471de_int Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)))) (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.zero_z126310315umeral) (tptp.hAPP_n1108039445umeral tptp.semiri1619134803umeral Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)))) (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.hAPP_nat_real tptp.semiri132038758t_real Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)))) (forall ((Na $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat))) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat tptp.semiri984289939at_nat Na))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Na))))) (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)))) (forall ((N_56 $$unsorted) (A_200 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.one_one_rat))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 A_200)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_56)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_200) N_56))))))) (forall ((N_56 $$unsorted) (A_200 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.one_on1684967323de_int))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 A_200)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_56)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int A_200) N_56))))))) (forall ((N_56 $$unsorted) (A_200 $$unsorted)) (let ((_let_1 (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.one_on1645066479umeral))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 A_200)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_56)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral A_200) N_56))))))) (forall ((N_56 $$unsorted) (A_200 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_200)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_56)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_200) N_56))))))) (forall ((N_56 $$unsorted) (A_200 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.one_one_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_200)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_56)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_200) N_56))))))) (forall ((N_56 $$unsorted) (A_200 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_200)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_56)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_200) N_56))))))) (forall ((N_55 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat tptp.zero_zero_rat) N_55))) (let ((_let_2 (= N_55 tptp.zero_zero_nat))) (and (=> _let_2 (= _let_1 tptp.one_one_rat)) (=> (not _let_2) (= _let_1 tptp.zero_zero_rat)))))) _let_166 (forall ((N_55 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex tptp.zero_zero_complex) N_55))) (let ((_let_2 (= N_55 tptp.zero_zero_nat))) (and (=> _let_2 (= _let_1 tptp.one_one_complex)) (=> (not _let_2) (= _let_1 tptp.zero_zero_complex)))))) _let_165 (forall ((N_55 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real tptp.zero_zero_real) N_55))) (let ((_let_2 (= N_55 tptp.zero_zero_nat))) (and (=> _let_2 (= _let_1 tptp.one_one_real)) (=> (not _let_2) (= _let_1 tptp.zero_zero_real)))))) (forall ((N_55 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat tptp.zero_zero_nat) N_55))) (let ((_let_2 (= N_55 tptp.zero_zero_nat))) (and (=> _let_2 (= _let_1 tptp.one_one_nat)) (=> (not _let_2) (= _let_1 tptp.zero_zero_nat)))))) (forall ((N_55 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int tptp.zero_zero_int) N_55))) (let ((_let_2 (= N_55 tptp.zero_zero_nat))) (and (=> _let_2 (= _let_1 tptp.one_one_int)) (=> (not _let_2) (= _let_1 tptp.zero_zero_int)))))) (forall ((A_199 $$unsorted) (N_54 $$unsorted) (N_53 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_199))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_54) N_53)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) A_199)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_199) tptp.one_one_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_nat_rat _let_1 N_53)) (tptp.hAPP_nat_rat _let_1 N_54)))))))) (forall ((A_199 $$unsorted) (N_54 $$unsorted) (N_53 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int A_199))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_54) N_53)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.zero_z891286103de_int) A_199)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_199) tptp.one_on1684967323de_int)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_n522471361de_int _let_1 N_53)) (tptp.hAPP_n522471361de_int _let_1 N_54)))))))) (forall ((A_199 $$unsorted) (N_54 $$unsorted) (N_53 $$unsorted)) (let ((_let_1 (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral A_199))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_54) N_53)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.zero_z126310315umeral) A_199)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral A_199) tptp.one_on1645066479umeral)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral (tptp.hAPP_n1108039445umeral _let_1 N_53)) (tptp.hAPP_n1108039445umeral _let_1 N_54)))))))) (forall ((A_199 $$unsorted) (N_54 $$unsorted) (N_53 $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real A_199))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_54) N_53)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) A_199)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_199) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real _let_1 N_53)) (tptp.hAPP_nat_real _let_1 N_54)))))))) (forall ((A_199 $$unsorted) (N_54 $$unsorted) (N_53 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_199))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_54) N_53)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) A_199)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_199) tptp.one_one_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 N_53)) (tptp.hAPP_nat_nat _let_1 N_54)))))))) (forall ((A_199 $$unsorted) (N_54 $$unsorted) (N_53 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_199))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_54) N_53)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) A_199)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_199) tptp.one_one_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int _let_1 N_53)) (tptp.hAPP_nat_int _let_1 N_54)))))))) (tptp.hBOOL (tptp.hAPP_rat_bool _let_155 _let_164)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_154 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int tptp.one_on1684967323de_int) tptp.one_on1684967323de_int))) (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_153 (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral tptp.one_on1645066479umeral) tptp.one_on1645066479umeral))) (tptp.hBOOL (tptp.hAPP_real_bool _let_76 _let_163)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_124 _let_162)) (tptp.hBOOL (tptp.hAPP_int_bool _let_41 _let_161)) (forall ((P_1 $$unsorted) (K $$unsorted) (I_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) I_1)) (=> (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int K) tptp.one_one_int))) (=> (forall ((I_2 $$unsorted)) (=> (tptp.is_int I_2) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) I_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool P_1 I_2)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int I_2) tptp.one_one_int))))))) (tptp.hBOOL (tptp.hAPP_int_bool P_1 I_1)))))) (= tptp.zero_zero_int _let_143) (tptp.hBOOL (tptp.hAPP_nat_bool _let_124 tptp.tn)) (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) tptp.zero_zero_nat)))) _let_160 (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) N)))) (forall ((I $$unsorted) (J_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I) J_2)) I)))) (forall ((J_2 $$unsorted) (I $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J_2) I)) I)))) (forall ((K_2 $$unsorted)) (=> (tptp.is_int K_2) (= (tptp.hAPP_int_int tptp.number_number_of_int K_2) K_2))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (not (= Ma Na)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) Na)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) Ma))))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) M))) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat X))) (let ((_let_2 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Y))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat _let_2 Z_1)) (tptp.hAPP_nat_nat _let_2 (tptp.hAPP_nat_nat _let_1 Z_1)))))) (forall ((M $$unsorted) (N $$unsorted) (K_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat _let_1 N)) K_2) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) K_2))))) (forall ((K $$unsorted) (Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K))) (= (= (tptp.hAPP_nat_nat _let_1 Ma) (tptp.hAPP_nat_nat _let_1 Na)) (= Ma Na)))) (forall ((Ma $$unsorted) (K $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ma) K) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Na) K)) (= Ma Na))) (forall ((K $$unsorted) (Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 Ma)) (tptp.hAPP_nat_nat _let_1 Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) Na))))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (not (= X Y)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X) Y))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y) X))))) (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) N)))) (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) M)) (not (= M N)))) (forall ((S_1 $$unsorted) (T_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat S_1) T_1)) (not (= S_1 T_1)))) (forall ((M $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 J_2)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J_2) M)))))) (forall ((M $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 J_2)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) J_2)))))) (forall ((K_2 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) J_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I) K_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J_2) K_2))))) (forall ((K_2 $$unsorted) (L_2 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) J_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat K_2) L_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I) K_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J_2) L_2)))))) (forall ((M $$unsorted) (N $$unsorted) (K_2 $$unsorted) (L_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat K_2) L_2)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) L_2) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K_2) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N))))) (forall ((I $$unsorted) (J_2 $$unsorted) (K_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I) J_2)) K_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) K_2)))) (forall ((P_1 $$unsorted) (Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool P_1 Na) Ma)))) (=> (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) Na)) _let_1) (=> (=> (= Ma Na) _let_1) (=> (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) Ma)) _let_1) _let_1))))) (forall ((N $$unsorted)) (=> (not (= N tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (not (= N tptp.zero_zero_nat)))) (forall ((M $$unsorted) (N $$unsorted) (I $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat I))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) I)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 M)) (tptp.hAPP_nat_nat _let_1 N))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)))))) (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) tptp.zero_zero_nat)))) (forall ((Xa $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat))) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat Xa) Na))) (or (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Xa)) (= Na tptp.zero_zero_nat))))) (forall ((Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat))) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ma) Na))) (or (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Ma)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Na)))))) (forall ((Na $$unsorted)) (= (not (= Na tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)))) (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) tptp.zero_zero_nat)))) (forall ((Xa $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat))) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat Xa) Na))) (or (= Na tptp.zero_zero_nat) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Xa)))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int Xa)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Ya))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Xa) Ya)))) (forall ((Xa $$unsorted) (Wa $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat Wa))) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat Xa) _let_2))) (or (= _let_2 tptp.zero_zero_nat) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Xa))))))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int Ma)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) Na)))) (forall ((Va $$unsorted) (V $$unsorted)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Va) V)))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_int_nat tptp.number_number_of_nat Va)) (tptp.hAPP_int_nat tptp.number_number_of_nat V))) (and (=> _let_1 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.pls) V))) _let_1)))) (forall ((X_63 $$unsorted) (Y_52 $$unsorted)) (=> (not (= X_63 Y_52)) (=> (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat X_63) Y_52))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Y_52) X_63))))) (forall ((X_63 $$unsorted) (Y_52 $$unsorted)) (=> (not (= X_63 Y_52)) (=> (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_63) Y_52))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y_52) X_63))))) (forall ((X_63 $$unsorted) (Y_52 $$unsorted)) (=> (and (tptp.is_int X_63) (tptp.is_int Y_52)) (=> (not (= X_63 Y_52)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_63) Y_52))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Y_52) X_63)))))) (forall ((M $$unsorted) (N $$unsorted)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) N) M) (= N tptp.zero_zero_nat))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ma) Na) tptp.zero_zero_nat) (and (= Ma tptp.zero_zero_nat) (= Na tptp.zero_zero_nat)))) (forall ((M $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) tptp.zero_zero_nat) M)) (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.zero_zero_nat) N) N)) (forall ((A_198 $$unsorted)) (= (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex A_198) tptp.one_one_nat) A_198)) (forall ((A_198 $$unsorted)) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_198) tptp.one_one_nat) A_198)) (forall ((A_198 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_198) tptp.one_one_nat) A_198)) (forall ((A_198 $$unsorted)) (=> (tptp.is_int A_198) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_198) tptp.one_one_nat) A_198))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_rat tptp.semiri151668891at_rat Ma) (tptp.hAPP_nat_rat tptp.semiri151668891at_rat Na)) (= Ma Na))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_complex tptp.semiri2020571505omplex Ma) (tptp.hAPP_nat_complex tptp.semiri2020571505omplex Na)) (= Ma Na))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_real tptp.semiri132038758t_real Ma) (tptp.hAPP_nat_real tptp.semiri132038758t_real Na)) (= Ma Na))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int Ma) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Na)) (= Ma Na))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int Xa) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Ya)) (= Xa Ya))) (forall ((Xa $$unsorted) (Ya $$unsorted) (P_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_b992065680at_nat tptp.if_nat P_1) Xa) Ya)))) (let ((_let_2 (tptp.hBOOL P_1))) (and (=> _let_2 (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int Xa) _let_1)) (=> (not _let_2) (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int Ya) _let_1)))))) (forall ((Va $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.hAPP_int_nat tptp.number_number_of_nat Va))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.pls) Va)))) (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)))) (not (= tptp.one_one_rat tptp.zero_zero_rat)) (not (= tptp.one_on1684967323de_int tptp.zero_z891286103de_int)) (not (= tptp.one_one_complex tptp.zero_zero_complex)) (not (= tptp.one_on1645066479umeral tptp.zero_z126310315umeral)) (not (= tptp.one_one_real tptp.zero_zero_real)) (not (= tptp.one_one_nat tptp.zero_zero_nat)) (not (= tptp.one_one_int tptp.zero_zero_int)) (not (= tptp.zero_zero_rat tptp.one_one_rat)) (not (= tptp.zero_z891286103de_int tptp.one_on1684967323de_int)) (not (= tptp.zero_zero_complex tptp.one_one_complex)) (not (= tptp.zero_z126310315umeral tptp.one_on1645066479umeral)) _let_160 (not (= tptp.zero_zero_nat tptp.one_one_nat)) _let_159 (forall ((N_52 $$unsorted) (A_197 $$unsorted)) (=> (not (= A_197 tptp.zero_zero_rat)) (not (= (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_197) N_52) tptp.zero_zero_rat)))) (forall ((N_52 $$unsorted) (A_197 $$unsorted)) (=> (not (= A_197 tptp.zero_zero_complex)) (not (= (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex A_197) N_52) tptp.zero_zero_complex)))) (forall ((N_52 $$unsorted) (A_197 $$unsorted)) (=> (not (= A_197 tptp.zero_zero_real)) (not (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_197) N_52) tptp.zero_zero_real)))) (forall ((N_52 $$unsorted) (A_197 $$unsorted)) (=> (tptp.is_int A_197) (=> (not (= A_197 tptp.zero_zero_int)) (not (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_197) N_52) tptp.zero_zero_int))))) (forall ((N_51 $$unsorted)) (= (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat tptp.one_one_rat) N_51) tptp.one_one_rat)) (forall ((N_51 $$unsorted)) (= (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int tptp.one_on1684967323de_int) N_51) tptp.one_on1684967323de_int)) (forall ((N_51 $$unsorted)) (= (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex tptp.one_one_complex) N_51) tptp.one_one_complex)) (forall ((N_51 $$unsorted)) (= (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral tptp.one_on1645066479umeral) N_51) tptp.one_on1645066479umeral)) (forall ((N_51 $$unsorted)) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real tptp.one_one_real) N_51) tptp.one_one_real)) (forall ((N_51 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat tptp.one_one_nat) N_51) tptp.one_one_nat)) (forall ((N_51 $$unsorted)) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int tptp.one_one_int) N_51) tptp.one_one_int)) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_nat_rat tptp.semiri151668891at_rat Ma)) (tptp.hAPP_nat_rat tptp.semiri151668891at_rat Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) Na)))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_n522471361de_int tptp.semiri1424489471de_int Ma)) (tptp.hAPP_n522471361de_int tptp.semiri1424489471de_int Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) Na)))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real tptp.semiri132038758t_real Ma)) (tptp.hAPP_nat_real tptp.semiri132038758t_real Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) Na)))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.semiri984289939at_nat Ma)) (tptp.hAPP_nat_nat tptp.semiri984289939at_nat Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) Na)))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int Ma)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) Na)))) (forall ((M_26 $$unsorted) (N_50 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_26) N_50)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_nat_rat tptp.semiri151668891at_rat M_26)) (tptp.hAPP_nat_rat tptp.semiri151668891at_rat N_50))))) (forall ((M_26 $$unsorted) (N_50 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_26) N_50)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_n522471361de_int tptp.semiri1424489471de_int M_26)) (tptp.hAPP_n522471361de_int tptp.semiri1424489471de_int N_50))))) (forall ((M_26 $$unsorted) (N_50 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_26) N_50)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real tptp.semiri132038758t_real M_26)) (tptp.hAPP_nat_real tptp.semiri132038758t_real N_50))))) (forall ((M_26 $$unsorted) (N_50 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_26) N_50)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.semiri984289939at_nat M_26)) (tptp.hAPP_nat_nat tptp.semiri984289939at_nat N_50))))) (forall ((M_26 $$unsorted) (N_50 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_26) N_50)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int M_26)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int N_50))))) (forall ((M_25 $$unsorted) (N_49 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_nat_rat tptp.semiri151668891at_rat M_25)) (tptp.hAPP_nat_rat tptp.semiri151668891at_rat N_49))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_25) N_49)))) (forall ((M_25 $$unsorted) (N_49 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_n522471361de_int tptp.semiri1424489471de_int M_25)) (tptp.hAPP_n522471361de_int tptp.semiri1424489471de_int N_49))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_25) N_49)))) (forall ((M_25 $$unsorted) (N_49 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real tptp.semiri132038758t_real M_25)) (tptp.hAPP_nat_real tptp.semiri132038758t_real N_49))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_25) N_49)))) (forall ((M_25 $$unsorted) (N_49 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.semiri984289939at_nat M_25)) (tptp.hAPP_nat_nat tptp.semiri984289939at_nat N_49))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_25) N_49)))) (forall ((M_25 $$unsorted) (N_49 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int M_25)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int N_49))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_25) N_49)))) (forall ((M_24 $$unsorted) (N_48 $$unsorted)) (= (tptp.hAPP_nat_rat tptp.semiri151668891at_rat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_24) N_48)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_nat_rat tptp.semiri151668891at_rat M_24)) (tptp.hAPP_nat_rat tptp.semiri151668891at_rat N_48)))) (forall ((M_24 $$unsorted) (N_48 $$unsorted)) (= (tptp.hAPP_n522471361de_int tptp.semiri1424489471de_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_24) N_48)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int (tptp.hAPP_n522471361de_int tptp.semiri1424489471de_int M_24)) (tptp.hAPP_n522471361de_int tptp.semiri1424489471de_int N_48)))) (forall ((M_24 $$unsorted) (N_48 $$unsorted)) (= (tptp.hAPP_nat_complex tptp.semiri2020571505omplex (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_24) N_48)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_nat_complex tptp.semiri2020571505omplex M_24)) (tptp.hAPP_nat_complex tptp.semiri2020571505omplex N_48)))) (forall ((M_24 $$unsorted) (N_48 $$unsorted)) (= (tptp.hAPP_nat_real tptp.semiri132038758t_real (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_24) N_48)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real tptp.semiri132038758t_real M_24)) (tptp.hAPP_nat_real tptp.semiri132038758t_real N_48)))) (forall ((M_24 $$unsorted) (N_48 $$unsorted)) (= (tptp.hAPP_nat_nat tptp.semiri984289939at_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_24) N_48)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat tptp.semiri984289939at_nat M_24)) (tptp.hAPP_nat_nat tptp.semiri984289939at_nat N_48)))) (forall ((M_24 $$unsorted) (N_48 $$unsorted)) (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_24) N_48)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int M_24)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int N_48)))) (= (tptp.hAPP_nat_rat tptp.semiri151668891at_rat tptp.one_one_nat) tptp.one_one_rat) (= (tptp.hAPP_n522471361de_int tptp.semiri1424489471de_int tptp.one_one_nat) tptp.one_on1684967323de_int) (= (tptp.hAPP_nat_complex tptp.semiri2020571505omplex tptp.one_one_nat) tptp.one_one_complex) (= (tptp.hAPP_n1108039445umeral tptp.semiri1619134803umeral tptp.one_one_nat) tptp.one_on1645066479umeral) (= (tptp.hAPP_nat_real tptp.semiri132038758t_real tptp.one_one_nat) tptp.one_one_real) (= (tptp.hAPP_nat_nat tptp.semiri984289939at_nat tptp.one_one_nat) tptp.one_one_nat) _let_158 (forall ((M_23 $$unsorted) (N_47 $$unsorted)) (= (tptp.hAPP_nat_complex tptp.semiri2020571505omplex (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat M_23) N_47)) (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex (tptp.hAPP_nat_complex tptp.semiri2020571505omplex M_23)) N_47))) (forall ((M_23 $$unsorted) (N_47 $$unsorted)) (= (tptp.hAPP_nat_real tptp.semiri132038758t_real (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat M_23) N_47)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_nat_real tptp.semiri132038758t_real M_23)) N_47))) (forall ((M_23 $$unsorted) (N_47 $$unsorted)) (= (tptp.hAPP_nat_nat tptp.semiri984289939at_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat M_23) N_47)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat (tptp.hAPP_nat_nat tptp.semiri984289939at_nat M_23)) N_47))) (forall ((M_23 $$unsorted) (N_47 $$unsorted)) (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat M_23) N_47)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int M_23)) N_47))) (forall ((M_23 $$unsorted) (N_47 $$unsorted)) (= (tptp.hAPP_nat_rat tptp.semiri151668891at_rat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat M_23) N_47)) (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat (tptp.hAPP_nat_rat tptp.semiri151668891at_rat M_23)) N_47))) (= tptp.one_one_int _let_157) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int X)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Y)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat X) Y)))) (forall ((X $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int X)) N) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat X) N)))) (forall ((B_134 $$unsorted) (C_78 $$unsorted) (A_196 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat B_134))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) A_196)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 C_78)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_196) C_78))))))) (forall ((B_134 $$unsorted) (C_78 $$unsorted) (A_196 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int B_134))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.zero_z891286103de_int) A_196)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 C_78)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_196) C_78))))))) (forall ((B_134 $$unsorted) (C_78 $$unsorted) (A_196 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real B_134))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) A_196)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 C_78)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_196) C_78))))))) (forall ((B_134 $$unsorted) (C_78 $$unsorted) (A_196 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat B_134))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) A_196)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 C_78)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_196) C_78))))))) (forall ((B_134 $$unsorted) (C_78 $$unsorted) (A_196 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_134))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) A_196)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 C_78)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_196) C_78))))))) (forall ((B_134 $$unsorted) (C_78 $$unsorted) (A_196 $$unsorted)) (let ((_let_1 (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral B_134))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.zero_z126310315umeral) A_196)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 C_78)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral A_196) C_78))))))) (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.one_one_rat) tptp.zero_zero_rat))) (not (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.one_on1684967323de_int) tptp.zero_z891286103de_int))) (not (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.one_on1645066479umeral) tptp.zero_z126310315umeral))) (not (tptp.hBOOL (tptp.hAPP_real_bool _let_78 tptp.zero_zero_real))) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.one_one_nat) tptp.zero_zero_nat))) (not (tptp.hBOOL (tptp.hAPP_int_bool _let_156 tptp.zero_zero_int))) (tptp.hBOOL (tptp.hAPP_rat_bool _let_155 tptp.one_one_rat)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_154 tptp.one_on1684967323de_int)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_153 tptp.one_on1645066479umeral)) (tptp.hBOOL (tptp.hAPP_real_bool _let_76 tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_124 tptp.one_one_nat)) _let_152 (forall ((N_46 $$unsorted) (A_195 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 A_195)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_195) N_46)))))) (forall ((N_46 $$unsorted) (A_195 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.zero_z891286103de_int))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 A_195)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int A_195) N_46)))))) (forall ((N_46 $$unsorted) (A_195 $$unsorted)) (let ((_let_1 (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.zero_z126310315umeral))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 A_195)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral A_195) N_46)))))) (forall ((N_46 $$unsorted) (A_195 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_195)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_195) N_46)))))) (forall ((N_46 $$unsorted) (A_195 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_195)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_195) N_46)))))) _let_151 (forall ((A_194 $$unsorted)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_194) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_194) tptp.one_one_rat)))) (forall ((A_194 $$unsorted)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_194) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_194) tptp.one_on1684967323de_int)))) (forall ((A_194 $$unsorted)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral A_194) (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral A_194) tptp.one_on1645066479umeral)))) (forall ((A_194 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_194) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_194) tptp.one_one_real)))) (forall ((A_194 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_194) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_194) tptp.one_one_nat)))) (forall ((A_194 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_194) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_194) tptp.one_one_int)))) (forall ((Ma $$unsorted) (Na $$unsorted) (A_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_1))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.one_one_rat) A_1)) (= (= (tptp.hAPP_nat_rat _let_1 Ma) (tptp.hAPP_nat_rat _let_1 Na)) (= Ma Na))))) (forall ((Ma $$unsorted) (Na $$unsorted) (A_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int A_1))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.one_on1684967323de_int) A_1)) (= (= (tptp.hAPP_n522471361de_int _let_1 Ma) (tptp.hAPP_n522471361de_int _let_1 Na)) (= Ma Na))))) (forall ((Ma $$unsorted) (Na $$unsorted) (A_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral A_1))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.one_on1645066479umeral) A_1)) (= (= (tptp.hAPP_n1108039445umeral _let_1 Ma) (tptp.hAPP_n1108039445umeral _let_1 Na)) (= Ma Na))))) (forall ((Ma $$unsorted) (Na $$unsorted) (A_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real A_1))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real) A_1)) (= (= (tptp.hAPP_nat_real _let_1 Ma) (tptp.hAPP_nat_real _let_1 Na)) (= Ma Na))))) (forall ((Ma $$unsorted) (Na $$unsorted) (A_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_1))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.one_one_nat) A_1)) (= (= (tptp.hAPP_nat_nat _let_1 Ma) (tptp.hAPP_nat_nat _let_1 Na)) (= Ma Na))))) (forall ((Ma $$unsorted) (Na $$unsorted) (A_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_1))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) A_1)) (= (= (tptp.hAPP_nat_int _let_1 Ma) (tptp.hAPP_nat_int _let_1 Na)) (= Ma Na))))) (forall ((Xa $$unsorted) (Ya $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat B_1))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.one_one_rat) B_1)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_nat_rat _let_1 Xa)) (tptp.hAPP_nat_rat _let_1 Ya))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Xa) Ya)))))) (forall ((Xa $$unsorted) (Ya $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int B_1))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.one_on1684967323de_int) B_1)) (= (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_n522471361de_int _let_1 Xa)) (tptp.hAPP_n522471361de_int _let_1 Ya))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Xa) Ya)))))) (forall ((Xa $$unsorted) (Ya $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral B_1))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.one_on1645066479umeral) B_1)) (= (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral (tptp.hAPP_n1108039445umeral _let_1 Xa)) (tptp.hAPP_n1108039445umeral _let_1 Ya))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Xa) Ya)))))) (forall ((Xa $$unsorted) (Ya $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real B_1))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real) B_1)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real _let_1 Xa)) (tptp.hAPP_nat_real _let_1 Ya))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Xa) Ya)))))) (forall ((Xa $$unsorted) (Ya $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat B_1))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.one_one_nat) B_1)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 Xa)) (tptp.hAPP_nat_nat _let_1 Ya))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Xa) Ya)))))) (forall ((Xa $$unsorted) (Ya $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_nat_int tptp.power_power_int B_1))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) B_1)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int _let_1 Xa)) (tptp.hAPP_nat_int _let_1 Ya))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Xa) Ya)))))) (forall ((M_22 $$unsorted) (N_45 $$unsorted) (A_193 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_193))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.one_one_rat) A_193)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_nat_rat _let_1 M_22)) (tptp.hAPP_nat_rat _let_1 N_45))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_22) N_45)))))) (forall ((M_22 $$unsorted) (N_45 $$unsorted) (A_193 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int A_193))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.one_on1684967323de_int) A_193)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_n522471361de_int _let_1 M_22)) (tptp.hAPP_n522471361de_int _let_1 N_45))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_22) N_45)))))) (forall ((M_22 $$unsorted) (N_45 $$unsorted) (A_193 $$unsorted)) (let ((_let_1 (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral A_193))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.one_on1645066479umeral) A_193)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral (tptp.hAPP_n1108039445umeral _let_1 M_22)) (tptp.hAPP_n1108039445umeral _let_1 N_45))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_22) N_45)))))) (forall ((M_22 $$unsorted) (N_45 $$unsorted) (A_193 $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real A_193))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real) A_193)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real _let_1 M_22)) (tptp.hAPP_nat_real _let_1 N_45))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_22) N_45)))))) (forall ((M_22 $$unsorted) (N_45 $$unsorted) (A_193 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_193))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.one_one_nat) A_193)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 M_22)) (tptp.hAPP_nat_nat _let_1 N_45))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_22) N_45)))))) (forall ((M_22 $$unsorted) (N_45 $$unsorted) (A_193 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_193))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) A_193)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int _let_1 M_22)) (tptp.hAPP_nat_int _let_1 N_45))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_22) N_45)))))) (forall ((A_192 $$unsorted) (N_44 $$unsorted) (N_43 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_192))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_44) N_43)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.one_one_rat) A_192)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_nat_rat _let_1 N_44)) (tptp.hAPP_nat_rat _let_1 N_43))))))) (forall ((A_192 $$unsorted) (N_44 $$unsorted) (N_43 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int A_192))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_44) N_43)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.one_on1684967323de_int) A_192)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_n522471361de_int _let_1 N_44)) (tptp.hAPP_n522471361de_int _let_1 N_43))))))) (forall ((A_192 $$unsorted) (N_44 $$unsorted) (N_43 $$unsorted)) (let ((_let_1 (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral A_192))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_44) N_43)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.one_on1645066479umeral) A_192)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral (tptp.hAPP_n1108039445umeral _let_1 N_44)) (tptp.hAPP_n1108039445umeral _let_1 N_43))))))) (forall ((A_192 $$unsorted) (N_44 $$unsorted) (N_43 $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real A_192))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_44) N_43)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real) A_192)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real _let_1 N_44)) (tptp.hAPP_nat_real _let_1 N_43))))))) (forall ((A_192 $$unsorted) (N_44 $$unsorted) (N_43 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_192))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_44) N_43)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.one_one_nat) A_192)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 N_44)) (tptp.hAPP_nat_nat _let_1 N_43))))))) (forall ((A_192 $$unsorted) (N_44 $$unsorted) (N_43 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_192))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N_44) N_43)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) A_192)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int _let_1 N_44)) (tptp.hAPP_nat_int _let_1 N_43))))))) (forall ((A_1 $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_1) Na) tptp.zero_zero_rat) (and (= A_1 tptp.zero_zero_rat) (not (= Na tptp.zero_zero_nat))))) (forall ((A_1 $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int A_1) Na) tptp.zero_z891286103de_int) (and (= A_1 tptp.zero_z891286103de_int) (not (= Na tptp.zero_zero_nat))))) (forall ((A_1 $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex A_1) Na) tptp.zero_zero_complex) (and (= A_1 tptp.zero_zero_complex) (not (= Na tptp.zero_zero_nat))))) (forall ((A_1 $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral A_1) Na) tptp.zero_z126310315umeral) (and (= A_1 tptp.zero_z126310315umeral) (not (= Na tptp.zero_zero_nat))))) (forall ((A_1 $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_1) Na) tptp.zero_zero_real) (and (= A_1 tptp.zero_zero_real) (not (= Na tptp.zero_zero_nat))))) (forall ((A_1 $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_1) Na) tptp.zero_zero_nat) (and (= A_1 tptp.zero_zero_nat) (not (= Na tptp.zero_zero_nat))))) (forall ((A_1 $$unsorted) (Na $$unsorted)) (=> (tptp.is_int A_1) (= (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_1) Na) tptp.zero_zero_int) (and (= A_1 tptp.zero_zero_int) (not (= Na tptp.zero_zero_nat)))))) (forall ((M_21 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_nat_rat tptp.semiri151668891at_rat M_21)) tptp.zero_zero_rat)))) (forall ((M_21 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_n522471361de_int tptp.semiri1424489471de_int M_21)) tptp.zero_z891286103de_int)))) (forall ((M_21 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral (tptp.hAPP_n1108039445umeral tptp.semiri1619134803umeral M_21)) tptp.zero_z126310315umeral)))) (forall ((M_21 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real tptp.semiri132038758t_real M_21)) tptp.zero_zero_real)))) (forall ((M_21 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.semiri984289939at_nat M_21)) tptp.zero_zero_nat)))) (forall ((M_21 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int M_21)) tptp.zero_zero_int)))) (forall ((A_191 $$unsorted)) (= (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_191) tptp.zero_zero_nat) tptp.one_one_rat)) (forall ((A_191 $$unsorted)) (= (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int A_191) tptp.zero_zero_nat) tptp.one_on1684967323de_int)) (forall ((A_191 $$unsorted)) (= (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex A_191) tptp.zero_zero_nat) tptp.one_one_complex)) (forall ((A_191 $$unsorted)) (= (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral A_191) tptp.zero_zero_nat) tptp.one_on1645066479umeral)) (forall ((A_191 $$unsorted)) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_191) tptp.zero_zero_nat) tptp.one_one_real)) (forall ((A_191 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_191) tptp.zero_zero_nat) tptp.one_one_nat)) (forall ((A_191 $$unsorted)) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_191) tptp.zero_zero_nat) tptp.one_one_int)) (= (tptp.hAPP_nat_rat tptp.semiri151668891at_rat tptp.zero_zero_nat) tptp.zero_zero_rat) _let_150 (= (tptp.hAPP_nat_complex tptp.semiri2020571505omplex tptp.zero_zero_nat) tptp.zero_zero_complex) _let_148 (= (tptp.hAPP_nat_real tptp.semiri132038758t_real tptp.zero_zero_nat) tptp.zero_zero_real) (= (tptp.hAPP_nat_nat tptp.semiri984289939at_nat tptp.zero_zero_nat) tptp.zero_zero_nat) _let_146 (tptp.hBOOL (tptp.hAPP_nat_bool _let_124 _let_3)) (forall ((K_2 $$unsorted)) (=> (tptp.is_int K_2) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) K_2)) (exists ((N_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_1)) (= K_2 (tptp.hAPP_nat_int tptp.semiri1621563631at_int N_1))))))) (forall ((I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) J_2)) (exists ((K_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K_1)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I) K_1) J_2))))) (forall ((Xa $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat Xa) Na) tptp.one_one_nat) (or (= Xa tptp.one_one_nat) (= Na tptp.zero_zero_nat)))) (forall ((X_62 $$unsorted)) (= (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat X_62) tptp.zero_zero_nat) tptp.one_one_rat)) (forall ((X_62 $$unsorted)) (= (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int X_62) tptp.zero_zero_nat) tptp.one_on1684967323de_int)) (forall ((X_62 $$unsorted)) (= (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex X_62) tptp.zero_zero_nat) tptp.one_one_complex)) (forall ((X_62 $$unsorted)) (= (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral X_62) tptp.zero_zero_nat) tptp.one_on1645066479umeral)) (forall ((X_62 $$unsorted)) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X_62) tptp.zero_zero_nat) tptp.one_one_real)) (forall ((X_62 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat X_62) tptp.zero_zero_nat) tptp.one_one_nat)) (forall ((X_62 $$unsorted)) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X_62) tptp.zero_zero_nat) tptp.one_one_int)) (forall ((A_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat))) (= (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_1) A_1))) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 A_1))))) (forall ((A_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (= (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_1) A_1))) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_1))))) (forall ((A_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int))) (= (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_1) A_1))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_1))))) (forall ((A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_1) A_1)) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_1) tptp.zero_zero_rat)))) (forall ((A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_1) A_1)) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_1) tptp.zero_zero_real)))) (forall ((A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_1) A_1)) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) tptp.zero_zero_int)))) (forall ((B_133 $$unsorted) (A_190 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 A_190)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 B_133)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_190) B_133))))))) (forall ((B_133 $$unsorted) (A_190 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.zero_z891286103de_int))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 A_190)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 B_133)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_190) B_133))))))) (forall ((B_133 $$unsorted) (A_190 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_190)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 B_133)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_190) B_133))))))) (forall ((B_133 $$unsorted) (A_190 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_190)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_133)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_190) B_133))))))) (forall ((B_133 $$unsorted) (A_190 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_190)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_133)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_190) B_133))))))) (forall ((B_133 $$unsorted) (A_190 $$unsorted)) (let ((_let_1 (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.zero_z126310315umeral))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 A_190)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 B_133)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral A_190) B_133))))))) (forall ((B_132 $$unsorted) (A_189 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_189) tptp.zero_zero_rat)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat B_132) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_189) B_132)) tptp.zero_zero_rat))))) (forall ((B_132 $$unsorted) (A_189 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_189) tptp.zero_z891286103de_int)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int B_132) tptp.zero_z891286103de_int)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_189) B_132)) tptp.zero_z891286103de_int))))) (forall ((B_132 $$unsorted) (A_189 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_189) tptp.zero_zero_real)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real B_132) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_189) B_132)) tptp.zero_zero_real))))) (forall ((B_132 $$unsorted) (A_189 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_189) tptp.zero_zero_nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat B_132) tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_189) B_132)) tptp.zero_zero_nat))))) (forall ((B_132 $$unsorted) (A_189 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_189) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_132) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_189) B_132)) tptp.zero_zero_int))))) (forall ((B_132 $$unsorted) (A_189 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral A_189) tptp.zero_z126310315umeral)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral B_132) tptp.zero_z126310315umeral)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral A_189) B_132)) tptp.zero_z126310315umeral))))) (tptp.hBOOL (tptp.hAPP_int_bool _let_145 tptp.t)) (forall ((V_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.hAPP_int_nat tptp.number_number_of_nat V_1)))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int V_1) tptp.pls)))) (and (=> _let_2 (= _let_1 tptp.one_one_nat)) (=> (not _let_2) (= _let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.succ V_1)))))))) (forall ((Z_1 $$unsorted) (W $$unsorted)) (=> (and (tptp.is_int Z_1) (tptp.is_int W)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Z_1) W)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int W) Z_1)) (= Z_1 W))))) (forall ((K_2 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int I))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 J_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int J_2) K_2)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 K_2)))))) (forall ((Z_1 $$unsorted) (W $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Z_1) W)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int W) Z_1)))) (forall ((W $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int W) W))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_int_rat tptp.number_number_of_rat Xa)) (tptp.hAPP_int_rat tptp.number_number_of_rat Ya))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Xa) Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.number267125858f_real Xa)) (tptp.hAPP_int_real tptp.number267125858f_real Ya))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Xa) Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.number_number_of_int Xa)) (tptp.hAPP_int_int tptp.number_number_of_int Ya))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Xa) Ya)))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_nat_rat tptp.semiri151668891at_rat Ma)) (tptp.hAPP_nat_rat tptp.semiri151668891at_rat Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ma) Na)))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real tptp.semiri132038758t_real Ma)) (tptp.hAPP_nat_real tptp.semiri132038758t_real Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ma) Na)))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int Ma)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ma) Na)))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int (tptp.hAPP_n522471361de_int tptp.semiri1424489471de_int Ma)) (tptp.hAPP_n522471361de_int tptp.semiri1424489471de_int Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ma) Na)))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.semiri984289939at_nat Ma)) (tptp.hAPP_nat_nat tptp.semiri984289939at_nat Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ma) Na)))) (forall ((C_77 $$unsorted) (A_188 $$unsorted) (B_131 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat C_77))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat _let_1 A_188)) (tptp.hAPP_rat_rat _let_1 B_131))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_188) B_131))))) (forall ((C_77 $$unsorted) (A_188 $$unsorted) (B_131 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int C_77))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int (tptp.hAPP_Q1762011733de_int _let_1 A_188)) (tptp.hAPP_Q1762011733de_int _let_1 B_131))) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int A_188) B_131))))) (forall ((C_77 $$unsorted) (A_188 $$unsorted) (B_131 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.plus_plus_real C_77))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real _let_1 A_188)) (tptp.hAPP_real_real _let_1 B_131))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_188) B_131))))) (forall ((C_77 $$unsorted) (A_188 $$unsorted) (B_131 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_77))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 A_188)) (tptp.hAPP_nat_nat _let_1 B_131))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_188) B_131))))) (forall ((C_77 $$unsorted) (A_188 $$unsorted) (B_131 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int C_77))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int _let_1 A_188)) (tptp.hAPP_int_int _let_1 B_131))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_188) B_131))))) (forall ((A_187 $$unsorted) (C_76 $$unsorted) (B_130 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_187) C_76)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat B_130) C_76))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_187) B_130)))) (forall ((A_187 $$unsorted) (C_76 $$unsorted) (B_130 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_187) C_76)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int B_130) C_76))) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int A_187) B_130)))) (forall ((A_187 $$unsorted) (C_76 $$unsorted) (B_130 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_187) C_76)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real B_130) C_76))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_187) B_130)))) (forall ((A_187 $$unsorted) (C_76 $$unsorted) (B_130 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_187) C_76)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_130) C_76))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_187) B_130)))) (forall ((A_187 $$unsorted) (C_76 $$unsorted) (B_130 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_187) C_76)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_130) C_76))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_187) B_130)))) (forall ((C_75 $$unsorted) (D_22 $$unsorted) (A_186 $$unsorted) (B_129 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_186) B_129)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat C_75) D_22)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_186) C_75)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat B_129) D_22)))))) (forall ((C_75 $$unsorted) (D_22 $$unsorted) (A_186 $$unsorted) (B_129 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int A_186) B_129)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int C_75) D_22)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_186) C_75)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int B_129) D_22)))))) (forall ((C_75 $$unsorted) (D_22 $$unsorted) (A_186 $$unsorted) (B_129 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_186) B_129)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real C_75) D_22)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_186) C_75)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real B_129) D_22)))))) (forall ((C_75 $$unsorted) (D_22 $$unsorted) (A_186 $$unsorted) (B_129 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_186) B_129)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C_75) D_22)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_186) C_75)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_129) D_22)))))) (forall ((C_75 $$unsorted) (D_22 $$unsorted) (A_186 $$unsorted) (B_129 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_186) B_129)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int C_75) D_22)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_186) C_75)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_129) D_22)))))) (forall ((C_74 $$unsorted) (A_185 $$unsorted) (B_128 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat C_74))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_185) B_128)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat _let_1 A_185)) (tptp.hAPP_rat_rat _let_1 B_128)))))) (forall ((C_74 $$unsorted) (A_185 $$unsorted) (B_128 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int C_74))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int A_185) B_128)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int (tptp.hAPP_Q1762011733de_int _let_1 A_185)) (tptp.hAPP_Q1762011733de_int _let_1 B_128)))))) (forall ((C_74 $$unsorted) (A_185 $$unsorted) (B_128 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.plus_plus_real C_74))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_185) B_128)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real _let_1 A_185)) (tptp.hAPP_real_real _let_1 B_128)))))) (forall ((C_74 $$unsorted) (A_185 $$unsorted) (B_128 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_74))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_185) B_128)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 A_185)) (tptp.hAPP_nat_nat _let_1 B_128)))))) (forall ((C_74 $$unsorted) (A_185 $$unsorted) (B_128 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int C_74))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_185) B_128)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int _let_1 A_185)) (tptp.hAPP_int_int _let_1 B_128)))))) (forall ((C_73 $$unsorted) (A_184 $$unsorted) (B_127 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_184) B_127)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_184) C_73)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat B_127) C_73))))) (forall ((C_73 $$unsorted) (A_184 $$unsorted) (B_127 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int A_184) B_127)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_184) C_73)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int B_127) C_73))))) (forall ((C_73 $$unsorted) (A_184 $$unsorted) (B_127 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_184) B_127)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_184) C_73)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real B_127) C_73))))) (forall ((C_73 $$unsorted) (A_184 $$unsorted) (B_127 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_184) B_127)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_184) C_73)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_127) C_73))))) (forall ((C_73 $$unsorted) (A_184 $$unsorted) (B_127 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_184) B_127)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_184) C_73)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_127) C_73))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat C))) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat _let_1 A_1)) (tptp.hAPP_rat_rat _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_1) B_1))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int C))) (= (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int (tptp.hAPP_Q1762011733de_int _let_1 A_1)) (tptp.hAPP_Q1762011733de_int _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int A_1) B_1))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.plus_plus_real C))) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real _let_1 A_1)) (tptp.hAPP_real_real _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) B_1))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 A_1)) (tptp.hAPP_nat_nat _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_1) B_1))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int C))) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int _let_1 A_1)) (tptp.hAPP_int_int _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_1) B_1))))) (forall ((A_1 $$unsorted) (C $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_1) C)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat B_1) C))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_1) B_1)))) (forall ((A_1 $$unsorted) (C $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_1) C)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int B_1) C))) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int A_1) B_1)))) (forall ((A_1 $$unsorted) (C $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_1) C)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real B_1) C))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) B_1)))) (forall ((A_1 $$unsorted) (C $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_1) C)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_1) C))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_1) B_1)))) (forall ((A_1 $$unsorted) (C $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_1) C)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_1) C))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_1) B_1)))) (forall ((A_183 $$unsorted) (N_42 $$unsorted) (N_41 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_183))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_42) N_41)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.one_one_rat) A_183)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_nat_rat _let_1 N_42)) (tptp.hAPP_nat_rat _let_1 N_41))))))) (forall ((A_183 $$unsorted) (N_42 $$unsorted) (N_41 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int A_183))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_42) N_41)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.one_on1684967323de_int) A_183)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int (tptp.hAPP_n522471361de_int _let_1 N_42)) (tptp.hAPP_n522471361de_int _let_1 N_41))))))) (forall ((A_183 $$unsorted) (N_42 $$unsorted) (N_41 $$unsorted)) (let ((_let_1 (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral A_183))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_42) N_41)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.one_on1645066479umeral) A_183)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral (tptp.hAPP_n1108039445umeral _let_1 N_42)) (tptp.hAPP_n1108039445umeral _let_1 N_41))))))) (forall ((A_183 $$unsorted) (N_42 $$unsorted) (N_41 $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real A_183))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_42) N_41)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.one_one_real) A_183)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real _let_1 N_42)) (tptp.hAPP_nat_real _let_1 N_41))))))) (forall ((A_183 $$unsorted) (N_42 $$unsorted) (N_41 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_183))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_42) N_41)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.one_one_nat) A_183)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 N_42)) (tptp.hAPP_nat_nat _let_1 N_41))))))) (forall ((A_183 $$unsorted) (N_42 $$unsorted) (N_41 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_183))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_42) N_41)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.one_one_int) A_183)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int _let_1 N_42)) (tptp.hAPP_nat_int _let_1 N_41))))))) (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.bit1 K1)) (tptp.hAPP_int_int tptp.bit1 K2))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K1) K2)))) (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.bit1 K)) (tptp.hAPP_int_int tptp.bit1 L))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K) L)))) (tptp.hBOOL (tptp.hAPP_int_bool _let_138 tptp.pls)) (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.bit0 K1)) (tptp.hAPP_int_int tptp.bit0 K2))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K1) K2)))) (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.bit0 K)) (tptp.hAPP_int_int tptp.bit0 L))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K) L)))) (tptp.hBOOL (tptp.hAPP_int_bool _let_86 tptp.zero_zero_int)) (forall ((Z_2 $$unsorted) (Wa $$unsorted)) (=> (and (tptp.is_int Z_2) (tptp.is_int Wa)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Z_2) Wa)) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Z_2) Wa)) (not (= Z_2 Wa)))))) (forall ((K_2 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int K_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int I) J_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int _let_1 I)) (tptp.hAPP_int_int _let_1 J_2)))))) (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.number_number_of_int K)) (tptp.hAPP_int_int tptp.number_number_of_int L))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K) L)))) (forall ((B_126 $$unsorted) (A_182 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_182) tptp.zero_zero_rat)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat B_126) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_182) B_126)) tptp.zero_zero_rat))))) (forall ((B_126 $$unsorted) (A_182 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int A_182) tptp.zero_z891286103de_int)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int B_126) tptp.zero_z891286103de_int)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_182) B_126)) tptp.zero_z891286103de_int))))) (forall ((B_126 $$unsorted) (A_182 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_182) tptp.zero_zero_real)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real B_126) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_182) B_126)) tptp.zero_zero_real))))) (forall ((B_126 $$unsorted) (A_182 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_182) tptp.zero_zero_nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat B_126) tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_182) B_126)) tptp.zero_zero_nat))))) (forall ((B_126 $$unsorted) (A_182 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_182) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_126) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_182) B_126)) tptp.zero_zero_int))))) (forall ((B_126 $$unsorted) (A_182 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral A_182) tptp.zero_z126310315umeral)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral B_126) tptp.zero_z126310315umeral)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral A_182) B_126)) tptp.zero_z126310315umeral))))) (forall ((B_125 $$unsorted) (A_181 $$unsorted) (C_72 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat B_125))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C_72)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 A_181)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_181) C_72))))))) (forall ((B_125 $$unsorted) (A_181 $$unsorted) (C_72 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int B_125))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) C_72)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 A_181)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_181) C_72))))))) (forall ((B_125 $$unsorted) (A_181 $$unsorted) (C_72 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real B_125))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C_72)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_181)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_181) C_72))))))) (forall ((B_125 $$unsorted) (A_181 $$unsorted) (C_72 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat B_125))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C_72)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_181)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_181) C_72))))))) (forall ((B_125 $$unsorted) (A_181 $$unsorted) (C_72 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_125))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) C_72)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_181)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_181) C_72))))))) (forall ((B_125 $$unsorted) (A_181 $$unsorted) (C_72 $$unsorted)) (let ((_let_1 (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral B_125))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) C_72)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 A_181)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral A_181) C_72))))))) (forall ((B_124 $$unsorted) (C_71 $$unsorted) (A_180 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat B_124))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A_180)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 C_71)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_180) C_71))))))) (forall ((B_124 $$unsorted) (C_71 $$unsorted) (A_180 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int B_124))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) A_180)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 C_71)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_180) C_71))))))) (forall ((B_124 $$unsorted) (C_71 $$unsorted) (A_180 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real B_124))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A_180)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 C_71)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_180) C_71))))))) (forall ((B_124 $$unsorted) (C_71 $$unsorted) (A_180 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat B_124))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A_180)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 C_71)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_180) C_71))))))) (forall ((B_124 $$unsorted) (C_71 $$unsorted) (A_180 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_124))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) A_180)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 C_71)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_180) C_71))))))) (forall ((B_124 $$unsorted) (C_71 $$unsorted) (A_180 $$unsorted)) (let ((_let_1 (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral B_124))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) A_180)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 C_71)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral A_180) C_71))))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 Xa)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 Ya)) (= (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat Xa) Ya) tptp.zero_zero_rat) (and (= Xa tptp.zero_zero_rat) (= Ya tptp.zero_zero_rat))))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 Xa)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 Ya)) (= (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int Xa) Ya) tptp.zero_z891286103de_int) (and (= Xa tptp.zero_z891286103de_int) (= Ya tptp.zero_z891286103de_int))))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Xa)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Ya)) (= (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real Xa) Ya) tptp.zero_zero_real) (and (= Xa tptp.zero_zero_real) (= Ya tptp.zero_zero_real))))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Xa)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Ya)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Xa) Ya) tptp.zero_zero_nat) (and (= Xa tptp.zero_zero_nat) (= Ya tptp.zero_zero_nat))))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (and (tptp.is_int Ya) (tptp.is_int Xa)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Xa)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Ya)) (= (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Xa) Ya) tptp.zero_zero_int) (and (= Xa tptp.zero_zero_int) (= Ya tptp.zero_zero_int)))))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 Xa)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 Ya)) (= (= (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral Xa) Ya) tptp.zero_z126310315umeral) (and (= Xa tptp.zero_z126310315umeral) (= Ya tptp.zero_z126310315umeral))))))) (forall ((B_123 $$unsorted) (A_179 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 A_179)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 B_123)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_179) B_123))))))) (forall ((B_123 $$unsorted) (A_179 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 A_179)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 B_123)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_179) B_123))))))) (forall ((B_123 $$unsorted) (A_179 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_179)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 B_123)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_179) B_123))))))) (forall ((B_123 $$unsorted) (A_179 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_179)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_123)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_179) B_123))))))) (forall ((B_123 $$unsorted) (A_179 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_179)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_123)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_179) B_123))))))) (forall ((B_123 $$unsorted) (A_179 $$unsorted)) (let ((_let_1 (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 A_179)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 B_123)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral A_179) B_123))))))) (forall ((A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_1) A_1)) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_1) tptp.zero_zero_rat)))) (forall ((A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_1) A_1)) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) tptp.zero_zero_real)))) (forall ((A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_1) A_1)) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_1) tptp.zero_zero_int)))) (forall ((A_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat))) (= (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_1) A_1))) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 A_1))))) (forall ((A_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (= (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_1) A_1))) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_1))))) (forall ((A_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (= (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_1) A_1))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_1))))) (forall ((C_70 $$unsorted) (D_21 $$unsorted) (A_178 $$unsorted) (B_122 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_178) B_122)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat C_70) D_21)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_178) C_70)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat B_122) D_21)))))) (forall ((C_70 $$unsorted) (D_21 $$unsorted) (A_178 $$unsorted) (B_122 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int A_178) B_122)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int C_70) D_21)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_178) C_70)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int B_122) D_21)))))) (forall ((C_70 $$unsorted) (D_21 $$unsorted) (A_178 $$unsorted) (B_122 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_178) B_122)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real C_70) D_21)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_178) C_70)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real B_122) D_21)))))) (forall ((C_70 $$unsorted) (D_21 $$unsorted) (A_178 $$unsorted) (B_122 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_178) B_122)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat C_70) D_21)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_178) C_70)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_122) D_21)))))) (forall ((C_70 $$unsorted) (D_21 $$unsorted) (A_178 $$unsorted) (B_122 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_178) B_122)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int C_70) D_21)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_178) C_70)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_122) D_21)))))) (forall ((C_69 $$unsorted) (D_20 $$unsorted) (A_177 $$unsorted) (B_121 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_177) B_121)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat C_69) D_20)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_177) C_69)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat B_121) D_20)))))) (forall ((C_69 $$unsorted) (D_20 $$unsorted) (A_177 $$unsorted) (B_121 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_177) B_121)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int C_69) D_20)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_177) C_69)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int B_121) D_20)))))) (forall ((C_69 $$unsorted) (D_20 $$unsorted) (A_177 $$unsorted) (B_121 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_177) B_121)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real C_69) D_20)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_177) C_69)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real B_121) D_20)))))) (forall ((C_69 $$unsorted) (D_20 $$unsorted) (A_177 $$unsorted) (B_121 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_177) B_121)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C_69) D_20)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_177) C_69)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_121) D_20)))))) (forall ((C_69 $$unsorted) (D_20 $$unsorted) (A_177 $$unsorted) (B_121 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_177) B_121)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int C_69) D_20)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_177) C_69)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_121) D_20)))))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_int_rat tptp.number_number_of_rat Xa)) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Xa) tptp.pls)))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.number267125858f_real Xa)) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Xa) tptp.pls)))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.number_number_of_int Xa)) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Xa) tptp.pls)))) (forall ((Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.hAPP_int_rat tptp.number_number_of_rat Ya))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls) Ya)))) (forall ((Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_int_real tptp.number267125858f_real Ya))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls) Ya)))) (forall ((Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_int_int tptp.number_number_of_int Ya))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls) Ya)))) (forall ((A_176 $$unsorted) (N_40 $$unsorted) (N_39 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_176))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_40) N_39)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A_176)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_176) tptp.one_one_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_nat_rat _let_1 N_39)) (tptp.hAPP_nat_rat _let_1 N_40)))))))) (forall ((A_176 $$unsorted) (N_40 $$unsorted) (N_39 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int A_176))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_40) N_39)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) A_176)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int A_176) tptp.one_on1684967323de_int)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int (tptp.hAPP_n522471361de_int _let_1 N_39)) (tptp.hAPP_n522471361de_int _let_1 N_40)))))))) (forall ((A_176 $$unsorted) (N_40 $$unsorted) (N_39 $$unsorted)) (let ((_let_1 (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral A_176))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_40) N_39)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) A_176)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral A_176) tptp.one_on1645066479umeral)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral (tptp.hAPP_n1108039445umeral _let_1 N_39)) (tptp.hAPP_n1108039445umeral _let_1 N_40)))))))) (forall ((A_176 $$unsorted) (N_40 $$unsorted) (N_39 $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real A_176))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_40) N_39)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A_176)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_176) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real _let_1 N_39)) (tptp.hAPP_nat_real _let_1 N_40)))))))) (forall ((A_176 $$unsorted) (N_40 $$unsorted) (N_39 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_176))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_40) N_39)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A_176)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_176) tptp.one_one_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 N_39)) (tptp.hAPP_nat_nat _let_1 N_40)))))))) (forall ((A_176 $$unsorted) (N_40 $$unsorted) (N_39 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_176))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_40) N_39)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) A_176)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_176) tptp.one_one_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int _let_1 N_39)) (tptp.hAPP_nat_int _let_1 N_40)))))))) (forall ((M_20 $$unsorted) (N_38 $$unsorted) (A_175 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_175))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.one_one_rat) A_175)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_nat_rat _let_1 M_20)) (tptp.hAPP_nat_rat _let_1 N_38))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_20) N_38)))))) (forall ((M_20 $$unsorted) (N_38 $$unsorted) (A_175 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int A_175))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.one_on1684967323de_int) A_175)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int (tptp.hAPP_n522471361de_int _let_1 M_20)) (tptp.hAPP_n522471361de_int _let_1 N_38))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_20) N_38)))))) (forall ((M_20 $$unsorted) (N_38 $$unsorted) (A_175 $$unsorted)) (let ((_let_1 (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral A_175))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.one_on1645066479umeral) A_175)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral (tptp.hAPP_n1108039445umeral _let_1 M_20)) (tptp.hAPP_n1108039445umeral _let_1 N_38))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_20) N_38)))))) (forall ((M_20 $$unsorted) (N_38 $$unsorted) (A_175 $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real A_175))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real) A_175)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real _let_1 M_20)) (tptp.hAPP_nat_real _let_1 N_38))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_20) N_38)))))) (forall ((M_20 $$unsorted) (N_38 $$unsorted) (A_175 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_175))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.one_one_nat) A_175)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 M_20)) (tptp.hAPP_nat_nat _let_1 N_38))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_20) N_38)))))) (forall ((M_20 $$unsorted) (N_38 $$unsorted) (A_175 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_175))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) A_175)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int _let_1 M_20)) (tptp.hAPP_nat_int _let_1 N_38))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_20) N_38)))))) (forall ((Xa $$unsorted) (Ya $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat B_1))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.one_one_rat) B_1)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_nat_rat _let_1 Xa)) (tptp.hAPP_nat_rat _let_1 Ya))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Xa) Ya)))))) (forall ((Xa $$unsorted) (Ya $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int B_1))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.one_on1684967323de_int) B_1)) (= (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int (tptp.hAPP_n522471361de_int _let_1 Xa)) (tptp.hAPP_n522471361de_int _let_1 Ya))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Xa) Ya)))))) (forall ((Xa $$unsorted) (Ya $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral B_1))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.one_on1645066479umeral) B_1)) (= (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral (tptp.hAPP_n1108039445umeral _let_1 Xa)) (tptp.hAPP_n1108039445umeral _let_1 Ya))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Xa) Ya)))))) (forall ((Xa $$unsorted) (Ya $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real B_1))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real) B_1)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real _let_1 Xa)) (tptp.hAPP_nat_real _let_1 Ya))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Xa) Ya)))))) (forall ((Xa $$unsorted) (Ya $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat B_1))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.one_one_nat) B_1)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 Xa)) (tptp.hAPP_nat_nat _let_1 Ya))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Xa) Ya)))))) (forall ((Xa $$unsorted) (Ya $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_nat_int tptp.power_power_int B_1))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) B_1)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int _let_1 Xa)) (tptp.hAPP_nat_int _let_1 Ya))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Xa) Ya)))))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_int_rat tptp.number_number_of_rat Xa)) tptp.one_one_rat)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Xa) (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.number267125858f_real Xa)) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Xa) (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.number_number_of_int Xa)) tptp.one_one_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Xa) (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (forall ((Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.hAPP_int_rat tptp.number_number_of_rat Ya))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.bit1 tptp.pls)) Ya)))) (forall ((Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.hAPP_int_real tptp.number267125858f_real Ya))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.bit1 tptp.pls)) Ya)))) (forall ((Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.hAPP_int_int tptp.number_number_of_int Ya))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.bit1 tptp.pls)) Ya)))) (forall ((B_120 $$unsorted) (A_174 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_174) tptp.zero_zero_rat)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat B_120) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_174) B_120)) tptp.zero_zero_rat))))) (forall ((B_120 $$unsorted) (A_174 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int A_174) tptp.zero_z891286103de_int)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int B_120) tptp.zero_z891286103de_int)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_174) B_120)) tptp.zero_z891286103de_int))))) (forall ((B_120 $$unsorted) (A_174 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_174) tptp.zero_zero_real)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real B_120) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_174) B_120)) tptp.zero_zero_real))))) (forall ((B_120 $$unsorted) (A_174 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_174) tptp.zero_zero_nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat B_120) tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_174) B_120)) tptp.zero_zero_nat))))) (forall ((B_120 $$unsorted) (A_174 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_174) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_120) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_174) B_120)) tptp.zero_zero_int))))) (forall ((B_120 $$unsorted) (A_174 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral A_174) tptp.zero_z126310315umeral)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral B_120) tptp.zero_z126310315umeral)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral A_174) B_120)) tptp.zero_z126310315umeral))))) (forall ((B_119 $$unsorted) (A_173 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_173) tptp.zero_zero_rat)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat B_119) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_173) B_119)) tptp.zero_zero_rat))))) (forall ((B_119 $$unsorted) (A_173 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_173) tptp.zero_z891286103de_int)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int B_119) tptp.zero_z891286103de_int)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_173) B_119)) tptp.zero_z891286103de_int))))) (forall ((B_119 $$unsorted) (A_173 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_173) tptp.zero_zero_real)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real B_119) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_173) B_119)) tptp.zero_zero_real))))) (forall ((B_119 $$unsorted) (A_173 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_173) tptp.zero_zero_nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat B_119) tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_173) B_119)) tptp.zero_zero_nat))))) (forall ((B_119 $$unsorted) (A_173 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_173) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_119) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_173) B_119)) tptp.zero_zero_int))))) (forall ((B_119 $$unsorted) (A_173 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral A_173) tptp.zero_z126310315umeral)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral B_119) tptp.zero_z126310315umeral)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral A_173) B_119)) tptp.zero_z126310315umeral))))) (forall ((B_118 $$unsorted) (C_68 $$unsorted) (A_172 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat B_118))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A_172)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 C_68)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_172) C_68))))))) (forall ((B_118 $$unsorted) (C_68 $$unsorted) (A_172 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int B_118))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) A_172)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 C_68)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_172) C_68))))))) (forall ((B_118 $$unsorted) (C_68 $$unsorted) (A_172 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real B_118))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A_172)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 C_68)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_172) C_68))))))) (forall ((B_118 $$unsorted) (C_68 $$unsorted) (A_172 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat B_118))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A_172)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 C_68)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_172) C_68))))))) (forall ((B_118 $$unsorted) (C_68 $$unsorted) (A_172 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_118))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) A_172)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 C_68)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_172) C_68))))))) (forall ((B_118 $$unsorted) (C_68 $$unsorted) (A_172 $$unsorted)) (let ((_let_1 (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral B_118))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) A_172)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 C_68)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral A_172) C_68))))))) (forall ((B_117 $$unsorted) (C_67 $$unsorted) (A_171 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) A_171)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat B_117) C_67)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat B_117) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_171) C_67)))))) (forall ((B_117 $$unsorted) (C_67 $$unsorted) (A_171 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.zero_z891286103de_int) A_171)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int B_117) C_67)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int B_117) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_171) C_67)))))) (forall ((B_117 $$unsorted) (C_67 $$unsorted) (A_171 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) A_171)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real B_117) C_67)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real B_117) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_171) C_67)))))) (forall ((B_117 $$unsorted) (C_67 $$unsorted) (A_171 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) A_171)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat B_117) C_67)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat B_117) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_171) C_67)))))) (forall ((B_117 $$unsorted) (C_67 $$unsorted) (A_171 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) A_171)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_117) C_67)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_117) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_171) C_67)))))) (forall ((B_117 $$unsorted) (C_67 $$unsorted) (A_171 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.zero_z126310315umeral) A_171)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral B_117) C_67)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral B_117) (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral A_171) C_67)))))) (forall ((B_116 $$unsorted) (A_170 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A_170)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 B_116)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_170) B_116))))))) (forall ((B_116 $$unsorted) (A_170 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.zero_z891286103de_int))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) A_170)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 B_116)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_170) B_116))))))) (forall ((B_116 $$unsorted) (A_170 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A_170)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 B_116)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_170) B_116))))))) (forall ((B_116 $$unsorted) (A_170 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A_170)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_116)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_170) B_116))))))) (forall ((B_116 $$unsorted) (A_170 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) A_170)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_116)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_170) B_116))))))) (forall ((B_116 $$unsorted) (A_170 $$unsorted)) (let ((_let_1 (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.zero_z126310315umeral))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) A_170)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 B_116)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral A_170) B_116))))))) (forall ((B_115 $$unsorted) (A_169 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 A_169)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B_115)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_169) B_115))))))) (forall ((B_115 $$unsorted) (A_169 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.zero_z891286103de_int))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 A_169)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) B_115)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_169) B_115))))))) (forall ((B_115 $$unsorted) (A_169 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_169)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B_115)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_169) B_115))))))) (forall ((B_115 $$unsorted) (A_169 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_169)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B_115)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_169) B_115))))))) (forall ((B_115 $$unsorted) (A_169 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_169)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) B_115)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_169) B_115))))))) (forall ((B_115 $$unsorted) (A_169 $$unsorted)) (let ((_let_1 (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.zero_z126310315umeral))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 A_169)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) B_115)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral A_169) B_115))))))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) tptp.one_one_rat)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) tptp.one_on1684967323de_int)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) tptp.one_on1645066479umeral)) (tptp.hBOOL (tptp.hAPP_real_bool _let_29 tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) tptp.one_one_nat)) _let_144 (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.one_one_rat) tptp.zero_zero_rat))) (not (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.one_on1684967323de_int) tptp.zero_z891286103de_int))) (not (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.one_on1645066479umeral) tptp.zero_z126310315umeral))) (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.one_one_real) tptp.zero_zero_real))) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.one_one_nat) tptp.zero_zero_nat))) (not (tptp.hBOOL (tptp.hAPP_int_bool _let_145 tptp.zero_zero_int))) (forall ((Va $$unsorted) (Wa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_rat tptp.number_number_of_rat Va))) (let ((_let_2 (tptp.hAPP_int_rat tptp.number_number_of_rat Wa))) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat _let_1) _let_2)) (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat _let_2) _let_1))))))) (forall ((Va $$unsorted) (Wa $$unsorted)) (let ((_let_1 (tptp.hAPP_i1732201573de_int tptp.number1226105091de_int Va))) (let ((_let_2 (tptp.hAPP_i1732201573de_int tptp.number1226105091de_int Wa))) (= (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int _let_1) _let_2)) (not (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int _let_2) _let_1))))))) (forall ((Va $$unsorted) (Wa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_real tptp.number267125858f_real Va))) (let ((_let_2 (tptp.hAPP_int_real tptp.number267125858f_real Wa))) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real _let_1) _let_2)) (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real _let_2) _let_1))))))) (forall ((Va $$unsorted) (Wa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat Va))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat Wa))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat _let_1) _let_2)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat _let_2) _let_1))))))) (forall ((Va $$unsorted) (Wa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int Va))) (let ((_let_2 (tptp.hAPP_int_int tptp.number_number_of_int Wa))) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int _let_1) _let_2)) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int _let_2) _let_1))))))) (forall ((Va $$unsorted) (Wa $$unsorted)) (let ((_let_1 (tptp.hAPP_i769753017umeral tptp.number1443263063umeral Va))) (let ((_let_2 (tptp.hAPP_i769753017umeral tptp.number1443263063umeral Wa))) (= (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral _let_1) _let_2)) (not (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral _let_2) _let_1))))))) (forall ((N_37 $$unsorted) (A_168 $$unsorted) (B_114 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_168) B_114)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A_168)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_168) N_37)) (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat B_114) N_37)))))) (forall ((N_37 $$unsorted) (A_168 $$unsorted) (B_114 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int A_168) B_114)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) A_168)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int A_168) N_37)) (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int B_114) N_37)))))) (forall ((N_37 $$unsorted) (A_168 $$unsorted) (B_114 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral A_168) B_114)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) A_168)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral A_168) N_37)) (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral B_114) N_37)))))) (forall ((N_37 $$unsorted) (A_168 $$unsorted) (B_114 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_168) B_114)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A_168)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_168) N_37)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real B_114) N_37)))))) (forall ((N_37 $$unsorted) (A_168 $$unsorted) (B_114 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_168) B_114)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A_168)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_168) N_37)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat B_114) N_37)))))) (forall ((N_37 $$unsorted) (A_168 $$unsorted) (B_114 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_168) B_114)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) A_168)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_168) N_37)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int B_114) N_37)))))) (forall ((N_36 $$unsorted) (A_167 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 A_167)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_167) N_36)))))) (forall ((N_36 $$unsorted) (A_167 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 A_167)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int A_167) N_36)))))) (forall ((N_36 $$unsorted) (A_167 $$unsorted)) (let ((_let_1 (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 A_167)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral A_167) N_36)))))) (forall ((N_36 $$unsorted) (A_167 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_167)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_167) N_36)))))) (forall ((N_36 $$unsorted) (A_167 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_167)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_167) N_36)))))) (forall ((N_36 $$unsorted) (A_167 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_167)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_167) N_36)))))) (forall ((N_35 $$unsorted) (A_166 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.one_one_rat))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 A_166)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_166) N_35)))))) (forall ((N_35 $$unsorted) (A_166 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.one_on1684967323de_int))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 A_166)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int A_166) N_35)))))) (forall ((N_35 $$unsorted) (A_166 $$unsorted)) (let ((_let_1 (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.one_on1645066479umeral))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 A_166)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral A_166) N_35)))))) (forall ((N_35 $$unsorted) (A_166 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.one_one_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_166)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_166) N_35)))))) (forall ((N_35 $$unsorted) (A_166 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.one_one_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_166)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_166) N_35)))))) (forall ((N_35 $$unsorted) (A_166 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.one_one_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_166)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_166) N_35)))))) (forall ((N_34 $$unsorted)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.hAPP_nat_rat tptp.semiri151668891at_rat N_34)))) (forall ((N_34 $$unsorted)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) (tptp.hAPP_n522471361de_int tptp.semiri1424489471de_int N_34)))) (forall ((N_34 $$unsorted)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) (tptp.hAPP_n1108039445umeral tptp.semiri1619134803umeral N_34)))) (forall ((N_34 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_nat_real tptp.semiri132038758t_real N_34)))) (forall ((N_34 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.hAPP_nat_nat tptp.semiri984289939at_nat N_34)))) (forall ((N_34 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_nat_int tptp.semiri1621563631at_int N_34)))) (forall ((M_19 $$unsorted)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.hAPP_nat_rat tptp.semiri151668891at_rat M_19)))) (forall ((M_19 $$unsorted)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) (tptp.hAPP_n522471361de_int tptp.semiri1424489471de_int M_19)))) (forall ((M_19 $$unsorted)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) (tptp.hAPP_n1108039445umeral tptp.semiri1619134803umeral M_19)))) (forall ((M_19 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_nat_real tptp.semiri132038758t_real M_19)))) (forall ((M_19 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.hAPP_nat_nat tptp.semiri984289939at_nat M_19)))) (forall ((M_19 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_nat_int tptp.semiri1621563631at_int M_19)))) (forall ((K $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls))) (= (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int tptp.bit1 K))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 K))))) (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.bit0 K1)) (tptp.hAPP_int_int tptp.bit1 K2))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K1) K2)))) (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.bit0 K)) (tptp.hAPP_int_int tptp.bit1 L))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K) L)))) (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.bit0 K)) tptp.pls)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K) tptp.pls)))) (forall ((K $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls))) (= (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int tptp.bit0 K))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 K))))) _let_144 (forall ((Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Y)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X) Y))))))) (forall ((Z_4 $$unsorted) (Z_1 $$unsorted) (W_9 $$unsorted) (W $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int W_9) W)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Z_4) Z_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int W_9) Z_4)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int W) Z_1)))))) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_nat_int tptp.semiri1621563631at_int N)))) (forall ((P_1 $$unsorted)) (= (forall ((X_1 $$unsorted)) (=> (tptp.is_int X_1) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X_1)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 X_1))))) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_nat_int tptp.semiri1621563631at_int X_1)))))) (forall ((P_1 $$unsorted)) (= (exists ((X_1 $$unsorted)) (and (tptp.is_int X_1) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X_1)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 X_1)))) (exists ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_nat_int tptp.semiri1621563631at_int X_1)))))) (forall ((Z_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Z_1)))) (forall ((N $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X) N)))))) (forall ((Wa $$unsorted) (Z_2 $$unsorted)) (=> (tptp.is_int Z_2) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Wa) Z_2)) (exists ((N_1 $$unsorted)) (= Z_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Wa) (tptp.hAPP_nat_int tptp.semiri1621563631at_int N_1))))))) (forall ((V_21 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls) V_21)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_int_rat tptp.number_number_of_rat V_21)) tptp.one_one_rat) (tptp.hAPP_int_rat tptp.number_number_of_rat (tptp.hAPP_int_int tptp.succ V_21))))) (forall ((V_21 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls) V_21)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_int_complex tptp.number528085621omplex V_21)) tptp.one_one_complex) (tptp.hAPP_int_complex tptp.number528085621omplex (tptp.hAPP_int_int tptp.succ V_21))))) (forall ((V_21 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls) V_21)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_int_real tptp.number267125858f_real V_21)) tptp.one_one_real) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.succ V_21))))) (forall ((V_21 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls) V_21)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_int_nat tptp.number_number_of_nat V_21)) tptp.one_one_nat) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.succ V_21))))) (forall ((V_21 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls) V_21)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.number_number_of_int V_21)) tptp.one_one_int) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.succ V_21))))) (forall ((V_20 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls) V_20)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) (tptp.hAPP_int_rat tptp.number_number_of_rat V_20)) (tptp.hAPP_int_rat tptp.number_number_of_rat (tptp.hAPP_int_int tptp.succ V_20))))) (forall ((V_20 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls) V_20)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex tptp.one_one_complex) (tptp.hAPP_int_complex tptp.number528085621omplex V_20)) (tptp.hAPP_int_complex tptp.number528085621omplex (tptp.hAPP_int_int tptp.succ V_20))))) (forall ((V_20 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls) V_20)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.one_one_real) (tptp.hAPP_int_real tptp.number267125858f_real V_20)) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.succ V_20))))) (forall ((V_20 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls) V_20)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.hAPP_int_nat tptp.number_number_of_nat V_20)) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.succ V_20))))) (forall ((V_20 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls) V_20)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.hAPP_int_int tptp.number_number_of_int V_20)) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.succ V_20))))) (forall ((A_165 $$unsorted) (N_33 $$unsorted) (B_113 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_165) N_33)) (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat B_113) N_33))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B_113)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_165) B_113))))) (forall ((A_165 $$unsorted) (N_33 $$unsorted) (B_113 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int A_165) N_33)) (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int B_113) N_33))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) B_113)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_165) B_113))))) (forall ((A_165 $$unsorted) (N_33 $$unsorted) (B_113 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral A_165) N_33)) (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral B_113) N_33))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) B_113)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral A_165) B_113))))) (forall ((A_165 $$unsorted) (N_33 $$unsorted) (B_113 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_165) N_33)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real B_113) N_33))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B_113)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_165) B_113))))) (forall ((A_165 $$unsorted) (N_33 $$unsorted) (B_113 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_165) N_33)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat B_113) N_33))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B_113)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_165) B_113))))) (forall ((A_165 $$unsorted) (N_33 $$unsorted) (B_113 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_165) N_33)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int B_113) N_33))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) B_113)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_165) B_113))))) (forall ((Va $$unsorted)) (= (= (tptp.hAPP_int_nat tptp.number_number_of_nat Va) tptp.zero_zero_nat) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Va) tptp.pls)))) (forall ((Va $$unsorted)) (= (= tptp.zero_zero_nat (tptp.hAPP_int_nat tptp.number_number_of_nat Va)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Va) tptp.pls)))) (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.bit1 K)) tptp.pls)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) tptp.pls)))) (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.pls) (tptp.hAPP_int_int tptp.bit1 K))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls) K)))) (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.bit1 K1)) (tptp.hAPP_int_int tptp.bit0 K2))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K1) K2)))) (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.bit1 K)) (tptp.hAPP_int_int tptp.bit0 L))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) L)))) (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.bit0 K1)) (tptp.hAPP_int_int tptp.bit1 K2))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K1) K2)))) (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.bit0 K)) (tptp.hAPP_int_int tptp.bit1 L))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K) L)))) (forall ((Xa $$unsorted)) (= (= tptp.zero_zero_rat Xa) (= Xa tptp.zero_zero_rat))) (forall ((Xa $$unsorted)) (= (= tptp.zero_z891286103de_int Xa) (= Xa tptp.zero_z891286103de_int))) (forall ((Xa $$unsorted)) (= (= tptp.zero_zero_complex Xa) (= Xa tptp.zero_zero_complex))) (forall ((Xa $$unsorted)) (= (= tptp.zero_z126310315umeral Xa) (= Xa tptp.zero_z126310315umeral))) (forall ((Xa $$unsorted)) (= (= tptp.zero_zero_real Xa) (= Xa tptp.zero_zero_real))) (forall ((Xa $$unsorted)) (= (= tptp.zero_zero_nat Xa) (= Xa tptp.zero_zero_nat))) (forall ((Xa $$unsorted)) (=> (tptp.is_int Xa) (= (= tptp.zero_zero_int Xa) (= Xa tptp.zero_zero_int)))) (forall ((Z_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.one_one_int) Z_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) Z_2)))) (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int Na)) tptp.zero_zero_int)) (= Na tptp.zero_zero_nat))) (= (tptp.hAPP_int_int tptp.succ tptp.pls) _let_1) (forall ((K_2 $$unsorted)) (= (tptp.hAPP_int_int tptp.succ (tptp.hAPP_int_int tptp.bit1 K_2)) (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.succ K_2)))) (forall ((K_2 $$unsorted)) (= (tptp.hAPP_int_int tptp.succ (tptp.hAPP_int_int tptp.bit0 K_2)) (tptp.hAPP_int_int tptp.bit1 K_2))) (forall ((W $$unsorted) (Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int W) Z_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int W) tptp.one_one_int)) Z_1)))) (forall ((Wa $$unsorted) (Z_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Wa) tptp.one_one_int)) Z_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Wa) Z_2)))) (forall ((Wa $$unsorted) (Z_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Wa) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Z_2) tptp.one_one_int))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Wa) Z_2)))) (forall ((B_112 $$unsorted) (A_164 $$unsorted) (C_66 $$unsorted)) (=> (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat B_112) A_164) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat C_66) A_164)) (= B_112 C_66))) (forall ((B_112 $$unsorted) (A_164 $$unsorted) (C_66 $$unsorted)) (=> (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int B_112) A_164) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int C_66) A_164)) (= B_112 C_66))) (forall ((B_112 $$unsorted) (A_164 $$unsorted) (C_66 $$unsorted)) (=> (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex B_112) A_164) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex C_66) A_164)) (= B_112 C_66))) (forall ((B_112 $$unsorted) (A_164 $$unsorted) (C_66 $$unsorted)) (=> (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real B_112) A_164) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real C_66) A_164)) (= B_112 C_66))) (forall ((B_112 $$unsorted) (A_164 $$unsorted) (C_66 $$unsorted)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_112) A_164) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_66) A_164)) (= B_112 C_66))) (forall ((B_112 $$unsorted) (A_164 $$unsorted) (C_66 $$unsorted)) (=> (and (tptp.is_int B_112) (tptp.is_int C_66)) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_112) A_164) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int C_66) A_164)) (= B_112 C_66)))) (forall ((A_163 $$unsorted) (B_111 $$unsorted) (C_65 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_163))) (=> (= (tptp.hAPP_rat_rat _let_1 B_111) (tptp.hAPP_rat_rat _let_1 C_65)) (= B_111 C_65)))) (forall ((A_163 $$unsorted) (B_111 $$unsorted) (C_65 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_163))) (=> (= (tptp.hAPP_Q1762011733de_int _let_1 B_111) (tptp.hAPP_Q1762011733de_int _let_1 C_65)) (= B_111 C_65)))) (forall ((A_163 $$unsorted) (B_111 $$unsorted) (C_65 $$unsorted)) (let ((_let_1 (tptp.hAPP_c172932010omplex tptp.plus_plus_complex A_163))) (=> (= (tptp.hAPP_complex_complex _let_1 B_111) (tptp.hAPP_complex_complex _let_1 C_65)) (= B_111 C_65)))) (forall ((A_163 $$unsorted) (B_111 $$unsorted) (C_65 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_163))) (=> (= (tptp.hAPP_real_real _let_1 B_111) (tptp.hAPP_real_real _let_1 C_65)) (= B_111 C_65)))) (forall ((A_163 $$unsorted) (B_111 $$unsorted) (C_65 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_163))) (=> (= (tptp.hAPP_nat_nat _let_1 B_111) (tptp.hAPP_nat_nat _let_1 C_65)) (= B_111 C_65)))) (forall ((A_163 $$unsorted) (B_111 $$unsorted) (C_65 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_163))) (=> (and (tptp.is_int B_111) (tptp.is_int C_65)) (=> (= (tptp.hAPP_int_int _let_1 B_111) (tptp.hAPP_int_int _let_1 C_65)) (= B_111 C_65))))) (forall ((A_162 $$unsorted) (B_110 $$unsorted) (C_64 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_162))) (=> (= (tptp.hAPP_rat_rat _let_1 B_110) (tptp.hAPP_rat_rat _let_1 C_64)) (= B_110 C_64)))) (forall ((A_162 $$unsorted) (B_110 $$unsorted) (C_64 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_162))) (=> (= (tptp.hAPP_Q1762011733de_int _let_1 B_110) (tptp.hAPP_Q1762011733de_int _let_1 C_64)) (= B_110 C_64)))) (forall ((A_162 $$unsorted) (B_110 $$unsorted) (C_64 $$unsorted)) (let ((_let_1 (tptp.hAPP_c172932010omplex tptp.plus_plus_complex A_162))) (=> (= (tptp.hAPP_complex_complex _let_1 B_110) (tptp.hAPP_complex_complex _let_1 C_64)) (= B_110 C_64)))) (forall ((A_162 $$unsorted) (B_110 $$unsorted) (C_64 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_162))) (=> (= (tptp.hAPP_real_real _let_1 B_110) (tptp.hAPP_real_real _let_1 C_64)) (= B_110 C_64)))) (forall ((A_162 $$unsorted) (B_110 $$unsorted) (C_64 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_162))) (=> (= (tptp.hAPP_nat_nat _let_1 B_110) (tptp.hAPP_nat_nat _let_1 C_64)) (= B_110 C_64)))) (forall ((A_162 $$unsorted) (B_110 $$unsorted) (C_64 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_162))) (=> (and (tptp.is_int B_110) (tptp.is_int C_64)) (=> (= (tptp.hAPP_int_int _let_1 B_110) (tptp.hAPP_int_int _let_1 C_64)) (= B_110 C_64))))) (forall ((A_161 $$unsorted) (B_109 $$unsorted) (C_63 $$unsorted) (D_19 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_161))) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat _let_1 B_109)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat C_63) D_19)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat _let_1 C_63)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat B_109) D_19))))) (forall ((A_161 $$unsorted) (B_109 $$unsorted) (C_63 $$unsorted) (D_19 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_161))) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int (tptp.hAPP_Q1762011733de_int _let_1 B_109)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int C_63) D_19)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int (tptp.hAPP_Q1762011733de_int _let_1 C_63)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int B_109) D_19))))) (forall ((A_161 $$unsorted) (B_109 $$unsorted) (C_63 $$unsorted) (D_19 $$unsorted)) (let ((_let_1 (tptp.hAPP_c172932010omplex tptp.plus_plus_complex A_161))) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex _let_1 B_109)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex C_63) D_19)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex _let_1 C_63)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex B_109) D_19))))) (forall ((A_161 $$unsorted) (B_109 $$unsorted) (C_63 $$unsorted) (D_19 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_161))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real _let_1 B_109)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real C_63) D_19)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real _let_1 C_63)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real B_109) D_19))))) (forall ((A_161 $$unsorted) (B_109 $$unsorted) (C_63 $$unsorted) (D_19 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_161))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat _let_1 B_109)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_63) D_19)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat _let_1 C_63)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_109) D_19))))) (forall ((A_161 $$unsorted) (B_109 $$unsorted) (C_63 $$unsorted) (D_19 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_161))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_1 B_109)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int C_63) D_19)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_1 C_63)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_109) D_19))))) (forall ((B_1 $$unsorted) (A_1 $$unsorted) (C $$unsorted)) (= (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat B_1) A_1) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat C) A_1)) (= B_1 C))) (forall ((B_1 $$unsorted) (A_1 $$unsorted) (C $$unsorted)) (= (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int B_1) A_1) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int C) A_1)) (= B_1 C))) (forall ((B_1 $$unsorted) (A_1 $$unsorted) (C $$unsorted)) (= (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex B_1) A_1) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex C) A_1)) (= B_1 C))) (forall ((B_1 $$unsorted) (A_1 $$unsorted) (C $$unsorted)) (= (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real B_1) A_1) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real C) A_1)) (= B_1 C))) (forall ((B_1 $$unsorted) (A_1 $$unsorted) (C $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_1) A_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C) A_1)) (= B_1 C))) (forall ((B_1 $$unsorted) (A_1 $$unsorted) (C $$unsorted)) (=> (and (tptp.is_int B_1) (tptp.is_int C)) (= (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_1) A_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int C) A_1)) (= B_1 C)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_1))) (= (= (tptp.hAPP_rat_rat _let_1 B_1) (tptp.hAPP_rat_rat _let_1 C)) (= B_1 C)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_1))) (= (= (tptp.hAPP_Q1762011733de_int _let_1 B_1) (tptp.hAPP_Q1762011733de_int _let_1 C)) (= B_1 C)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.hAPP_c172932010omplex tptp.plus_plus_complex A_1))) (= (= (tptp.hAPP_complex_complex _let_1 B_1) (tptp.hAPP_complex_complex _let_1 C)) (= B_1 C)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_1))) (= (= (tptp.hAPP_real_real _let_1 B_1) (tptp.hAPP_real_real _let_1 C)) (= B_1 C)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_1))) (= (= (tptp.hAPP_nat_nat _let_1 B_1) (tptp.hAPP_nat_nat _let_1 C)) (= B_1 C)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_1))) (=> (and (tptp.is_int B_1) (tptp.is_int C)) (= (= (tptp.hAPP_int_int _let_1 B_1) (tptp.hAPP_int_int _let_1 C)) (= B_1 C))))) (forall ((A_160 $$unsorted) (B_108 $$unsorted) (C_62 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_160))) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat _let_1 B_108)) C_62) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat _let_1 C_62)) B_108)))) (forall ((A_160 $$unsorted) (B_108 $$unsorted) (C_62 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_160))) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int (tptp.hAPP_Q1762011733de_int _let_1 B_108)) C_62) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int (tptp.hAPP_Q1762011733de_int _let_1 C_62)) B_108)))) (forall ((A_160 $$unsorted) (B_108 $$unsorted) (C_62 $$unsorted)) (let ((_let_1 (tptp.hAPP_c172932010omplex tptp.plus_plus_complex A_160))) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex _let_1 B_108)) C_62) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex _let_1 C_62)) B_108)))) (forall ((A_160 $$unsorted) (B_108 $$unsorted) (C_62 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_160))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real _let_1 B_108)) C_62) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real _let_1 C_62)) B_108)))) (forall ((A_160 $$unsorted) (B_108 $$unsorted) (C_62 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_160))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat _let_1 B_108)) C_62) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat _let_1 C_62)) B_108)))) (forall ((A_160 $$unsorted) (B_108 $$unsorted) (C_62 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_160))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_1 B_108)) C_62) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_1 C_62)) B_108)))) (forall ((A_159 $$unsorted) (B_107 $$unsorted) (C_61 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_159))) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat _let_1 B_107)) C_61) (tptp.hAPP_rat_rat _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat B_107) C_61))))) (forall ((A_159 $$unsorted) (B_107 $$unsorted) (C_61 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_159))) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int (tptp.hAPP_Q1762011733de_int _let_1 B_107)) C_61) (tptp.hAPP_Q1762011733de_int _let_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int B_107) C_61))))) (forall ((A_159 $$unsorted) (B_107 $$unsorted) (C_61 $$unsorted)) (let ((_let_1 (tptp.hAPP_c172932010omplex tptp.plus_plus_complex A_159))) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex _let_1 B_107)) C_61) (tptp.hAPP_complex_complex _let_1 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex B_107) C_61))))) (forall ((A_159 $$unsorted) (B_107 $$unsorted) (C_61 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_159))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real _let_1 B_107)) C_61) (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real B_107) C_61))))) (forall ((A_159 $$unsorted) (B_107 $$unsorted) (C_61 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_159))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat _let_1 B_107)) C_61) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_107) C_61))))) (forall ((A_159 $$unsorted) (B_107 $$unsorted) (C_61 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_159))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_1 B_107)) C_61) (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_107) C_61))))) (forall ((A_158 $$unsorted) (B_106 $$unsorted) (C_60 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_158))) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat _let_1 B_106)) C_60) (tptp.hAPP_rat_rat _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat B_106) C_60))))) (forall ((A_158 $$unsorted) (B_106 $$unsorted) (C_60 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_158))) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int (tptp.hAPP_Q1762011733de_int _let_1 B_106)) C_60) (tptp.hAPP_Q1762011733de_int _let_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int B_106) C_60))))) (forall ((A_158 $$unsorted) (B_106 $$unsorted) (C_60 $$unsorted)) (let ((_let_1 (tptp.hAPP_c172932010omplex tptp.plus_plus_complex A_158))) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex _let_1 B_106)) C_60) (tptp.hAPP_complex_complex _let_1 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex B_106) C_60))))) (forall ((A_158 $$unsorted) (B_106 $$unsorted) (C_60 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_158))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real _let_1 B_106)) C_60) (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real B_106) C_60))))) (forall ((A_158 $$unsorted) (B_106 $$unsorted) (C_60 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_158))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat _let_1 B_106)) C_60) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_106) C_60))))) (forall ((A_158 $$unsorted) (B_106 $$unsorted) (C_60 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_158))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_1 B_106)) C_60) (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_106) C_60))))) (forall ((A_157 $$unsorted) (C_59 $$unsorted) (D_18 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_157))) (= (tptp.hAPP_rat_rat _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat C_59) D_18)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat _let_1 C_59)) D_18)))) (forall ((A_157 $$unsorted) (C_59 $$unsorted) (D_18 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_157))) (= (tptp.hAPP_Q1762011733de_int _let_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int C_59) D_18)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int (tptp.hAPP_Q1762011733de_int _let_1 C_59)) D_18)))) (forall ((A_157 $$unsorted) (C_59 $$unsorted) (D_18 $$unsorted)) (let ((_let_1 (tptp.hAPP_c172932010omplex tptp.plus_plus_complex A_157))) (= (tptp.hAPP_complex_complex _let_1 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex C_59) D_18)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex _let_1 C_59)) D_18)))) (forall ((A_157 $$unsorted) (C_59 $$unsorted) (D_18 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_157))) (= (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real C_59) D_18)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real _let_1 C_59)) D_18)))) (forall ((A_157 $$unsorted) (C_59 $$unsorted) (D_18 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_157))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_59) D_18)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat _let_1 C_59)) D_18)))) (forall ((A_157 $$unsorted) (C_59 $$unsorted) (D_18 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_157))) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int C_59) D_18)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_1 C_59)) D_18)))) (forall ((A_156 $$unsorted) (C_58 $$unsorted) (D_17 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_156))) (let ((_let_2 (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat C_58))) (= (tptp.hAPP_rat_rat _let_1 (tptp.hAPP_rat_rat _let_2 D_17)) (tptp.hAPP_rat_rat _let_2 (tptp.hAPP_rat_rat _let_1 D_17)))))) (forall ((A_156 $$unsorted) (C_58 $$unsorted) (D_17 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_156))) (let ((_let_2 (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int C_58))) (= (tptp.hAPP_Q1762011733de_int _let_1 (tptp.hAPP_Q1762011733de_int _let_2 D_17)) (tptp.hAPP_Q1762011733de_int _let_2 (tptp.hAPP_Q1762011733de_int _let_1 D_17)))))) (forall ((A_156 $$unsorted) (C_58 $$unsorted) (D_17 $$unsorted)) (let ((_let_1 (tptp.hAPP_c172932010omplex tptp.plus_plus_complex A_156))) (let ((_let_2 (tptp.hAPP_c172932010omplex tptp.plus_plus_complex C_58))) (= (tptp.hAPP_complex_complex _let_1 (tptp.hAPP_complex_complex _let_2 D_17)) (tptp.hAPP_complex_complex _let_2 (tptp.hAPP_complex_complex _let_1 D_17)))))) (forall ((A_156 $$unsorted) (C_58 $$unsorted) (D_17 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_156))) (let ((_let_2 (tptp.hAPP_r1250527377l_real tptp.plus_plus_real C_58))) (= (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real _let_2 D_17)) (tptp.hAPP_real_real _let_2 (tptp.hAPP_real_real _let_1 D_17)))))) (forall ((A_156 $$unsorted) (C_58 $$unsorted) (D_17 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_156))) (let ((_let_2 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_58))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat _let_2 D_17)) (tptp.hAPP_nat_nat _let_2 (tptp.hAPP_nat_nat _let_1 D_17)))))) (forall ((A_156 $$unsorted) (C_58 $$unsorted) (D_17 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_156))) (let ((_let_2 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int C_58))) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int _let_2 D_17)) (tptp.hAPP_int_int _let_2 (tptp.hAPP_int_int _let_1 D_17)))))) (forall ((A_155 $$unsorted) (C_57 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_155) C_57) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat C_57) A_155))) (forall ((A_155 $$unsorted) (C_57 $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_155) C_57) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int C_57) A_155))) (forall ((A_155 $$unsorted) (C_57 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex A_155) C_57) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex C_57) A_155))) (forall ((A_155 $$unsorted) (C_57 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_155) C_57) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real C_57) A_155))) (forall ((A_155 $$unsorted) (C_57 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_155) C_57) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_57) A_155))) (forall ((A_155 $$unsorted) (C_57 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_155) C_57) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int C_57) A_155))) (forall ((Xa $$unsorted)) (= (= tptp.one_one_rat Xa) (= Xa tptp.one_one_rat))) (forall ((Xa $$unsorted)) (= (= tptp.one_on1684967323de_int Xa) (= Xa tptp.one_on1684967323de_int))) (forall ((Xa $$unsorted)) (= (= tptp.one_one_complex Xa) (= Xa tptp.one_one_complex))) (forall ((Xa $$unsorted)) (= (= tptp.one_on1645066479umeral Xa) (= Xa tptp.one_on1645066479umeral))) (forall ((Xa $$unsorted)) (= (= tptp.one_one_real Xa) (= Xa tptp.one_one_real))) (forall ((Xa $$unsorted)) (= (= tptp.one_one_nat Xa) (= Xa tptp.one_one_nat))) (forall ((Xa $$unsorted)) (=> (tptp.is_int Xa) (= (= tptp.one_one_int Xa) (= Xa tptp.one_one_int)))) (forall ((K_2 $$unsorted)) (= (tptp.hAPP_int_int tptp.succ K_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int K_2) tptp.one_one_int))) (forall ((A_154 $$unsorted) (N_32 $$unsorted) (B_105 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat))) (=> (= (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_154) N_32) (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat B_105) N_32)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 A_154)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 B_105)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_32)) (= A_154 B_105))))))) (forall ((A_154 $$unsorted) (N_32 $$unsorted) (B_105 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int))) (=> (= (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int A_154) N_32) (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int B_105) N_32)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 A_154)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 B_105)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_32)) (= A_154 B_105))))))) (forall ((A_154 $$unsorted) (N_32 $$unsorted) (B_105 $$unsorted)) (let ((_let_1 (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral))) (=> (= (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral A_154) N_32) (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral B_105) N_32)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 A_154)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 B_105)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_32)) (= A_154 B_105))))))) (forall ((A_154 $$unsorted) (N_32 $$unsorted) (B_105 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (=> (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_154) N_32) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real B_105) N_32)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_154)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 B_105)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_32)) (= A_154 B_105))))))) (forall ((A_154 $$unsorted) (N_32 $$unsorted) (B_105 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat))) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_154) N_32) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat B_105) N_32)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_154)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_105)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_32)) (= A_154 B_105))))))) (forall ((A_154 $$unsorted) (N_32 $$unsorted) (B_105 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (and (tptp.is_int A_154) (tptp.is_int B_105)) (=> (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_154) N_32) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int B_105) N_32)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_154)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_105)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_32)) (= A_154 B_105)))))))) (forall ((V_19 $$unsorted) (V_18 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 V_18)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 V_19)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_int_rat tptp.number_number_of_rat V_18)) (tptp.hAPP_int_rat tptp.number_number_of_rat V_19)) (tptp.hAPP_int_rat tptp.number_number_of_rat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_18) V_19))))))) (forall ((V_19 $$unsorted) (V_18 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 V_18)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 V_19)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_int_complex tptp.number528085621omplex V_18)) (tptp.hAPP_int_complex tptp.number528085621omplex V_19)) (tptp.hAPP_int_complex tptp.number528085621omplex (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_18) V_19))))))) (forall ((V_19 $$unsorted) (V_18 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 V_18)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 V_19)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_int_real tptp.number267125858f_real V_18)) (tptp.hAPP_int_real tptp.number267125858f_real V_19)) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_18) V_19))))))) (forall ((V_19 $$unsorted) (V_18 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 V_18)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 V_19)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_int_nat tptp.number_number_of_nat V_18)) (tptp.hAPP_int_nat tptp.number_number_of_nat V_19)) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_18) V_19))))))) (forall ((V_19 $$unsorted) (V_18 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 V_18)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 V_19)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.number_number_of_int V_18)) (tptp.hAPP_int_int tptp.number_number_of_int V_19)) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_18) V_19))))))) (tptp.hBOOL (tptp.hAPP_int_bool _let_86 _let_11)) (forall ((Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) Z_1))))) (forall ((K_8 $$unsorted)) (= (tptp.hAPP_int_rat tptp.number_number_of_rat (tptp.hAPP_int_int tptp.succ K_8)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) (tptp.hAPP_int_rat tptp.number_number_of_rat K_8)))) (forall ((K_8 $$unsorted)) (= (tptp.hAPP_int_complex tptp.number528085621omplex (tptp.hAPP_int_int tptp.succ K_8)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex tptp.one_one_complex) (tptp.hAPP_int_complex tptp.number528085621omplex K_8)))) (forall ((K_8 $$unsorted)) (= (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.succ K_8)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.one_one_real) (tptp.hAPP_int_real tptp.number267125858f_real K_8)))) (forall ((K_8 $$unsorted)) (= (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.succ K_8)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.hAPP_int_int tptp.number_number_of_int K_8)))) (forall ((K_2 $$unsorted) (L_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.bit1 K_2)) (tptp.hAPP_int_int tptp.bit1 L_2)) (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int K_2) (tptp.hAPP_int_int tptp.succ L_2))))) (forall ((N_31 $$unsorted) (A_153 $$unsorted) (B_104 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_153) B_104)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A_153)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_31)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_153) N_31)) (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat B_104) N_31))))))) (forall ((N_31 $$unsorted) (A_153 $$unsorted) (B_104 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_153) B_104)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) A_153)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_31)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int A_153) N_31)) (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int B_104) N_31))))))) (forall ((N_31 $$unsorted) (A_153 $$unsorted) (B_104 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral A_153) B_104)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) A_153)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_31)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral A_153) N_31)) (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral B_104) N_31))))))) (forall ((N_31 $$unsorted) (A_153 $$unsorted) (B_104 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_153) B_104)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A_153)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_31)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_153) N_31)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real B_104) N_31))))))) (forall ((N_31 $$unsorted) (A_153 $$unsorted) (B_104 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_153) B_104)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A_153)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_31)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_153) N_31)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat B_104) N_31))))))) (forall ((N_31 $$unsorted) (A_153 $$unsorted) (B_104 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_153) B_104)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) A_153)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_31)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_153) N_31)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int B_104) N_31))))))) (tptp.hBOOL (tptp.hAPP_int_bool _let_86 _let_9)) (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))))) (forall ((X_61 $$unsorted) (Y_51 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (= (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat X_61) _let_2) (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat Y_51) _let_2)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 X_61)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 Y_51)) (= X_61 Y_51))))))) (forall ((X_61 $$unsorted) (Y_51 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (= (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int X_61) _let_2) (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int Y_51) _let_2)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 X_61)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 Y_51)) (= X_61 Y_51))))))) (forall ((X_61 $$unsorted) (Y_51 $$unsorted)) (let ((_let_1 (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (= (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral X_61) _let_2) (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral Y_51) _let_2)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 X_61)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 Y_51)) (= X_61 Y_51))))))) (forall ((X_61 $$unsorted) (Y_51 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X_61) _let_2) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y_51) _let_2)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X_61)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Y_51)) (= X_61 Y_51))))))) (forall ((X_61 $$unsorted) (Y_51 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat X_61) _let_2) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat Y_51) _let_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 X_61)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y_51)) (= X_61 Y_51))))))) (forall ((X_61 $$unsorted) (Y_51 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (and (tptp.is_int X_61) (tptp.is_int Y_51)) (=> (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X_61) _let_2) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Y_51) _let_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X_61)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Y_51)) (= X_61 Y_51)))))))) (forall ((X_60 $$unsorted) (Y_50 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat X_60) _let_1)) (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat Y_50) _let_1))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y_50)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat X_60) Y_50)))))) (forall ((X_60 $$unsorted) (Y_50 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int X_60) _let_1)) (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int Y_50) _let_1))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) Y_50)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int X_60) Y_50)))))) (forall ((X_60 $$unsorted) (Y_50 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral X_60) _let_1)) (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral Y_50) _let_1))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) Y_50)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral X_60) Y_50)))))) (forall ((X_60 $$unsorted) (Y_50 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X_60) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y_50) _let_1))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y_50)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_60) Y_50)))))) (forall ((X_60 $$unsorted) (Y_50 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat X_60) _let_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat Y_50) _let_1))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) Y_50)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_60) Y_50)))))) (forall ((X_60 $$unsorted) (Y_50 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X_60) _let_1)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Y_50) _let_1))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y_50)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X_60) Y_50)))))) (forall ((A_152 $$unsorted)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_152) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))))) (forall ((A_152 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_152) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))))) (forall ((A_152 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_152) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))))) (forall ((V_17 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_rat tptp.semiri151668891at_rat (tptp.hAPP_int_nat tptp.number_number_of_nat V_17)))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_int_int tptp.number_number_of_int V_17))))) (and (=> _let_2 (= _let_1 (tptp.hAPP_int_rat tptp.number_number_of_rat V_17))) (=> (not _let_2) (= _let_1 tptp.zero_zero_rat)))))) (forall ((V_17 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_complex tptp.semiri2020571505omplex (tptp.hAPP_int_nat tptp.number_number_of_nat V_17)))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_int_int tptp.number_number_of_int V_17))))) (and (=> _let_2 (= _let_1 (tptp.hAPP_int_complex tptp.number528085621omplex V_17))) (=> (not _let_2) (= _let_1 tptp.zero_zero_complex)))))) (forall ((V_17 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_real tptp.semiri132038758t_real (tptp.hAPP_int_nat tptp.number_number_of_nat V_17)))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_int_int tptp.number_number_of_int V_17))))) (and (=> _let_2 (= _let_1 (tptp.hAPP_int_real tptp.number267125858f_real V_17))) (=> (not _let_2) (= _let_1 tptp.zero_zero_real)))))) (forall ((V_17 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_int_nat tptp.number_number_of_nat V_17)))) (let ((_let_2 (tptp.hAPP_int_int tptp.number_number_of_int V_17))) (let ((_let_3 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) _let_2)))) (and (=> _let_3 (= _let_1 _let_2)) (=> (not _let_3) (= _let_1 tptp.zero_zero_int))))))) (forall ((B_1 $$unsorted) (A_1 $$unsorted)) (= (= B_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat B_1) A_1)) (= A_1 tptp.zero_zero_rat))) (forall ((B_1 $$unsorted) (A_1 $$unsorted)) (= (= B_1 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex B_1) A_1)) (= A_1 tptp.zero_zero_complex))) (forall ((B_1 $$unsorted) (A_1 $$unsorted)) (= (= B_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real B_1) A_1)) (= A_1 tptp.zero_zero_real))) (forall ((B_1 $$unsorted) (A_1 $$unsorted)) (= (= B_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_1) A_1)) (= A_1 tptp.zero_zero_nat))) (forall ((B_1 $$unsorted) (A_1 $$unsorted)) (=> (and (tptp.is_int B_1) (tptp.is_int A_1)) (= (= B_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_1) A_1)) (= A_1 tptp.zero_zero_int)))) (forall ((A_151 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_151) tptp.zero_zero_rat) A_151)) (forall ((A_151 $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_151) tptp.zero_z891286103de_int) A_151)) (forall ((A_151 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex A_151) tptp.zero_zero_complex) A_151)) (forall ((A_151 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_151) tptp.zero_zero_real) A_151)) (forall ((A_151 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_151) tptp.zero_zero_nat) A_151)) (forall ((A_151 $$unsorted)) (=> (tptp.is_int A_151) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_151) tptp.zero_zero_int) A_151))) (forall ((A_151 $$unsorted)) (= (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral A_151) tptp.zero_z126310315umeral) A_151)) (forall ((A_150 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_150) tptp.zero_zero_rat) A_150)) (forall ((A_150 $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_150) tptp.zero_z891286103de_int) A_150)) (forall ((A_150 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex A_150) tptp.zero_zero_complex) A_150)) (forall ((A_150 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_150) tptp.zero_zero_real) A_150)) (forall ((A_150 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_150) tptp.zero_zero_nat) A_150)) (forall ((A_150 $$unsorted)) (=> (tptp.is_int A_150) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_150) tptp.zero_zero_int) A_150))) (forall ((A_150 $$unsorted)) (= (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral A_150) tptp.zero_z126310315umeral) A_150)) (forall ((A_149 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_149) tptp.zero_zero_rat) A_149)) (forall ((A_149 $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_149) tptp.zero_z891286103de_int) A_149)) (forall ((A_149 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex A_149) tptp.zero_zero_complex) A_149)) (forall ((A_149 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_149) tptp.zero_zero_real) A_149)) (forall ((A_149 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_149) tptp.zero_zero_nat) A_149)) (forall ((A_149 $$unsorted)) (=> (tptp.is_int A_149) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_149) tptp.zero_zero_int) A_149))) (forall ((A_149 $$unsorted)) (= (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral A_149) tptp.zero_z126310315umeral) A_149)) (forall ((A_1 $$unsorted)) (= (= tptp.zero_zero_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_1) A_1)) (= A_1 tptp.zero_zero_rat))) (forall ((A_1 $$unsorted)) (= (= tptp.zero_zero_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_1) A_1)) (= A_1 tptp.zero_zero_real))) (forall ((A_1 $$unsorted)) (=> (tptp.is_int A_1) (= (= tptp.zero_zero_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_1) A_1)) (= A_1 tptp.zero_zero_int)))) (forall ((A_148 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat tptp.zero_zero_rat) A_148) A_148)) (forall ((A_148 $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int tptp.zero_z891286103de_int) A_148) A_148)) (forall ((A_148 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex tptp.zero_zero_complex) A_148) A_148)) (forall ((A_148 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.zero_zero_real) A_148) A_148)) (forall ((A_148 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.zero_zero_nat) A_148) A_148)) (forall ((A_148 $$unsorted)) (=> (tptp.is_int A_148) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.zero_zero_int) A_148) A_148))) (forall ((A_148 $$unsorted)) (= (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral tptp.zero_z126310315umeral) A_148) A_148)) (forall ((A_147 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat tptp.zero_zero_rat) A_147) A_147)) (forall ((A_147 $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int tptp.zero_z891286103de_int) A_147) A_147)) (forall ((A_147 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex tptp.zero_zero_complex) A_147) A_147)) (forall ((A_147 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.zero_zero_real) A_147) A_147)) (forall ((A_147 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.zero_zero_nat) A_147) A_147)) (forall ((A_147 $$unsorted)) (=> (tptp.is_int A_147) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.zero_zero_int) A_147) A_147))) (forall ((A_147 $$unsorted)) (= (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral tptp.zero_z126310315umeral) A_147) A_147)) (forall ((A_146 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat tptp.zero_zero_rat) A_146) A_146)) (forall ((A_146 $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int tptp.zero_z891286103de_int) A_146) A_146)) (forall ((A_146 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex tptp.zero_zero_complex) A_146) A_146)) (forall ((A_146 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.zero_zero_real) A_146) A_146)) (forall ((A_146 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.zero_zero_nat) A_146) A_146)) (forall ((A_146 $$unsorted)) (=> (tptp.is_int A_146) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.zero_zero_int) A_146) A_146))) (forall ((A_146 $$unsorted)) (= (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral tptp.zero_z126310315umeral) A_146) A_146)) (forall ((C_56 $$unsorted) (A_145 $$unsorted) (B_103 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat C_56))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat _let_1 A_145)) (tptp.hAPP_rat_rat _let_1 B_103))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_145) B_103))))) (forall ((C_56 $$unsorted) (A_145 $$unsorted) (B_103 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int C_56))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int _let_1 A_145)) (tptp.hAPP_Q1762011733de_int _let_1 B_103))) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_145) B_103))))) (forall ((C_56 $$unsorted) (A_145 $$unsorted) (B_103 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.plus_plus_real C_56))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real _let_1 A_145)) (tptp.hAPP_real_real _let_1 B_103))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_145) B_103))))) (forall ((C_56 $$unsorted) (A_145 $$unsorted) (B_103 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_56))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 A_145)) (tptp.hAPP_nat_nat _let_1 B_103))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_145) B_103))))) (forall ((C_56 $$unsorted) (A_145 $$unsorted) (B_103 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int C_56))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int _let_1 A_145)) (tptp.hAPP_int_int _let_1 B_103))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_145) B_103))))) (forall ((A_144 $$unsorted) (C_55 $$unsorted) (B_102 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_144) C_55)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat B_102) C_55))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_144) B_102)))) (forall ((A_144 $$unsorted) (C_55 $$unsorted) (B_102 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_144) C_55)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int B_102) C_55))) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_144) B_102)))) (forall ((A_144 $$unsorted) (C_55 $$unsorted) (B_102 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_144) C_55)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real B_102) C_55))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_144) B_102)))) (forall ((A_144 $$unsorted) (C_55 $$unsorted) (B_102 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_144) C_55)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_102) C_55))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_144) B_102)))) (forall ((A_144 $$unsorted) (C_55 $$unsorted) (B_102 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_144) C_55)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_102) C_55))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_144) B_102)))) (forall ((C_54 $$unsorted) (D_16 $$unsorted) (A_143 $$unsorted) (B_101 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_143) B_101)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat C_54) D_16)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_143) C_54)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat B_101) D_16)))))) (forall ((C_54 $$unsorted) (D_16 $$unsorted) (A_143 $$unsorted) (B_101 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_143) B_101)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int C_54) D_16)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_143) C_54)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int B_101) D_16)))))) (forall ((C_54 $$unsorted) (D_16 $$unsorted) (A_143 $$unsorted) (B_101 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_143) B_101)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real C_54) D_16)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_143) C_54)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real B_101) D_16)))))) (forall ((C_54 $$unsorted) (D_16 $$unsorted) (A_143 $$unsorted) (B_101 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_143) B_101)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat C_54) D_16)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_143) C_54)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_101) D_16)))))) (forall ((C_54 $$unsorted) (D_16 $$unsorted) (A_143 $$unsorted) (B_101 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_143) B_101)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int C_54) D_16)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_143) C_54)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_101) D_16)))))) (forall ((C_53 $$unsorted) (A_142 $$unsorted) (B_100 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat C_53))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_142) B_100)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat _let_1 A_142)) (tptp.hAPP_rat_rat _let_1 B_100)))))) (forall ((C_53 $$unsorted) (A_142 $$unsorted) (B_100 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int C_53))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_142) B_100)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int _let_1 A_142)) (tptp.hAPP_Q1762011733de_int _let_1 B_100)))))) (forall ((C_53 $$unsorted) (A_142 $$unsorted) (B_100 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.plus_plus_real C_53))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_142) B_100)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real _let_1 A_142)) (tptp.hAPP_real_real _let_1 B_100)))))) (forall ((C_53 $$unsorted) (A_142 $$unsorted) (B_100 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C_53))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_142) B_100)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 A_142)) (tptp.hAPP_nat_nat _let_1 B_100)))))) (forall ((C_53 $$unsorted) (A_142 $$unsorted) (B_100 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int C_53))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_142) B_100)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int _let_1 A_142)) (tptp.hAPP_int_int _let_1 B_100)))))) (forall ((C_52 $$unsorted) (A_141 $$unsorted) (B_99 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_141) B_99)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_141) C_52)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat B_99) C_52))))) (forall ((C_52 $$unsorted) (A_141 $$unsorted) (B_99 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_141) B_99)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_141) C_52)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int B_99) C_52))))) (forall ((C_52 $$unsorted) (A_141 $$unsorted) (B_99 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_141) B_99)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_141) C_52)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real B_99) C_52))))) (forall ((C_52 $$unsorted) (A_141 $$unsorted) (B_99 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_141) B_99)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_141) C_52)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_99) C_52))))) (forall ((C_52 $$unsorted) (A_141 $$unsorted) (B_99 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_141) B_99)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_141) C_52)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_99) C_52))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat C))) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat _let_1 A_1)) (tptp.hAPP_rat_rat _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_1) B_1))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int C))) (= (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int _let_1 A_1)) (tptp.hAPP_Q1762011733de_int _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_1) B_1))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.plus_plus_real C))) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real _let_1 A_1)) (tptp.hAPP_real_real _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_1) B_1))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat C))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 A_1)) (tptp.hAPP_nat_nat _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_1) B_1))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int C))) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int _let_1 A_1)) (tptp.hAPP_int_int _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) B_1))))) (forall ((A_1 $$unsorted) (C $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_1) C)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat B_1) C))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_1) B_1)))) (forall ((A_1 $$unsorted) (C $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_1) C)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int B_1) C))) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_1) B_1)))) (forall ((A_1 $$unsorted) (C $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_1) C)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real B_1) C))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_1) B_1)))) (forall ((A_1 $$unsorted) (C $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_1) C)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_1) C))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_1) B_1)))) (forall ((A_1 $$unsorted) (C $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_1) C)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_1) C))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) B_1)))) (forall ((X_59 $$unsorted) (Y_49 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat X_59) _let_1)) (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat Y_49) _let_1))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y_49)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat X_59) Y_49)))))) (forall ((X_59 $$unsorted) (Y_49 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int X_59) _let_1)) (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int Y_49) _let_1))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) Y_49)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int X_59) Y_49)))))) (forall ((X_59 $$unsorted) (Y_49 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral X_59) _let_1)) (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral Y_49) _let_1))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) Y_49)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral X_59) Y_49)))))) (forall ((X_59 $$unsorted) (Y_49 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X_59) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y_49) _let_1))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y_49)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_59) Y_49)))))) (forall ((X_59 $$unsorted) (Y_49 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat X_59) _let_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat Y_49) _let_1))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) Y_49)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_59) Y_49)))))) (forall ((X_59 $$unsorted) (Y_49 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X_59) _let_1)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Y_49) _let_1))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y_49)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_59) Y_49)))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat Xa) _let_1)) (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat Ya) _let_1))) tptp.zero_zero_rat)) (and (= Xa tptp.zero_zero_rat) (= Ya tptp.zero_zero_rat))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Xa) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Ya) _let_1))) tptp.zero_zero_real)) (and (= Xa tptp.zero_zero_real) (= Ya tptp.zero_zero_real))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (and (tptp.is_int Xa) (tptp.is_int Ya)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Xa) _let_1)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Ya) _let_1))) tptp.zero_zero_int)) (and (= Xa tptp.zero_zero_int) (= Ya tptp.zero_zero_int)))))) (forall ((X_58 $$unsorted) (Y_48 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat X_58) _let_1)) (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat Y_48) _let_1)))))) (forall ((X_58 $$unsorted) (Y_48 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X_58) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y_48) _let_1)))))) (forall ((X_58 $$unsorted) (Y_48 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X_58) _let_1)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Y_48) _let_1)))))) (forall ((X_57 $$unsorted)) (= (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex X_57) tptp.one_one_nat) X_57)) (forall ((X_57 $$unsorted)) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X_57) tptp.one_one_nat) X_57)) (forall ((X_57 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat X_57) tptp.one_one_nat) X_57)) (forall ((X_57 $$unsorted)) (=> (tptp.is_int X_57) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X_57) tptp.one_one_nat) X_57))) (forall ((X $$unsorted)) (=> (tptp.is_int X) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (or (= X tptp.zero_zero_int) (= X tptp.one_one_int)))))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat Ma) Na) tptp.zero_zero_nat) (and (not (= Na tptp.zero_zero_nat)) (= Ma tptp.zero_zero_nat)))) (forall ((V_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_int_nat tptp.number_number_of_nat V_1)) tptp.one_one_nat))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int V_1) tptp.pls)))) (and (=> _let_2 (= _let_1 tptp.one_one_nat)) (=> (not _let_2) (= _let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.succ V_1)))))))) (forall ((N $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int tptp.number_number_of_int N))) (and (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 N)))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit1 N)))))))) (forall ((A_3 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) A_3)) (exists ((X_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X_1)) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X_1) N) A_3) (forall ((Y_1 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Y_1)) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y_1) N) A_3)) (= Y_1 X_1)))))))) (forall ((A_3 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) A_3)) (exists ((R_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) R_1)) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real R_1) N) A_3)))))) (tptp.hBOOL (tptp.hAPP_int_bool _let_86 _let_80)) (forall ((Z_1 $$unsorted)) (=> (tptp.is_int Z_1) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z_1)) (not (forall ((M_1 $$unsorted)) (not (= Z_1 (tptp.hAPP_nat_int tptp.semiri1621563631at_int M_1)))))))) (forall ((K_2 $$unsorted)) (=> (tptp.is_int K_2) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) K_2)) (not (forall ((N_1 $$unsorted)) (not (= K_2 (tptp.hAPP_nat_int tptp.semiri1621563631at_int N_1)))))))) (forall ((K_2 $$unsorted)) (=> (tptp.is_int K_2) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) K_2)) (exists ((N_1 $$unsorted)) (= K_2 (tptp.hAPP_nat_int tptp.semiri1621563631at_int N_1)))))) (forall ((P_1 $$unsorted) (K $$unsorted) (I_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K) I_1)) (=> (tptp.hBOOL (tptp.hAPP_int_bool P_1 K)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.is_int I_2) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K) I_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool P_1 I_2)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int I_2) tptp.one_one_int))))))) (tptp.hBOOL (tptp.hAPP_int_bool P_1 I_1)))))) (forall ((X_56 $$unsorted)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat X_56) X_56))) (forall ((Xa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Xa) Xa))) (forall ((Xa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Xa) Xa))) (forall ((X_56 $$unsorted)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int X_56) X_56))) (forall ((X_56 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_56) X_56))) (forall ((X_56 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_56) X_56))) (forall ((X_56 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X_56) X_56))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit1 tptp.pls))) (let ((_let_2 (tptp.hAPP_int_int tptp.bit1 _let_1))) (let ((_let_3 (tptp.hAPP_int_nat tptp.number_number_of_nat _let_2))) (let ((_let_4 (tptp.hAPP_int_fun_nat_int tptp.power_power_int B_2))) (let ((_let_5 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 _let_1)))) (let ((_let_6 (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int _let_2)))) (let ((_let_7 (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_3))) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_3) B_2)) _let_3) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int _let_7 _let_3)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int _let_6 (tptp.hAPP_nat_int _let_7 _let_5))) B_2))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int _let_6 A_3)) (tptp.hAPP_nat_int _let_4 _let_5)))) (tptp.hAPP_nat_int _let_4 _let_3))))))))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_3) B_2)) _let_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_3) _let_2)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int _let_1)) A_3)) B_2))) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int B_2) _let_2)))))) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) N))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) Ya)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) Ya)) (not (= Xa Ya))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) Ya)) (or (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) Ya)) (= Xa Ya)))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M)) (= M N)))) (forall ((K_2 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 J_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat J_2) K_2)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 K_2)))))) (forall ((M $$unsorted) (N $$unsorted)) (=> (= M N) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)))) (forall ((M $$unsorted) (N $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M)))) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) N))) (forall ((A_140 $$unsorted) (B_98 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_140) B_98) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_98) A_140))) (forall ((A_140 $$unsorted) (B_98 $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_140) B_98) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int B_98) A_140))) (forall ((A_140 $$unsorted) (B_98 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_140) B_98) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex B_98) A_140))) (forall ((A_140 $$unsorted) (B_98 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_140) B_98) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_98) A_140))) (forall ((A_140 $$unsorted) (B_98 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_140) B_98) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_98) A_140))) (forall ((A_140 $$unsorted) (B_98 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_140) B_98) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_98) A_140))) (forall ((Lx_6 $$unsorted) (Rx_6 $$unsorted) (Ry_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Lx_6))) (let ((_let_2 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Rx_6))) (= (tptp.hAPP_rat_rat _let_1 (tptp.hAPP_rat_rat _let_2 Ry_4)) (tptp.hAPP_rat_rat _let_2 (tptp.hAPP_rat_rat _let_1 Ry_4)))))) (forall ((Lx_6 $$unsorted) (Rx_6 $$unsorted) (Ry_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int Lx_6))) (let ((_let_2 (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int Rx_6))) (= (tptp.hAPP_Q1762011733de_int _let_1 (tptp.hAPP_Q1762011733de_int _let_2 Ry_4)) (tptp.hAPP_Q1762011733de_int _let_2 (tptp.hAPP_Q1762011733de_int _let_1 Ry_4)))))) (forall ((Lx_6 $$unsorted) (Rx_6 $$unsorted) (Ry_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_c172932010omplex tptp.times_times_complex Lx_6))) (let ((_let_2 (tptp.hAPP_c172932010omplex tptp.times_times_complex Rx_6))) (= (tptp.hAPP_complex_complex _let_1 (tptp.hAPP_complex_complex _let_2 Ry_4)) (tptp.hAPP_complex_complex _let_2 (tptp.hAPP_complex_complex _let_1 Ry_4)))))) (forall ((Lx_6 $$unsorted) (Rx_6 $$unsorted) (Ry_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real Lx_6))) (let ((_let_2 (tptp.hAPP_r1250527377l_real tptp.times_times_real Rx_6))) (= (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real _let_2 Ry_4)) (tptp.hAPP_real_real _let_2 (tptp.hAPP_real_real _let_1 Ry_4)))))) (forall ((Lx_6 $$unsorted) (Rx_6 $$unsorted) (Ry_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Lx_6))) (let ((_let_2 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Rx_6))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat _let_2 Ry_4)) (tptp.hAPP_nat_nat _let_2 (tptp.hAPP_nat_nat _let_1 Ry_4)))))) (forall ((Lx_6 $$unsorted) (Rx_6 $$unsorted) (Ry_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int Lx_6))) (let ((_let_2 (tptp.hAPP_int_fun_int_int tptp.times_times_int Rx_6))) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int _let_2 Ry_4)) (tptp.hAPP_int_int _let_2 (tptp.hAPP_int_int _let_1 Ry_4)))))) (forall ((Lx_5 $$unsorted) (Rx_5 $$unsorted) (Ry_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Lx_5))) (= (tptp.hAPP_rat_rat _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Rx_5) Ry_3)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat _let_1 Rx_5)) Ry_3)))) (forall ((Lx_5 $$unsorted) (Rx_5 $$unsorted) (Ry_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int Lx_5))) (= (tptp.hAPP_Q1762011733de_int _let_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int Rx_5) Ry_3)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int (tptp.hAPP_Q1762011733de_int _let_1 Rx_5)) Ry_3)))) (forall ((Lx_5 $$unsorted) (Rx_5 $$unsorted) (Ry_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_c172932010omplex tptp.times_times_complex Lx_5))) (= (tptp.hAPP_complex_complex _let_1 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex Rx_5) Ry_3)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex _let_1 Rx_5)) Ry_3)))) (forall ((Lx_5 $$unsorted) (Rx_5 $$unsorted) (Ry_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real Lx_5))) (= (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Rx_5) Ry_3)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real _let_1 Rx_5)) Ry_3)))) (forall ((Lx_5 $$unsorted) (Rx_5 $$unsorted) (Ry_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Lx_5))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Rx_5) Ry_3)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat _let_1 Rx_5)) Ry_3)))) (forall ((Lx_5 $$unsorted) (Rx_5 $$unsorted) (Ry_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int Lx_5))) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Rx_5) Ry_3)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int _let_1 Rx_5)) Ry_3)))) (forall ((A_139 $$unsorted) (B_97 $$unsorted) (C_51 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_139))) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat _let_1 B_97)) C_51) (tptp.hAPP_rat_rat _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_97) C_51))))) (forall ((A_139 $$unsorted) (B_97 $$unsorted) (C_51 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_139))) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int (tptp.hAPP_Q1762011733de_int _let_1 B_97)) C_51) (tptp.hAPP_Q1762011733de_int _let_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int B_97) C_51))))) (forall ((A_139 $$unsorted) (B_97 $$unsorted) (C_51 $$unsorted)) (let ((_let_1 (tptp.hAPP_c172932010omplex tptp.times_times_complex A_139))) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex _let_1 B_97)) C_51) (tptp.hAPP_complex_complex _let_1 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex B_97) C_51))))) (forall ((A_139 $$unsorted) (B_97 $$unsorted) (C_51 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real A_139))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real _let_1 B_97)) C_51) (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_97) C_51))))) (forall ((A_139 $$unsorted) (B_97 $$unsorted) (C_51 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_139))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat _let_1 B_97)) C_51) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_97) C_51))))) (forall ((A_139 $$unsorted) (B_97 $$unsorted) (C_51 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int A_139))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int _let_1 B_97)) C_51) (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_97) C_51))))) (forall ((Lx_4 $$unsorted) (Ly_4 $$unsorted) (Rx_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Lx_4))) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat _let_1 Ly_4)) Rx_4) (tptp.hAPP_rat_rat _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Ly_4) Rx_4))))) (forall ((Lx_4 $$unsorted) (Ly_4 $$unsorted) (Rx_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int Lx_4))) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int (tptp.hAPP_Q1762011733de_int _let_1 Ly_4)) Rx_4) (tptp.hAPP_Q1762011733de_int _let_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int Ly_4) Rx_4))))) (forall ((Lx_4 $$unsorted) (Ly_4 $$unsorted) (Rx_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_c172932010omplex tptp.times_times_complex Lx_4))) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex _let_1 Ly_4)) Rx_4) (tptp.hAPP_complex_complex _let_1 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex Ly_4) Rx_4))))) (forall ((Lx_4 $$unsorted) (Ly_4 $$unsorted) (Rx_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real Lx_4))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real _let_1 Ly_4)) Rx_4) (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Ly_4) Rx_4))))) (forall ((Lx_4 $$unsorted) (Ly_4 $$unsorted) (Rx_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Lx_4))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat _let_1 Ly_4)) Rx_4) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Ly_4) Rx_4))))) (forall ((Lx_4 $$unsorted) (Ly_4 $$unsorted) (Rx_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int Lx_4))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int _let_1 Ly_4)) Rx_4) (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Ly_4) Rx_4))))) (forall ((Lx_3 $$unsorted) (Ly_3 $$unsorted) (Rx_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Lx_3))) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat _let_1 Ly_3)) Rx_3) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat _let_1 Rx_3)) Ly_3)))) (forall ((Lx_3 $$unsorted) (Ly_3 $$unsorted) (Rx_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int Lx_3))) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int (tptp.hAPP_Q1762011733de_int _let_1 Ly_3)) Rx_3) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int (tptp.hAPP_Q1762011733de_int _let_1 Rx_3)) Ly_3)))) (forall ((Lx_3 $$unsorted) (Ly_3 $$unsorted) (Rx_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_c172932010omplex tptp.times_times_complex Lx_3))) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex _let_1 Ly_3)) Rx_3) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex _let_1 Rx_3)) Ly_3)))) (forall ((Lx_3 $$unsorted) (Ly_3 $$unsorted) (Rx_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real Lx_3))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real _let_1 Ly_3)) Rx_3) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real _let_1 Rx_3)) Ly_3)))) (forall ((Lx_3 $$unsorted) (Ly_3 $$unsorted) (Rx_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Lx_3))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat _let_1 Ly_3)) Rx_3) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat _let_1 Rx_3)) Ly_3)))) (forall ((Lx_3 $$unsorted) (Ly_3 $$unsorted) (Rx_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int Lx_3))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int _let_1 Ly_3)) Rx_3) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int _let_1 Rx_3)) Ly_3)))) (forall ((Lx_2 $$unsorted) (Ly_2 $$unsorted) (Rx_2 $$unsorted) (Ry_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Rx_2) Ry_2))) (let ((_let_2 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Lx_2))) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat _let_2 Ly_2)) _let_1) (tptp.hAPP_rat_rat _let_2 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Ly_2) _let_1)))))) (forall ((Lx_2 $$unsorted) (Ly_2 $$unsorted) (Rx_2 $$unsorted) (Ry_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int Rx_2) Ry_2))) (let ((_let_2 (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int Lx_2))) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int (tptp.hAPP_Q1762011733de_int _let_2 Ly_2)) _let_1) (tptp.hAPP_Q1762011733de_int _let_2 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int Ly_2) _let_1)))))) (forall ((Lx_2 $$unsorted) (Ly_2 $$unsorted) (Rx_2 $$unsorted) (Ry_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex Rx_2) Ry_2))) (let ((_let_2 (tptp.hAPP_c172932010omplex tptp.times_times_complex Lx_2))) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex _let_2 Ly_2)) _let_1) (tptp.hAPP_complex_complex _let_2 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex Ly_2) _let_1)))))) (forall ((Lx_2 $$unsorted) (Ly_2 $$unsorted) (Rx_2 $$unsorted) (Ry_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Rx_2) Ry_2))) (let ((_let_2 (tptp.hAPP_r1250527377l_real tptp.times_times_real Lx_2))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real _let_2 Ly_2)) _let_1) (tptp.hAPP_real_real _let_2 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Ly_2) _let_1)))))) (forall ((Lx_2 $$unsorted) (Ly_2 $$unsorted) (Rx_2 $$unsorted) (Ry_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Rx_2) Ry_2))) (let ((_let_2 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Lx_2))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat _let_2 Ly_2)) _let_1) (tptp.hAPP_nat_nat _let_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Ly_2) _let_1)))))) (forall ((Lx_2 $$unsorted) (Ly_2 $$unsorted) (Rx_2 $$unsorted) (Ry_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Rx_2) Ry_2))) (let ((_let_2 (tptp.hAPP_int_fun_int_int tptp.times_times_int Lx_2))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int _let_2 Ly_2)) _let_1) (tptp.hAPP_int_int _let_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Ly_2) _let_1)))))) (forall ((Lx_1 $$unsorted) (Ly_1 $$unsorted) (Rx_1 $$unsorted) (Ry_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Lx_1) Ly_1)))) (let ((_let_2 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Rx_1))) (= (tptp.hAPP_rat_rat _let_1 (tptp.hAPP_rat_rat _let_2 Ry_1)) (tptp.hAPP_rat_rat _let_2 (tptp.hAPP_rat_rat _let_1 Ry_1)))))) (forall ((Lx_1 $$unsorted) (Ly_1 $$unsorted) (Rx_1 $$unsorted) (Ry_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int Lx_1) Ly_1)))) (let ((_let_2 (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int Rx_1))) (= (tptp.hAPP_Q1762011733de_int _let_1 (tptp.hAPP_Q1762011733de_int _let_2 Ry_1)) (tptp.hAPP_Q1762011733de_int _let_2 (tptp.hAPP_Q1762011733de_int _let_1 Ry_1)))))) (forall ((Lx_1 $$unsorted) (Ly_1 $$unsorted) (Rx_1 $$unsorted) (Ry_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex Lx_1) Ly_1)))) (let ((_let_2 (tptp.hAPP_c172932010omplex tptp.times_times_complex Rx_1))) (= (tptp.hAPP_complex_complex _let_1 (tptp.hAPP_complex_complex _let_2 Ry_1)) (tptp.hAPP_complex_complex _let_2 (tptp.hAPP_complex_complex _let_1 Ry_1)))))) (forall ((Lx_1 $$unsorted) (Ly_1 $$unsorted) (Rx_1 $$unsorted) (Ry_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Lx_1) Ly_1)))) (let ((_let_2 (tptp.hAPP_r1250527377l_real tptp.times_times_real Rx_1))) (= (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real _let_2 Ry_1)) (tptp.hAPP_real_real _let_2 (tptp.hAPP_real_real _let_1 Ry_1)))))) (forall ((Lx_1 $$unsorted) (Ly_1 $$unsorted) (Rx_1 $$unsorted) (Ry_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Lx_1) Ly_1)))) (let ((_let_2 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Rx_1))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat _let_2 Ry_1)) (tptp.hAPP_nat_nat _let_2 (tptp.hAPP_nat_nat _let_1 Ry_1)))))) (forall ((Lx_1 $$unsorted) (Ly_1 $$unsorted) (Rx_1 $$unsorted) (Ry_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Lx_1) Ly_1)))) (let ((_let_2 (tptp.hAPP_int_fun_int_int tptp.times_times_int Rx_1))) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int _let_2 Ry_1)) (tptp.hAPP_int_int _let_2 (tptp.hAPP_int_int _let_1 Ry_1)))))) (forall ((Lx $$unsorted) (Ly $$unsorted) (Rx $$unsorted) (Ry $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Lx))) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat _let_1 Ly)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Rx) Ry)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat _let_1 Rx)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Ly) Ry))))) (forall ((Lx $$unsorted) (Ly $$unsorted) (Rx $$unsorted) (Ry $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int Lx))) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int (tptp.hAPP_Q1762011733de_int _let_1 Ly)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int Rx) Ry)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int (tptp.hAPP_Q1762011733de_int _let_1 Rx)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int Ly) Ry))))) (forall ((Lx $$unsorted) (Ly $$unsorted) (Rx $$unsorted) (Ry $$unsorted)) (let ((_let_1 (tptp.hAPP_c172932010omplex tptp.times_times_complex Lx))) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex _let_1 Ly)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex Rx) Ry)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex _let_1 Rx)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex Ly) Ry))))) (forall ((Lx $$unsorted) (Ly $$unsorted) (Rx $$unsorted) (Ry $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real Lx))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real _let_1 Ly)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Rx) Ry)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real _let_1 Rx)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Ly) Ry))))) (forall ((Lx $$unsorted) (Ly $$unsorted) (Rx $$unsorted) (Ry $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Lx))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat _let_1 Ly)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Rx) Ry)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat _let_1 Rx)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Ly) Ry))))) (forall ((Lx $$unsorted) (Ly $$unsorted) (Rx $$unsorted) (Ry $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int Lx))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int _let_1 Ly)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Rx) Ry)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int _let_1 Rx)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Ly) Ry))))) (forall ((Z_1 $$unsorted) (W $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Z_1) W) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int W) Z_1))) (forall ((Z1 $$unsorted) (Z2 $$unsorted) (Z3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int Z1))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int _let_1 Z2)) Z3) (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Z2) Z3))))) (forall ((V_16 $$unsorted) (W_8 $$unsorted) (Z_20 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_int_rat tptp.number_number_of_rat V_16)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_int_rat tptp.number_number_of_rat W_8)) Z_20)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_int_rat tptp.number_number_of_rat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int V_16) W_8))) Z_20))) (forall ((V_16 $$unsorted) (W_8 $$unsorted) (Z_20 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_int_complex tptp.number528085621omplex V_16)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_int_complex tptp.number528085621omplex W_8)) Z_20)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_int_complex tptp.number528085621omplex (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int V_16) W_8))) Z_20))) (forall ((V_16 $$unsorted) (W_8 $$unsorted) (Z_20 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real V_16)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real W_8)) Z_20)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int V_16) W_8))) Z_20))) (forall ((V_16 $$unsorted) (W_8 $$unsorted) (Z_20 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int V_16)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int W_8)) Z_20)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int V_16) W_8))) Z_20))) (forall ((V_15 $$unsorted) (W_7 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_int_rat tptp.number_number_of_rat V_15)) (tptp.hAPP_int_rat tptp.number_number_of_rat W_7)) (tptp.hAPP_int_rat tptp.number_number_of_rat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int V_15) W_7)))) (forall ((V_15 $$unsorted) (W_7 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_int_complex tptp.number528085621omplex V_15)) (tptp.hAPP_int_complex tptp.number528085621omplex W_7)) (tptp.hAPP_int_complex tptp.number528085621omplex (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int V_15) W_7)))) (forall ((V_15 $$unsorted) (W_7 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real V_15)) (tptp.hAPP_int_real tptp.number267125858f_real W_7)) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int V_15) W_7)))) (forall ((V_15 $$unsorted) (W_7 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int V_15)) (tptp.hAPP_int_int tptp.number_number_of_int W_7)) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int V_15) W_7)))) (forall ((V_14 $$unsorted) (W_6 $$unsorted)) (= (tptp.hAPP_int_rat tptp.number_number_of_rat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int V_14) W_6)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_int_rat tptp.number_number_of_rat V_14)) (tptp.hAPP_int_rat tptp.number_number_of_rat W_6)))) (forall ((V_14 $$unsorted) (W_6 $$unsorted)) (= (tptp.hAPP_int_complex tptp.number528085621omplex (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int V_14) W_6)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_int_complex tptp.number528085621omplex V_14)) (tptp.hAPP_int_complex tptp.number528085621omplex W_6)))) (forall ((V_14 $$unsorted) (W_6 $$unsorted)) (= (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int V_14) W_6)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real V_14)) (tptp.hAPP_int_real tptp.number267125858f_real W_6)))) (forall ((V_14 $$unsorted) (W_6 $$unsorted)) (= (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int V_14) W_6)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int V_14)) (tptp.hAPP_int_int tptp.number_number_of_int W_6)))) (forall ((M_18 $$unsorted) (N_30 $$unsorted)) (= (tptp.hAPP_nat_rat tptp.semiri151668891at_rat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_18) N_30)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_nat_rat tptp.semiri151668891at_rat M_18)) (tptp.hAPP_nat_rat tptp.semiri151668891at_rat N_30)))) (forall ((M_18 $$unsorted) (N_30 $$unsorted)) (= (tptp.hAPP_n522471361de_int tptp.semiri1424489471de_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_18) N_30)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int (tptp.hAPP_n522471361de_int tptp.semiri1424489471de_int M_18)) (tptp.hAPP_n522471361de_int tptp.semiri1424489471de_int N_30)))) (forall ((M_18 $$unsorted) (N_30 $$unsorted)) (= (tptp.hAPP_nat_complex tptp.semiri2020571505omplex (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_18) N_30)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_nat_complex tptp.semiri2020571505omplex M_18)) (tptp.hAPP_nat_complex tptp.semiri2020571505omplex N_30)))) (forall ((M_18 $$unsorted) (N_30 $$unsorted)) (= (tptp.hAPP_nat_real tptp.semiri132038758t_real (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_18) N_30)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.semiri132038758t_real M_18)) (tptp.hAPP_nat_real tptp.semiri132038758t_real N_30)))) (forall ((M_18 $$unsorted) (N_30 $$unsorted)) (= (tptp.hAPP_nat_nat tptp.semiri984289939at_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_18) N_30)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat tptp.semiri984289939at_nat M_18)) (tptp.hAPP_nat_nat tptp.semiri984289939at_nat N_30)))) (forall ((M_18 $$unsorted) (N_30 $$unsorted)) (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_18) N_30)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int M_18)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int N_30)))) (forall ((A_138 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat tptp.zero_zero_rat) A_138) tptp.zero_zero_rat)) (forall ((A_138 $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int tptp.zero_z891286103de_int) A_138) tptp.zero_z891286103de_int)) (forall ((A_138 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex tptp.zero_zero_complex) A_138) tptp.zero_zero_complex)) (forall ((A_138 $$unsorted)) (= (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral tptp.zero_z126310315umeral) A_138) tptp.zero_z126310315umeral)) (forall ((A_138 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real tptp.zero_zero_real) A_138) tptp.zero_zero_real)) (forall ((A_138 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat tptp.zero_zero_nat) A_138) tptp.zero_zero_nat)) (forall ((A_138 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int tptp.zero_zero_int) A_138) tptp.zero_zero_int)) (forall ((A_137 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_137) tptp.zero_zero_rat) tptp.zero_zero_rat)) (forall ((A_137 $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_137) tptp.zero_z891286103de_int) tptp.zero_z891286103de_int)) (forall ((A_137 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_137) tptp.zero_zero_complex) tptp.zero_zero_complex)) (forall ((A_137 $$unsorted)) (= (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_137) tptp.zero_z126310315umeral) tptp.zero_z126310315umeral)) (forall ((A_137 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_137) tptp.zero_zero_real) tptp.zero_zero_real)) (forall ((A_137 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_137) tptp.zero_zero_nat) tptp.zero_zero_nat)) (forall ((A_137 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_137) tptp.zero_zero_int) tptp.zero_zero_int)) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_1) B_1) tptp.zero_zero_rat) (or (= A_1 tptp.zero_zero_rat) (= B_1 tptp.zero_zero_rat)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_1) B_1) tptp.zero_zero_complex) (or (= A_1 tptp.zero_zero_complex) (= B_1 tptp.zero_zero_complex)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_1) B_1) tptp.zero_zero_real) (or (= A_1 tptp.zero_zero_real) (= B_1 tptp.zero_zero_real)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (=> (and (tptp.is_int A_1) (tptp.is_int B_1)) (= (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_1) B_1) tptp.zero_zero_int) (or (= A_1 tptp.zero_zero_int) (= B_1 tptp.zero_zero_int))))) (forall ((B_96 $$unsorted) (A_136 $$unsorted)) (=> (not (= A_136 tptp.zero_zero_rat)) (=> (not (= B_96 tptp.zero_zero_rat)) (not (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_136) B_96) tptp.zero_zero_rat))))) (forall ((B_96 $$unsorted) (A_136 $$unsorted)) (=> (not (= A_136 tptp.zero_z891286103de_int)) (=> (not (= B_96 tptp.zero_z891286103de_int)) (not (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_136) B_96) tptp.zero_z891286103de_int))))) (forall ((B_96 $$unsorted) (A_136 $$unsorted)) (=> (not (= A_136 tptp.zero_zero_complex)) (=> (not (= B_96 tptp.zero_zero_complex)) (not (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_136) B_96) tptp.zero_zero_complex))))) (forall ((B_96 $$unsorted) (A_136 $$unsorted)) (=> (not (= A_136 tptp.zero_z126310315umeral)) (=> (not (= B_96 tptp.zero_z126310315umeral)) (not (= (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_136) B_96) tptp.zero_z126310315umeral))))) (forall ((B_96 $$unsorted) (A_136 $$unsorted)) (=> (not (= A_136 tptp.zero_zero_real)) (=> (not (= B_96 tptp.zero_zero_real)) (not (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_136) B_96) tptp.zero_zero_real))))) (forall ((B_96 $$unsorted) (A_136 $$unsorted)) (=> (not (= A_136 tptp.zero_zero_nat)) (=> (not (= B_96 tptp.zero_zero_nat)) (not (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_136) B_96) tptp.zero_zero_nat))))) (forall ((B_96 $$unsorted) (A_136 $$unsorted)) (=> (and (tptp.is_int B_96) (tptp.is_int A_136)) (=> (not (= A_136 tptp.zero_zero_int)) (=> (not (= B_96 tptp.zero_zero_int)) (not (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_136) B_96) tptp.zero_zero_int)))))) (forall ((A_135 $$unsorted) (B_95 $$unsorted)) (=> (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_135) B_95) tptp.zero_zero_rat) (or (= A_135 tptp.zero_zero_rat) (= B_95 tptp.zero_zero_rat)))) (forall ((A_135 $$unsorted) (B_95 $$unsorted)) (=> (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_135) B_95) tptp.zero_z891286103de_int) (or (= A_135 tptp.zero_z891286103de_int) (= B_95 tptp.zero_z891286103de_int)))) (forall ((A_135 $$unsorted) (B_95 $$unsorted)) (=> (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_135) B_95) tptp.zero_zero_complex) (or (= A_135 tptp.zero_zero_complex) (= B_95 tptp.zero_zero_complex)))) (forall ((A_135 $$unsorted) (B_95 $$unsorted)) (=> (= (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_135) B_95) tptp.zero_z126310315umeral) (or (= A_135 tptp.zero_z126310315umeral) (= B_95 tptp.zero_z126310315umeral)))) (forall ((A_135 $$unsorted) (B_95 $$unsorted)) (=> (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_135) B_95) tptp.zero_zero_real) (or (= A_135 tptp.zero_zero_real) (= B_95 tptp.zero_zero_real)))) (forall ((A_135 $$unsorted) (B_95 $$unsorted)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_135) B_95) tptp.zero_zero_nat) (or (= A_135 tptp.zero_zero_nat) (= B_95 tptp.zero_zero_nat)))) (forall ((A_135 $$unsorted) (B_95 $$unsorted)) (=> (and (tptp.is_int A_135) (tptp.is_int B_95)) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_135) B_95) tptp.zero_zero_int) (or (= A_135 tptp.zero_zero_int) (= B_95 tptp.zero_zero_int))))) (forall ((A_134 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat tptp.zero_zero_rat) A_134) tptp.zero_zero_rat)) (forall ((A_134 $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int tptp.zero_z891286103de_int) A_134) tptp.zero_z891286103de_int)) (forall ((A_134 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex tptp.zero_zero_complex) A_134) tptp.zero_zero_complex)) (forall ((A_134 $$unsorted)) (= (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral tptp.zero_z126310315umeral) A_134) tptp.zero_z126310315umeral)) (forall ((A_134 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real tptp.zero_zero_real) A_134) tptp.zero_zero_real)) (forall ((A_134 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat tptp.zero_zero_nat) A_134) tptp.zero_zero_nat)) (forall ((A_134 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int tptp.zero_zero_int) A_134) tptp.zero_zero_int)) (forall ((A_133 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_133) tptp.zero_zero_rat) tptp.zero_zero_rat)) (forall ((A_133 $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_133) tptp.zero_z891286103de_int) tptp.zero_z891286103de_int)) (forall ((A_133 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_133) tptp.zero_zero_complex) tptp.zero_zero_complex)) (forall ((A_133 $$unsorted)) (= (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_133) tptp.zero_z126310315umeral) tptp.zero_z126310315umeral)) (forall ((A_133 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_133) tptp.zero_zero_real) tptp.zero_zero_real)) (forall ((A_133 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_133) tptp.zero_zero_nat) tptp.zero_zero_nat)) (forall ((A_133 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_133) tptp.zero_zero_int) tptp.zero_zero_int)) (forall ((A_132 $$unsorted) (B_94 $$unsorted) (C_50 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_132) B_94)) C_50) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_132) C_50)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_94) C_50)))) (forall ((A_132 $$unsorted) (B_94 $$unsorted) (C_50 $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_132) B_94)) C_50) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_132) C_50)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int B_94) C_50)))) (forall ((A_132 $$unsorted) (B_94 $$unsorted) (C_50 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex A_132) B_94)) C_50) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_132) C_50)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex B_94) C_50)))) (forall ((A_132 $$unsorted) (B_94 $$unsorted) (C_50 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_132) B_94)) C_50) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_132) C_50)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_94) C_50)))) (forall ((A_132 $$unsorted) (B_94 $$unsorted) (C_50 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_132) B_94)) C_50) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_132) C_50)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_94) C_50)))) (forall ((A_132 $$unsorted) (B_94 $$unsorted) (C_50 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_132) B_94)) C_50) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_132) C_50)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_94) C_50)))) (forall ((A_131 $$unsorted) (E_3 $$unsorted) (B_93 $$unsorted) (C_49 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_131) E_3)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_93) E_3)) C_49)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_131) B_93)) E_3)) C_49))) (forall ((A_131 $$unsorted) (E_3 $$unsorted) (B_93 $$unsorted) (C_49 $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_131) E_3)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int B_93) E_3)) C_49)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_131) B_93)) E_3)) C_49))) (forall ((A_131 $$unsorted) (E_3 $$unsorted) (B_93 $$unsorted) (C_49 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_131) E_3)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex B_93) E_3)) C_49)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex A_131) B_93)) E_3)) C_49))) (forall ((A_131 $$unsorted) (E_3 $$unsorted) (B_93 $$unsorted) (C_49 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_131) E_3)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_93) E_3)) C_49)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_131) B_93)) E_3)) C_49))) (forall ((A_131 $$unsorted) (E_3 $$unsorted) (B_93 $$unsorted) (C_49 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_131) E_3)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_93) E_3)) C_49)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_131) B_93)) E_3)) C_49))) (forall ((A_131 $$unsorted) (E_3 $$unsorted) (B_93 $$unsorted) (C_49 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_131) E_3)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_93) E_3)) C_49)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_131) B_93)) E_3)) C_49))) (forall ((X_55 $$unsorted) (Y_47 $$unsorted) (Z_19 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat X_55))) (= (tptp.hAPP_rat_rat _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat Y_47) Z_19)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat _let_1 Y_47)) (tptp.hAPP_rat_rat _let_1 Z_19))))) (forall ((X_55 $$unsorted) (Y_47 $$unsorted) (Z_19 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int X_55))) (= (tptp.hAPP_Q1762011733de_int _let_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int Y_47) Z_19)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int (tptp.hAPP_Q1762011733de_int _let_1 Y_47)) (tptp.hAPP_Q1762011733de_int _let_1 Z_19))))) (forall ((X_55 $$unsorted) (Y_47 $$unsorted) (Z_19 $$unsorted)) (let ((_let_1 (tptp.hAPP_c172932010omplex tptp.times_times_complex X_55))) (= (tptp.hAPP_complex_complex _let_1 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex Y_47) Z_19)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex _let_1 Y_47)) (tptp.hAPP_complex_complex _let_1 Z_19))))) (forall ((X_55 $$unsorted) (Y_47 $$unsorted) (Z_19 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real X_55))) (= (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real Y_47) Z_19)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real _let_1 Y_47)) (tptp.hAPP_real_real _let_1 Z_19))))) (forall ((X_55 $$unsorted) (Y_47 $$unsorted) (Z_19 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat X_55))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Y_47) Z_19)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat _let_1 Y_47)) (tptp.hAPP_nat_nat _let_1 Z_19))))) (forall ((X_55 $$unsorted) (Y_47 $$unsorted) (Z_19 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int X_55))) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Y_47) Z_19)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_1 Y_47)) (tptp.hAPP_int_int _let_1 Z_19))))) (forall ((C $$unsorted) (D_1 $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_1))) (let ((_let_2 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_1))) (= (and (not (= A_1 B_1)) (not (= C D_1))) (not (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat _let_2 C)) (tptp.hAPP_rat_rat _let_1 D_1)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat _let_2 D_1)) (tptp.hAPP_rat_rat _let_1 C)))))))) (forall ((C $$unsorted) (D_1 $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_c172932010omplex tptp.times_times_complex B_1))) (let ((_let_2 (tptp.hAPP_c172932010omplex tptp.times_times_complex A_1))) (= (and (not (= A_1 B_1)) (not (= C D_1))) (not (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex _let_2 C)) (tptp.hAPP_complex_complex _let_1 D_1)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex _let_2 D_1)) (tptp.hAPP_complex_complex _let_1 C)))))))) (forall ((C $$unsorted) (D_1 $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real B_1))) (let ((_let_2 (tptp.hAPP_r1250527377l_real tptp.times_times_real A_1))) (= (and (not (= A_1 B_1)) (not (= C D_1))) (not (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real _let_2 C)) (tptp.hAPP_real_real _let_1 D_1)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real _let_2 D_1)) (tptp.hAPP_real_real _let_1 C)))))))) (forall ((C $$unsorted) (D_1 $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_1))) (let ((_let_2 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_1))) (= (and (not (= A_1 B_1)) (not (= C D_1))) (not (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat _let_2 C)) (tptp.hAPP_nat_nat _let_1 D_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat _let_2 D_1)) (tptp.hAPP_nat_nat _let_1 C)))))))) (forall ((C $$unsorted) (D_1 $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int B_1))) (let ((_let_2 (tptp.hAPP_int_fun_int_int tptp.times_times_int A_1))) (=> (and (tptp.is_int C) (tptp.is_int D_1) (tptp.is_int A_1) (tptp.is_int B_1)) (= (and (not (= A_1 B_1)) (not (= C D_1))) (not (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_2 C)) (tptp.hAPP_int_int _let_1 D_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_2 D_1)) (tptp.hAPP_int_int _let_1 C))))))))) (forall ((A_130 $$unsorted) (B_92 $$unsorted) (C_48 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_130) B_92)) C_48) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_130) C_48)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_92) C_48)))) (forall ((A_130 $$unsorted) (B_92 $$unsorted) (C_48 $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_130) B_92)) C_48) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_130) C_48)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int B_92) C_48)))) (forall ((A_130 $$unsorted) (B_92 $$unsorted) (C_48 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex A_130) B_92)) C_48) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_130) C_48)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex B_92) C_48)))) (forall ((A_130 $$unsorted) (B_92 $$unsorted) (C_48 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_130) B_92)) C_48) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_130) C_48)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_92) C_48)))) (forall ((A_130 $$unsorted) (B_92 $$unsorted) (C_48 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_130) B_92)) C_48) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_130) C_48)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_92) C_48)))) (forall ((A_130 $$unsorted) (B_92 $$unsorted) (C_48 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_130) B_92)) C_48) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_130) C_48)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_92) C_48)))) (forall ((A_129 $$unsorted) (M_17 $$unsorted) (B_91 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_129) M_17)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_91) M_17)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_129) B_91)) M_17))) (forall ((A_129 $$unsorted) (M_17 $$unsorted) (B_91 $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_129) M_17)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int B_91) M_17)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_129) B_91)) M_17))) (forall ((A_129 $$unsorted) (M_17 $$unsorted) (B_91 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_129) M_17)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex B_91) M_17)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex A_129) B_91)) M_17))) (forall ((A_129 $$unsorted) (M_17 $$unsorted) (B_91 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_129) M_17)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_91) M_17)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_129) B_91)) M_17))) (forall ((A_129 $$unsorted) (M_17 $$unsorted) (B_91 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_129) M_17)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_91) M_17)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_129) B_91)) M_17))) (forall ((A_129 $$unsorted) (M_17 $$unsorted) (B_91 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_129) M_17)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_91) M_17)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_129) B_91)) M_17))) (forall ((Wa $$unsorted) (Ya $$unsorted) (Xa $$unsorted) (Z_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Xa))) (let ((_let_2 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Wa))) (= (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat _let_2 Ya)) (tptp.hAPP_rat_rat _let_1 Z_2)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat _let_2 Z_2)) (tptp.hAPP_rat_rat _let_1 Ya))) (or (= Wa Xa) (= Ya Z_2)))))) (forall ((Wa $$unsorted) (Ya $$unsorted) (Xa $$unsorted) (Z_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_c172932010omplex tptp.times_times_complex Xa))) (let ((_let_2 (tptp.hAPP_c172932010omplex tptp.times_times_complex Wa))) (= (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex _let_2 Ya)) (tptp.hAPP_complex_complex _let_1 Z_2)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex _let_2 Z_2)) (tptp.hAPP_complex_complex _let_1 Ya))) (or (= Wa Xa) (= Ya Z_2)))))) (forall ((Wa $$unsorted) (Ya $$unsorted) (Xa $$unsorted) (Z_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real Xa))) (let ((_let_2 (tptp.hAPP_r1250527377l_real tptp.times_times_real Wa))) (= (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real _let_2 Ya)) (tptp.hAPP_real_real _let_1 Z_2)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real _let_2 Z_2)) (tptp.hAPP_real_real _let_1 Ya))) (or (= Wa Xa) (= Ya Z_2)))))) (forall ((Wa $$unsorted) (Ya $$unsorted) (Xa $$unsorted) (Z_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Xa))) (let ((_let_2 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Wa))) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat _let_2 Ya)) (tptp.hAPP_nat_nat _let_1 Z_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat _let_2 Z_2)) (tptp.hAPP_nat_nat _let_1 Ya))) (or (= Wa Xa) (= Ya Z_2)))))) (forall ((Wa $$unsorted) (Ya $$unsorted) (Xa $$unsorted) (Z_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int Xa))) (let ((_let_2 (tptp.hAPP_int_fun_int_int tptp.times_times_int Wa))) (=> (and (tptp.is_int Wa) (tptp.is_int Ya) (tptp.is_int Xa) (tptp.is_int Z_2)) (= (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_2 Ya)) (tptp.hAPP_int_int _let_1 Z_2)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_2 Z_2)) (tptp.hAPP_int_int _let_1 Ya))) (or (= Wa Xa) (= Ya Z_2))))))) (forall ((A_128 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat tptp.one_one_rat) A_128) A_128)) (forall ((A_128 $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int tptp.one_on1684967323de_int) A_128) A_128)) (forall ((A_128 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex tptp.one_one_complex) A_128) A_128)) (forall ((A_128 $$unsorted)) (= (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral tptp.one_on1645066479umeral) A_128) A_128)) (forall ((A_128 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real tptp.one_one_real) A_128) A_128)) (forall ((A_128 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat tptp.one_one_nat) A_128) A_128)) (forall ((A_128 $$unsorted)) (=> (tptp.is_int A_128) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int tptp.one_one_int) A_128) A_128))) (forall ((A_127 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat tptp.one_one_rat) A_127) A_127)) (forall ((A_127 $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int tptp.one_on1684967323de_int) A_127) A_127)) (forall ((A_127 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex tptp.one_one_complex) A_127) A_127)) (forall ((A_127 $$unsorted)) (= (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral tptp.one_on1645066479umeral) A_127) A_127)) (forall ((A_127 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real tptp.one_one_real) A_127) A_127)) (forall ((A_127 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat tptp.one_one_nat) A_127) A_127)) (forall ((A_127 $$unsorted)) (=> (tptp.is_int A_127) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int tptp.one_one_int) A_127) A_127))) (forall ((A_126 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat tptp.one_one_rat) A_126) A_126)) (forall ((A_126 $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int tptp.one_on1684967323de_int) A_126) A_126)) (forall ((A_126 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex tptp.one_one_complex) A_126) A_126)) (forall ((A_126 $$unsorted)) (= (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral tptp.one_on1645066479umeral) A_126) A_126)) (forall ((A_126 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real tptp.one_one_real) A_126) A_126)) (forall ((A_126 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat tptp.one_one_nat) A_126) A_126)) (forall ((A_126 $$unsorted)) (=> (tptp.is_int A_126) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int tptp.one_one_int) A_126) A_126))) (forall ((A_125 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_125) tptp.one_one_rat) A_125)) (forall ((A_125 $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_125) tptp.one_on1684967323de_int) A_125)) (forall ((A_125 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_125) tptp.one_one_complex) A_125)) (forall ((A_125 $$unsorted)) (= (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_125) tptp.one_on1645066479umeral) A_125)) (forall ((A_125 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_125) tptp.one_one_real) A_125)) (forall ((A_125 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_125) tptp.one_one_nat) A_125)) (forall ((A_125 $$unsorted)) (=> (tptp.is_int A_125) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_125) tptp.one_one_int) A_125))) (forall ((A_124 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_124) tptp.one_one_rat) A_124)) (forall ((A_124 $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_124) tptp.one_on1684967323de_int) A_124)) (forall ((A_124 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_124) tptp.one_one_complex) A_124)) (forall ((A_124 $$unsorted)) (= (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_124) tptp.one_on1645066479umeral) A_124)) (forall ((A_124 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_124) tptp.one_one_real) A_124)) (forall ((A_124 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_124) tptp.one_one_nat) A_124)) (forall ((A_124 $$unsorted)) (=> (tptp.is_int A_124) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_124) tptp.one_one_int) A_124))) (forall ((A_123 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_123) tptp.one_one_rat) A_123)) (forall ((A_123 $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_123) tptp.one_on1684967323de_int) A_123)) (forall ((A_123 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_123) tptp.one_one_complex) A_123)) (forall ((A_123 $$unsorted)) (= (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_123) tptp.one_on1645066479umeral) A_123)) (forall ((A_123 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_123) tptp.one_one_real) A_123)) (forall ((A_123 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_123) tptp.one_one_nat) A_123)) (forall ((A_123 $$unsorted)) (=> (tptp.is_int A_123) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_123) tptp.one_one_int) A_123))) (forall ((A_122 $$unsorted) (N_29 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex A_122) N_29))) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex _let_1) A_122) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_122) _let_1)))) (forall ((A_122 $$unsorted) (N_29 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_122) N_29))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real _let_1) A_122) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_122) _let_1)))) (forall ((A_122 $$unsorted) (N_29 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_122) N_29))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat _let_1) A_122) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_122) _let_1)))) (forall ((A_122 $$unsorted) (N_29 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_122) N_29))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int _let_1) A_122) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_122) _let_1)))) (forall ((A_122 $$unsorted) (N_29 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_122) N_29))) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat _let_1) A_122) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_122) _let_1)))) (forall ((A_122 $$unsorted) (N_29 $$unsorted)) (let ((_let_1 (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int A_122) N_29))) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int _let_1) A_122) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_122) _let_1)))) (forall ((A_121 $$unsorted) (B_90 $$unsorted) (N_28 $$unsorted)) (= (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_121) B_90)) N_28) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex A_121) N_28)) (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex B_90) N_28)))) (forall ((A_121 $$unsorted) (B_90 $$unsorted) (N_28 $$unsorted)) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_121) B_90)) N_28) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_121) N_28)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real B_90) N_28)))) (forall ((A_121 $$unsorted) (B_90 $$unsorted) (N_28 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_121) B_90)) N_28) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_121) N_28)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat B_90) N_28)))) (forall ((A_121 $$unsorted) (B_90 $$unsorted) (N_28 $$unsorted)) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_121) B_90)) N_28) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_121) N_28)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int B_90) N_28)))) (forall ((A_121 $$unsorted) (B_90 $$unsorted) (N_28 $$unsorted)) (= (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_121) B_90)) N_28) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_121) N_28)) (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat B_90) N_28)))) (forall ((A_121 $$unsorted) (B_90 $$unsorted) (N_28 $$unsorted)) (= (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_121) B_90)) N_28) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int A_121) N_28)) (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int B_90) N_28)))) (forall ((X_54 $$unsorted) (Y_46 $$unsorted) (Q_9 $$unsorted)) (= (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex X_54) Y_46)) Q_9) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex X_54) Q_9)) (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex Y_46) Q_9)))) (forall ((X_54 $$unsorted) (Y_46 $$unsorted) (Q_9 $$unsorted)) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real X_54) Y_46)) Q_9) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X_54) Q_9)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y_46) Q_9)))) (forall ((X_54 $$unsorted) (Y_46 $$unsorted) (Q_9 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat X_54) Y_46)) Q_9) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat X_54) Q_9)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat Y_46) Q_9)))) (forall ((X_54 $$unsorted) (Y_46 $$unsorted) (Q_9 $$unsorted)) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int X_54) Y_46)) Q_9) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X_54) Q_9)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Y_46) Q_9)))) (forall ((X_54 $$unsorted) (Y_46 $$unsorted) (Q_9 $$unsorted)) (= (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat X_54) Y_46)) Q_9) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat X_54) Q_9)) (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat Y_46) Q_9)))) (forall ((X_54 $$unsorted) (Y_46 $$unsorted) (Q_9 $$unsorted)) (= (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int X_54) Y_46)) Q_9) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int X_54) Q_9)) (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int Y_46) Q_9)))) (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) tptp.zero_zero_nat)) (= Na tptp.zero_zero_nat))) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) N))) (forall ((W $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int tptp.pls) W) tptp.pls)) (forall ((K_2 $$unsorted) (L_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.bit0 K_2)) L_2) (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K_2) L_2)))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) Na)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ma) Na)) (not (= Ma Na))))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ma) Na)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) Na)) (= Ma Na)))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (=> (not (= M N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N))))) (forall ((M $$unsorted) (N $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (= M N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)))) (forall ((Z_1 $$unsorted)) (=> (tptp.is_int Z_1) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int tptp.one_one_int) Z_1) Z_1))) (forall ((Z_1 $$unsorted)) (=> (tptp.is_int Z_1) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Z_1) tptp.one_one_int) Z_1))) (forall ((W $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int W))) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Z1) Z2)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_1 Z1)) (tptp.hAPP_int_int _let_1 Z2))))) (forall ((Z1 $$unsorted) (Z2 $$unsorted) (W $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Z1) Z2)) W) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Z1) W)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Z2) W)))) (forall ((N $$unsorted) (M $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) N)))) (forall ((N $$unsorted) (M $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) M)))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ma) Na)) (exists ((K_1 $$unsorted)) (= Na (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ma) K_1))))) (forall ((K $$unsorted) (Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 Ma)) (tptp.hAPP_nat_nat _let_1 Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ma) Na))))) (forall ((M $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 J_2)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J_2) M)))))) (forall ((M $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 J_2)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) J_2)))))) (forall ((K_2 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) J_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I) K_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J_2) K_2))))) (forall ((K_2 $$unsorted) (L_2 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) J_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) L_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I) K_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J_2) L_2)))))) (forall ((M $$unsorted) (K_2 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) K_2)) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) N)))) (forall ((M $$unsorted) (K_2 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) K_2)) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)))) (forall ((M $$unsorted) (K_2 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) K_2)) N)) (not (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) N))))))) (forall ((V_1 $$unsorted) (W $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int V_1)) (tptp.hAPP_int_int tptp.number_number_of_int W)) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int V_1) W)))) (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.plus_plus_real Z_1))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) Y)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real _let_1 X)) (tptp.hAPP_real_real _let_1 Y)))))) (forall ((V_13 $$unsorted) (V_12 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 V_12)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 V_13)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_int_rat tptp.number_number_of_rat V_12)) (tptp.hAPP_int_rat tptp.number_number_of_rat V_13)) (tptp.hAPP_int_rat tptp.number_number_of_rat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int V_12) V_13))))))) (forall ((V_13 $$unsorted) (V_12 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 V_12)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 V_13)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_int_complex tptp.number528085621omplex V_12)) (tptp.hAPP_int_complex tptp.number528085621omplex V_13)) (tptp.hAPP_int_complex tptp.number528085621omplex (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int V_12) V_13))))))) (forall ((V_13 $$unsorted) (V_12 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 V_12)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 V_13)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real V_12)) (tptp.hAPP_int_real tptp.number267125858f_real V_13)) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int V_12) V_13))))))) (forall ((V_13 $$unsorted) (V_12 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 V_12)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 V_13)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat V_12)) (tptp.hAPP_int_nat tptp.number_number_of_nat V_13)) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int V_12) V_13))))))) (forall ((V_13 $$unsorted) (V_12 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.pls))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 V_12)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 V_13)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int V_12)) (tptp.hAPP_int_int tptp.number_number_of_int V_13)) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int V_12) V_13))))))) (forall ((A_120 $$unsorted)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_120) A_120)))) (forall ((A_120 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_120) A_120)))) (forall ((A_120 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_120) A_120)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat))) (= (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_1) B_1))) (or (and (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 B_1))) (and (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_1) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat B_1) tptp.zero_zero_rat))))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (= (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_1) B_1))) (or (and (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 B_1))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real B_1) tptp.zero_zero_real))))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (= (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_1) B_1))) (or (and (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_1))) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_1) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_1) tptp.zero_zero_int))))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat))) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_1) B_1)) tptp.zero_zero_rat)) (or (and (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat B_1) tptp.zero_zero_rat))) (and (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_1) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 B_1))))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_1) B_1)) tptp.zero_zero_real)) (or (and (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real B_1) tptp.zero_zero_real))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 B_1))))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_1) B_1)) tptp.zero_zero_int)) (or (and (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_1) tptp.zero_zero_int))) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_1) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_1))))))) (forall ((B_89 $$unsorted) (A_119 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 A_119)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 B_89)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_119) B_89))))))) (forall ((B_89 $$unsorted) (A_119 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 A_119)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 B_89)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_119) B_89))))))) (forall ((B_89 $$unsorted) (A_119 $$unsorted)) (let ((_let_1 (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 A_119)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 B_89)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_119) B_89))))))) (forall ((B_89 $$unsorted) (A_119 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_119)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 B_89)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_119) B_89))))))) (forall ((B_89 $$unsorted) (A_119 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_119)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_89)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_119) B_89))))))) (forall ((B_89 $$unsorted) (A_119 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_119)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_89)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_119) B_89))))))) (forall ((B_88 $$unsorted) (A_118 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A_118)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat B_88) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_118) B_88)) tptp.zero_zero_rat))))) (forall ((B_88 $$unsorted) (A_118 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) A_118)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int B_88) tptp.zero_z891286103de_int)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_118) B_88)) tptp.zero_z891286103de_int))))) (forall ((B_88 $$unsorted) (A_118 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) A_118)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral B_88) tptp.zero_z126310315umeral)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_118) B_88)) tptp.zero_z126310315umeral))))) (forall ((B_88 $$unsorted) (A_118 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A_118)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real B_88) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_118) B_88)) tptp.zero_zero_real))))) (forall ((B_88 $$unsorted) (A_118 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A_118)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat B_88) tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_118) B_88)) tptp.zero_zero_nat))))) (forall ((B_88 $$unsorted) (A_118 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) A_118)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_88) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_118) B_88)) tptp.zero_zero_int))))) (forall ((B_87 $$unsorted) (A_117 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A_117)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat B_87) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_87) A_117)) tptp.zero_zero_rat))))) (forall ((B_87 $$unsorted) (A_117 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) A_117)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int B_87) tptp.zero_z891286103de_int)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int B_87) A_117)) tptp.zero_z891286103de_int))))) (forall ((B_87 $$unsorted) (A_117 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) A_117)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral B_87) tptp.zero_z126310315umeral)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral B_87) A_117)) tptp.zero_z126310315umeral))))) (forall ((B_87 $$unsorted) (A_117 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A_117)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real B_87) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_87) A_117)) tptp.zero_zero_real))))) (forall ((B_87 $$unsorted) (A_117 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A_117)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat B_87) tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_87) A_117)) tptp.zero_zero_nat))))) (forall ((B_87 $$unsorted) (A_117 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) A_117)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_87) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_87) A_117)) tptp.zero_zero_int))))) (forall ((B_86 $$unsorted) (A_116 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_116) tptp.zero_zero_rat)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B_86)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_116) B_86)) tptp.zero_zero_rat))))) (forall ((B_86 $$unsorted) (A_116 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int A_116) tptp.zero_z891286103de_int)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) B_86)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_116) B_86)) tptp.zero_z891286103de_int))))) (forall ((B_86 $$unsorted) (A_116 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral A_116) tptp.zero_z126310315umeral)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) B_86)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_116) B_86)) tptp.zero_z126310315umeral))))) (forall ((B_86 $$unsorted) (A_116 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_116) tptp.zero_zero_real)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B_86)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_116) B_86)) tptp.zero_zero_real))))) (forall ((B_86 $$unsorted) (A_116 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_116) tptp.zero_zero_nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B_86)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_116) B_86)) tptp.zero_zero_nat))))) (forall ((B_86 $$unsorted) (A_116 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_116) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) B_86)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_116) B_86)) tptp.zero_zero_int))))) (forall ((B_85 $$unsorted) (A_115 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_115) tptp.zero_zero_rat)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat B_85) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_115) B_85)))))) (forall ((B_85 $$unsorted) (A_115 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_115) tptp.zero_zero_real)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real B_85) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_115) B_85)))))) (forall ((B_85 $$unsorted) (A_115 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_115) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_85) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_115) B_85)))))) (forall ((C_47 $$unsorted) (A_114 $$unsorted) (B_84 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_114) B_84)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C_47)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_114) C_47)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_84) C_47)))))) (forall ((C_47 $$unsorted) (A_114 $$unsorted) (B_84 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int A_114) B_84)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) C_47)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_114) C_47)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int B_84) C_47)))))) (forall ((C_47 $$unsorted) (A_114 $$unsorted) (B_84 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral A_114) B_84)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) C_47)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_114) C_47)) (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral B_84) C_47)))))) (forall ((C_47 $$unsorted) (A_114 $$unsorted) (B_84 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_114) B_84)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C_47)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_114) C_47)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_84) C_47)))))) (forall ((C_47 $$unsorted) (A_114 $$unsorted) (B_84 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_114) B_84)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C_47)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_114) C_47)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_84) C_47)))))) (forall ((C_47 $$unsorted) (A_114 $$unsorted) (B_84 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_114) B_84)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) C_47)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_114) C_47)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_84) C_47)))))) (forall ((C_46 $$unsorted) (A_113 $$unsorted) (B_83 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat C_46))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_113) B_83)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C_46)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat _let_1 A_113)) (tptp.hAPP_rat_rat _let_1 B_83))))))) (forall ((C_46 $$unsorted) (A_113 $$unsorted) (B_83 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int C_46))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int A_113) B_83)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) C_46)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int (tptp.hAPP_Q1762011733de_int _let_1 A_113)) (tptp.hAPP_Q1762011733de_int _let_1 B_83))))))) (forall ((C_46 $$unsorted) (A_113 $$unsorted) (B_83 $$unsorted)) (let ((_let_1 (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral C_46))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral A_113) B_83)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) C_46)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral (tptp.hAPP_C498520661umeral _let_1 A_113)) (tptp.hAPP_C498520661umeral _let_1 B_83))))))) (forall ((C_46 $$unsorted) (A_113 $$unsorted) (B_83 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real C_46))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_113) B_83)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C_46)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real _let_1 A_113)) (tptp.hAPP_real_real _let_1 B_83))))))) (forall ((C_46 $$unsorted) (A_113 $$unsorted) (B_83 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat C_46))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_113) B_83)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C_46)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 A_113)) (tptp.hAPP_nat_nat _let_1 B_83))))))) (forall ((C_46 $$unsorted) (A_113 $$unsorted) (B_83 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int C_46))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_113) B_83)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) C_46)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int _let_1 A_113)) (tptp.hAPP_int_int _let_1 B_83))))))) (forall ((C_45 $$unsorted) (A_112 $$unsorted) (B_82 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat C_45))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_112) B_82)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C_45)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat _let_1 A_112)) (tptp.hAPP_rat_rat _let_1 B_82))))))) (forall ((C_45 $$unsorted) (A_112 $$unsorted) (B_82 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int C_45))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int A_112) B_82)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) C_45)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int (tptp.hAPP_Q1762011733de_int _let_1 A_112)) (tptp.hAPP_Q1762011733de_int _let_1 B_82))))))) (forall ((C_45 $$unsorted) (A_112 $$unsorted) (B_82 $$unsorted)) (let ((_let_1 (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral C_45))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral A_112) B_82)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) C_45)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral (tptp.hAPP_C498520661umeral _let_1 A_112)) (tptp.hAPP_C498520661umeral _let_1 B_82))))))) (forall ((C_45 $$unsorted) (A_112 $$unsorted) (B_82 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real C_45))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_112) B_82)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C_45)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real _let_1 A_112)) (tptp.hAPP_real_real _let_1 B_82))))))) (forall ((C_45 $$unsorted) (A_112 $$unsorted) (B_82 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat C_45))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_112) B_82)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C_45)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 A_112)) (tptp.hAPP_nat_nat _let_1 B_82))))))) (forall ((C_45 $$unsorted) (A_112 $$unsorted) (B_82 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int C_45))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_112) B_82)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) C_45)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int _let_1 A_112)) (tptp.hAPP_int_int _let_1 B_82))))))) (forall ((C_44 $$unsorted) (B_81 $$unsorted) (A_111 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat B_81) A_111)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat C_44) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_111) C_44)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_81) C_44)))))) (forall ((C_44 $$unsorted) (B_81 $$unsorted) (A_111 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real B_81) A_111)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real C_44) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_111) C_44)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_81) C_44)))))) (forall ((C_44 $$unsorted) (B_81 $$unsorted) (A_111 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_81) A_111)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int C_44) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_111) C_44)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_81) C_44)))))) (forall ((C_43 $$unsorted) (B_80 $$unsorted) (A_110 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat C_43))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat B_80) A_110)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat C_43) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat _let_1 A_110)) (tptp.hAPP_rat_rat _let_1 B_80))))))) (forall ((C_43 $$unsorted) (B_80 $$unsorted) (A_110 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real C_43))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real B_80) A_110)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real C_43) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real _let_1 A_110)) (tptp.hAPP_real_real _let_1 B_80))))))) (forall ((C_43 $$unsorted) (B_80 $$unsorted) (A_110 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int C_43))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_80) A_110)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int C_43) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int _let_1 A_110)) (tptp.hAPP_int_int _let_1 B_80))))))) (forall ((C_42 $$unsorted) (D_15 $$unsorted) (A_109 $$unsorted) (B_79 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_109) B_79)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat C_42) D_15)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 A_109)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 C_42)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_109) C_42)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_79) D_15))))))))) (forall ((C_42 $$unsorted) (D_15 $$unsorted) (A_109 $$unsorted) (B_79 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int A_109) B_79)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int C_42) D_15)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 A_109)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 C_42)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_109) C_42)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int B_79) D_15))))))))) (forall ((C_42 $$unsorted) (D_15 $$unsorted) (A_109 $$unsorted) (B_79 $$unsorted)) (let ((_let_1 (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral A_109) B_79)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral C_42) D_15)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 A_109)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 C_42)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_109) C_42)) (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral B_79) D_15))))))))) (forall ((C_42 $$unsorted) (D_15 $$unsorted) (A_109 $$unsorted) (B_79 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_109) B_79)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real C_42) D_15)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_109)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 C_42)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_109) C_42)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_79) D_15))))))))) (forall ((C_42 $$unsorted) (D_15 $$unsorted) (A_109 $$unsorted) (B_79 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_109) B_79)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C_42) D_15)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_109)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 C_42)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_109) C_42)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_79) D_15))))))))) (forall ((C_42 $$unsorted) (D_15 $$unsorted) (A_109 $$unsorted) (B_79 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_109) B_79)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int C_42) D_15)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_109)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 C_42)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_109) C_42)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_79) D_15))))))))) (forall ((C_41 $$unsorted) (D_14 $$unsorted) (A_108 $$unsorted) (B_78 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_108) B_78)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat C_41) D_14)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 B_78)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 C_41)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_108) C_41)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_78) D_14))))))))) (forall ((C_41 $$unsorted) (D_14 $$unsorted) (A_108 $$unsorted) (B_78 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int A_108) B_78)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int C_41) D_14)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 B_78)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 C_41)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_108) C_41)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int B_78) D_14))))))))) (forall ((C_41 $$unsorted) (D_14 $$unsorted) (A_108 $$unsorted) (B_78 $$unsorted)) (let ((_let_1 (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral A_108) B_78)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral C_41) D_14)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 B_78)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 C_41)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_108) C_41)) (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral B_78) D_14))))))))) (forall ((C_41 $$unsorted) (D_14 $$unsorted) (A_108 $$unsorted) (B_78 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_108) B_78)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real C_41) D_14)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 B_78)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 C_41)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_108) C_41)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_78) D_14))))))))) (forall ((C_41 $$unsorted) (D_14 $$unsorted) (A_108 $$unsorted) (B_78 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_108) B_78)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C_41) D_14)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_78)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 C_41)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_108) C_41)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_78) D_14))))))))) (forall ((C_41 $$unsorted) (D_14 $$unsorted) (A_108 $$unsorted) (B_78 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_108) B_78)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int C_41) D_14)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_78)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 C_41)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_108) C_41)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_78) D_14))))))))) (forall ((B_77 $$unsorted) (A_107 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat))) (=> (or (and (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 A_107)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 B_77))) (and (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_107) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat B_77) tptp.zero_zero_rat)))) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_107) B_77)))))) (forall ((B_77 $$unsorted) (A_107 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (=> (or (and (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_107)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 B_77))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_107) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real B_77) tptp.zero_zero_real)))) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_107) B_77)))))) (forall ((B_77 $$unsorted) (A_107 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (or (and (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_107)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_77))) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_107) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_77) tptp.zero_zero_int)))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_107) B_77)))))) (forall ((B_76 $$unsorted) (A_106 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat))) (=> (or (and (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 A_106)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat B_76) tptp.zero_zero_rat))) (and (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_106) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 B_76)))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_106) B_76)) tptp.zero_zero_rat))))) (forall ((B_76 $$unsorted) (A_106 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int))) (=> (or (and (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 A_106)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int B_76) tptp.zero_z891286103de_int))) (and (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int A_106) tptp.zero_z891286103de_int)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 B_76)))) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_106) B_76)) tptp.zero_z891286103de_int))))) (forall ((B_76 $$unsorted) (A_106 $$unsorted)) (let ((_let_1 (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral))) (=> (or (and (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 A_106)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral B_76) tptp.zero_z126310315umeral))) (and (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral A_106) tptp.zero_z126310315umeral)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 B_76)))) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_106) B_76)) tptp.zero_z126310315umeral))))) (forall ((B_76 $$unsorted) (A_106 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (=> (or (and (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_106)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real B_76) tptp.zero_zero_real))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_106) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 B_76)))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_106) B_76)) tptp.zero_zero_real))))) (forall ((B_76 $$unsorted) (A_106 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat))) (=> (or (and (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_106)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat B_76) tptp.zero_zero_nat))) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_106) tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_76)))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_106) B_76)) tptp.zero_zero_nat))))) (forall ((B_76 $$unsorted) (A_106 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (or (and (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_106)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_76) tptp.zero_zero_int))) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_106) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_76)))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_106) B_76)) tptp.zero_zero_int))))) (forall ((A_105 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_105) A_105)) tptp.zero_zero_rat)))) (forall ((A_105 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_105) A_105)) tptp.zero_zero_real)))) (forall ((A_105 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_105) A_105)) tptp.zero_zero_int)))) (forall ((A_1 $$unsorted) (C $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_1) C)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_1) C))) (or (and (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_1) B_1))) (and (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat B_1) A_1)))))) (forall ((A_1 $$unsorted) (C $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_1) C)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_1) C))) (or (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_1) B_1))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real B_1) A_1)))))) (forall ((A_1 $$unsorted) (C $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_1) C)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_1) C))) (or (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) C)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) B_1))) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int C) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_1) A_1)))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat C))) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat _let_1 A_1)) (tptp.hAPP_rat_rat _let_1 B_1))) (or (and (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_1) B_1))) (and (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat B_1) A_1))))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real C))) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real _let_1 A_1)) (tptp.hAPP_real_real _let_1 B_1))) (or (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_1) B_1))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real B_1) A_1))))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int C))) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int _let_1 A_1)) (tptp.hAPP_int_int _let_1 B_1))) (or (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) C)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) B_1))) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int C) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_1) A_1))))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat C))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat _let_1 A_1)) (tptp.hAPP_rat_rat _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_1) B_1)))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real C))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real _let_1 A_1)) (tptp.hAPP_real_real _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_1) B_1)))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int C))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) C)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int _let_1 A_1)) (tptp.hAPP_int_int _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) B_1)))))) (forall ((B_75 $$unsorted) (A_104 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 A_104)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 B_75)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_104) B_75))))))) (forall ((B_75 $$unsorted) (A_104 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.zero_z891286103de_int))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 A_104)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 B_75)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_104) B_75))))))) (forall ((B_75 $$unsorted) (A_104 $$unsorted)) (let ((_let_1 (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.zero_z126310315umeral))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 A_104)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 B_75)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_104) B_75))))))) (forall ((B_75 $$unsorted) (A_104 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_104)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 B_75)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_104) B_75))))))) (forall ((B_75 $$unsorted) (A_104 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_104)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_75)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_104) B_75))))))) (forall ((B_75 $$unsorted) (A_104 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_104)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_75)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_104) B_75))))))) (forall ((B_74 $$unsorted) (A_103 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) A_103)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat B_74) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_103) B_74)) tptp.zero_zero_rat))))) (forall ((B_74 $$unsorted) (A_103 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.zero_z891286103de_int) A_103)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int B_74) tptp.zero_z891286103de_int)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_103) B_74)) tptp.zero_z891286103de_int))))) (forall ((B_74 $$unsorted) (A_103 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.zero_z126310315umeral) A_103)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral B_74) tptp.zero_z126310315umeral)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_103) B_74)) tptp.zero_z126310315umeral))))) (forall ((B_74 $$unsorted) (A_103 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) A_103)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real B_74) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_103) B_74)) tptp.zero_zero_real))))) (forall ((B_74 $$unsorted) (A_103 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) A_103)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat B_74) tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_103) B_74)) tptp.zero_zero_nat))))) (forall ((B_74 $$unsorted) (A_103 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) A_103)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_74) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_103) B_74)) tptp.zero_zero_int))))) (forall ((B_73 $$unsorted) (A_102 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) A_102)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat B_73) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_73) A_102)) tptp.zero_zero_rat))))) (forall ((B_73 $$unsorted) (A_102 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.zero_z891286103de_int) A_102)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int B_73) tptp.zero_z891286103de_int)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int B_73) A_102)) tptp.zero_z891286103de_int))))) (forall ((B_73 $$unsorted) (A_102 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.zero_z126310315umeral) A_102)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral B_73) tptp.zero_z126310315umeral)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral B_73) A_102)) tptp.zero_z126310315umeral))))) (forall ((B_73 $$unsorted) (A_102 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) A_102)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real B_73) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_73) A_102)) tptp.zero_zero_real))))) (forall ((B_73 $$unsorted) (A_102 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) A_102)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat B_73) tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_73) A_102)) tptp.zero_zero_nat))))) (forall ((B_73 $$unsorted) (A_102 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) A_102)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_73) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_73) A_102)) tptp.zero_zero_int))))) (forall ((A_101 $$unsorted) (B_72 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_101) B_72))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 A_101)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 B_72)))))) (forall ((A_101 $$unsorted) (B_72 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.zero_z891286103de_int))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_101) B_72))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 A_101)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 B_72)))))) (forall ((A_101 $$unsorted) (B_72 $$unsorted)) (let ((_let_1 (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.zero_z126310315umeral))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_101) B_72))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 A_101)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 B_72)))))) (forall ((A_101 $$unsorted) (B_72 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_101) B_72))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_101)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 B_72)))))) (forall ((A_101 $$unsorted) (B_72 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_101) B_72))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_101)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_72)))))) (forall ((A_101 $$unsorted) (B_72 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_101) B_72))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_101)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_72)))))) (forall ((B_71 $$unsorted) (A_100 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_71) A_100))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 A_100)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 B_71)))))) (forall ((B_71 $$unsorted) (A_100 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.zero_z891286103de_int))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int B_71) A_100))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 A_100)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 B_71)))))) (forall ((B_71 $$unsorted) (A_100 $$unsorted)) (let ((_let_1 (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.zero_z126310315umeral))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral B_71) A_100))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 A_100)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 B_71)))))) (forall ((B_71 $$unsorted) (A_100 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_71) A_100))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_100)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 B_71)))))) (forall ((B_71 $$unsorted) (A_100 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_71) A_100))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_100)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_71)))))) (forall ((B_71 $$unsorted) (A_100 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_71) A_100))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_100)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_71)))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat C))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat _let_1 A_1)) (tptp.hAPP_rat_rat _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat B_1) A_1)))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real C))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real _let_1 A_1)) (tptp.hAPP_real_real _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real B_1) A_1)))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int C))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int C) tptp.zero_zero_int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int _let_1 A_1)) (tptp.hAPP_int_int _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_1) A_1)))))) (forall ((B_70 $$unsorted) (A_99 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_99) tptp.zero_zero_rat)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) B_70)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_99) B_70)) tptp.zero_zero_rat))))) (forall ((B_70 $$unsorted) (A_99 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_99) tptp.zero_z891286103de_int)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.zero_z891286103de_int) B_70)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_99) B_70)) tptp.zero_z891286103de_int))))) (forall ((B_70 $$unsorted) (A_99 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral A_99) tptp.zero_z126310315umeral)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.zero_z126310315umeral) B_70)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_99) B_70)) tptp.zero_z126310315umeral))))) (forall ((B_70 $$unsorted) (A_99 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_99) tptp.zero_zero_real)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) B_70)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_99) B_70)) tptp.zero_zero_real))))) (forall ((B_70 $$unsorted) (A_99 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_99) tptp.zero_zero_nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) B_70)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_99) B_70)) tptp.zero_zero_nat))))) (forall ((B_70 $$unsorted) (A_99 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_99) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_70)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_99) B_70)) tptp.zero_zero_int))))) (forall ((B_69 $$unsorted) (A_98 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_98) tptp.zero_zero_rat)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat B_69) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_98) B_69)))))) (forall ((B_69 $$unsorted) (A_98 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_98) tptp.zero_zero_real)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real B_69) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_98) B_69)))))) (forall ((B_69 $$unsorted) (A_98 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_98) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_69) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_98) B_69)))))) (forall ((C_40 $$unsorted) (A_97 $$unsorted) (B_68 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_97) B_68)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) C_40)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_97) C_40)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_68) C_40)))))) (forall ((C_40 $$unsorted) (A_97 $$unsorted) (B_68 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_97) B_68)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.zero_z891286103de_int) C_40)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_97) C_40)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int B_68) C_40)))))) (forall ((C_40 $$unsorted) (A_97 $$unsorted) (B_68 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral A_97) B_68)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.zero_z126310315umeral) C_40)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_97) C_40)) (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral B_68) C_40)))))) (forall ((C_40 $$unsorted) (A_97 $$unsorted) (B_68 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_97) B_68)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) C_40)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_97) C_40)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_68) C_40)))))) (forall ((C_40 $$unsorted) (A_97 $$unsorted) (B_68 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_97) B_68)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) C_40)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_97) C_40)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_68) C_40)))))) (forall ((C_40 $$unsorted) (A_97 $$unsorted) (B_68 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_97) B_68)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) C_40)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_97) C_40)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_68) C_40)))))) (forall ((C_39 $$unsorted) (A_96 $$unsorted) (B_67 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat C_39))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_96) B_67)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) C_39)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat _let_1 A_96)) (tptp.hAPP_rat_rat _let_1 B_67))))))) (forall ((C_39 $$unsorted) (A_96 $$unsorted) (B_67 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int C_39))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_96) B_67)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.zero_z891286103de_int) C_39)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int _let_1 A_96)) (tptp.hAPP_Q1762011733de_int _let_1 B_67))))))) (forall ((C_39 $$unsorted) (A_96 $$unsorted) (B_67 $$unsorted)) (let ((_let_1 (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral C_39))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral A_96) B_67)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.zero_z126310315umeral) C_39)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral (tptp.hAPP_C498520661umeral _let_1 A_96)) (tptp.hAPP_C498520661umeral _let_1 B_67))))))) (forall ((C_39 $$unsorted) (A_96 $$unsorted) (B_67 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real C_39))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_96) B_67)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) C_39)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real _let_1 A_96)) (tptp.hAPP_real_real _let_1 B_67))))))) (forall ((C_39 $$unsorted) (A_96 $$unsorted) (B_67 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat C_39))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_96) B_67)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) C_39)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 A_96)) (tptp.hAPP_nat_nat _let_1 B_67))))))) (forall ((C_39 $$unsorted) (A_96 $$unsorted) (B_67 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int C_39))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_96) B_67)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) C_39)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int _let_1 A_96)) (tptp.hAPP_int_int _let_1 B_67))))))) (forall ((C_38 $$unsorted) (A_95 $$unsorted) (B_66 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat C_38))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_95) B_66)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) C_38)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat _let_1 A_95)) (tptp.hAPP_rat_rat _let_1 B_66))))))) (forall ((C_38 $$unsorted) (A_95 $$unsorted) (B_66 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int C_38))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_95) B_66)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.zero_z891286103de_int) C_38)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int _let_1 A_95)) (tptp.hAPP_Q1762011733de_int _let_1 B_66))))))) (forall ((C_38 $$unsorted) (A_95 $$unsorted) (B_66 $$unsorted)) (let ((_let_1 (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral C_38))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral A_95) B_66)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.zero_z126310315umeral) C_38)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral (tptp.hAPP_C498520661umeral _let_1 A_95)) (tptp.hAPP_C498520661umeral _let_1 B_66))))))) (forall ((C_38 $$unsorted) (A_95 $$unsorted) (B_66 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real C_38))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_95) B_66)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) C_38)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real _let_1 A_95)) (tptp.hAPP_real_real _let_1 B_66))))))) (forall ((C_38 $$unsorted) (A_95 $$unsorted) (B_66 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat C_38))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_95) B_66)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) C_38)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 A_95)) (tptp.hAPP_nat_nat _let_1 B_66))))))) (forall ((C_38 $$unsorted) (A_95 $$unsorted) (B_66 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int C_38))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_95) B_66)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) C_38)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int _let_1 A_95)) (tptp.hAPP_int_int _let_1 B_66))))))) (forall ((C_37 $$unsorted) (B_65 $$unsorted) (A_94 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat B_65) A_94)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat C_37) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_94) C_37)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_65) C_37)))))) (forall ((C_37 $$unsorted) (B_65 $$unsorted) (A_94 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real B_65) A_94)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real C_37) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_94) C_37)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_65) C_37)))))) (forall ((C_37 $$unsorted) (B_65 $$unsorted) (A_94 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_65) A_94)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int C_37) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_94) C_37)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_65) C_37)))))) (forall ((C_36 $$unsorted) (B_64 $$unsorted) (A_93 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat C_36))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat B_64) A_93)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat C_36) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat _let_1 A_93)) (tptp.hAPP_rat_rat _let_1 B_64))))))) (forall ((C_36 $$unsorted) (B_64 $$unsorted) (A_93 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real C_36))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real B_64) A_93)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real C_36) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real _let_1 A_93)) (tptp.hAPP_real_real _let_1 B_64))))))) (forall ((C_36 $$unsorted) (B_64 $$unsorted) (A_93 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int C_36))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_64) A_93)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int C_36) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int _let_1 A_93)) (tptp.hAPP_int_int _let_1 B_64))))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Xa) Xa)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Ya) Ya)) tptp.zero_zero_rat) (and (= Xa tptp.zero_zero_rat) (= Ya tptp.zero_zero_rat)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Xa) Xa)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Ya) Ya)) tptp.zero_zero_real) (and (= Xa tptp.zero_zero_real) (= Ya tptp.zero_zero_real)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (and (tptp.is_int Xa) (tptp.is_int Ya)) (= (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Xa) Xa)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Ya) Ya)) tptp.zero_zero_int) (and (= Xa tptp.zero_zero_int) (= Ya tptp.zero_zero_int))))) (forall ((C_35 $$unsorted) (D_13 $$unsorted) (A_92 $$unsorted) (B_63 $$unsorted) (R_6 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat R_6))) (=> (not (= R_6 tptp.zero_zero_rat)) (=> (and (= A_92 B_63) (not (= C_35 D_13))) (not (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_92) (tptp.hAPP_rat_rat _let_1 C_35)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat B_63) (tptp.hAPP_rat_rat _let_1 D_13)))))))) (forall ((C_35 $$unsorted) (D_13 $$unsorted) (A_92 $$unsorted) (B_63 $$unsorted) (R_6 $$unsorted)) (let ((_let_1 (tptp.hAPP_c172932010omplex tptp.times_times_complex R_6))) (=> (not (= R_6 tptp.zero_zero_complex)) (=> (and (= A_92 B_63) (not (= C_35 D_13))) (not (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex A_92) (tptp.hAPP_complex_complex _let_1 C_35)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex B_63) (tptp.hAPP_complex_complex _let_1 D_13)))))))) (forall ((C_35 $$unsorted) (D_13 $$unsorted) (A_92 $$unsorted) (B_63 $$unsorted) (R_6 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real R_6))) (=> (not (= R_6 tptp.zero_zero_real)) (=> (and (= A_92 B_63) (not (= C_35 D_13))) (not (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_92) (tptp.hAPP_real_real _let_1 C_35)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real B_63) (tptp.hAPP_real_real _let_1 D_13)))))))) (forall ((C_35 $$unsorted) (D_13 $$unsorted) (A_92 $$unsorted) (B_63 $$unsorted) (R_6 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat R_6))) (=> (not (= R_6 tptp.zero_zero_nat)) (=> (and (= A_92 B_63) (not (= C_35 D_13))) (not (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_92) (tptp.hAPP_nat_nat _let_1 C_35)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_63) (tptp.hAPP_nat_nat _let_1 D_13)))))))) (forall ((C_35 $$unsorted) (D_13 $$unsorted) (A_92 $$unsorted) (B_63 $$unsorted) (R_6 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int R_6))) (=> (and (tptp.is_int C_35) (tptp.is_int D_13) (tptp.is_int R_6)) (=> (not (= R_6 tptp.zero_zero_int)) (=> (and (= A_92 B_63) (not (= C_35 D_13))) (not (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_92) (tptp.hAPP_int_int _let_1 C_35)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_63) (tptp.hAPP_int_int _let_1 D_13))))))))) (forall ((N_27 $$unsorted) (M_16 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.one_one_rat))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 M_16)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 N_27)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat M_16) N_27))))))) (forall ((N_27 $$unsorted) (M_16 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.one_on1684967323de_int))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 M_16)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 N_27)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int M_16) N_27))))))) (forall ((N_27 $$unsorted) (M_16 $$unsorted)) (let ((_let_1 (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.one_on1645066479umeral))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 M_16)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 N_27)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral M_16) N_27))))))) (forall ((N_27 $$unsorted) (M_16 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 M_16)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 N_27)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real M_16) N_27))))))) (forall ((N_27 $$unsorted) (M_16 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.one_one_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M_16)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N_27)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_16) N_27))))))) (forall ((N_27 $$unsorted) (M_16 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 M_16)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 N_27)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int M_16) N_27))))))) (forall ((V_11 $$unsorted) (B_62 $$unsorted) (C_34 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_int_rat tptp.number_number_of_rat V_11)))) (= (tptp.hAPP_rat_rat _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat B_62) C_34)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat _let_1 B_62)) (tptp.hAPP_rat_rat _let_1 C_34))))) (forall ((V_11 $$unsorted) (B_62 $$unsorted) (C_34 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int (tptp.hAPP_i1732201573de_int tptp.number1226105091de_int V_11)))) (= (tptp.hAPP_Q1762011733de_int _let_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int B_62) C_34)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int (tptp.hAPP_Q1762011733de_int _let_1 B_62)) (tptp.hAPP_Q1762011733de_int _let_1 C_34))))) (forall ((V_11 $$unsorted) (B_62 $$unsorted) (C_34 $$unsorted)) (let ((_let_1 (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_int_complex tptp.number528085621omplex V_11)))) (= (tptp.hAPP_complex_complex _let_1 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex B_62) C_34)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex _let_1 B_62)) (tptp.hAPP_complex_complex _let_1 C_34))))) (forall ((V_11 $$unsorted) (B_62 $$unsorted) (C_34 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real V_11)))) (= (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real B_62) C_34)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real _let_1 B_62)) (tptp.hAPP_real_real _let_1 C_34))))) (forall ((V_11 $$unsorted) (B_62 $$unsorted) (C_34 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat V_11)))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_62) C_34)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat _let_1 B_62)) (tptp.hAPP_nat_nat _let_1 C_34))))) (forall ((V_11 $$unsorted) (B_62 $$unsorted) (C_34 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int V_11)))) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_62) C_34)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_1 B_62)) (tptp.hAPP_int_int _let_1 C_34))))) (forall ((V_11 $$unsorted) (B_62 $$unsorted) (C_34 $$unsorted)) (let ((_let_1 (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral (tptp.hAPP_i769753017umeral tptp.number1443263063umeral V_11)))) (= (tptp.hAPP_C498520661umeral _let_1 (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral B_62) C_34)) (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral (tptp.hAPP_C498520661umeral _let_1 B_62)) (tptp.hAPP_C498520661umeral _let_1 C_34))))) (forall ((A_91 $$unsorted) (B_61 $$unsorted) (V_10 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_rat tptp.number_number_of_rat V_10))) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_91) B_61)) _let_1) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_91) _let_1)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_61) _let_1))))) (forall ((A_91 $$unsorted) (B_61 $$unsorted) (V_10 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1732201573de_int tptp.number1226105091de_int V_10))) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_91) B_61)) _let_1) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_91) _let_1)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int B_61) _let_1))))) (forall ((A_91 $$unsorted) (B_61 $$unsorted) (V_10 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_complex tptp.number528085621omplex V_10))) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex A_91) B_61)) _let_1) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_91) _let_1)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex B_61) _let_1))))) (forall ((A_91 $$unsorted) (B_61 $$unsorted) (V_10 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_real tptp.number267125858f_real V_10))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_91) B_61)) _let_1) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_91) _let_1)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_61) _let_1))))) (forall ((A_91 $$unsorted) (B_61 $$unsorted) (V_10 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat V_10))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_91) B_61)) _let_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_91) _let_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_61) _let_1))))) (forall ((A_91 $$unsorted) (B_61 $$unsorted) (V_10 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int V_10))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_91) B_61)) _let_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_91) _let_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_61) _let_1))))) (forall ((A_91 $$unsorted) (B_61 $$unsorted) (V_10 $$unsorted)) (let ((_let_1 (tptp.hAPP_i769753017umeral tptp.number1443263063umeral V_10))) (= (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral A_91) B_61)) _let_1) (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_91) _let_1)) (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral B_61) _let_1))))) (forall ((M_15 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat M_15) M_15) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) tptp.one_one_rat)) M_15))) (forall ((M_15 $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int M_15) M_15) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int tptp.one_on1684967323de_int) tptp.one_on1684967323de_int)) M_15))) (forall ((M_15 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex M_15) M_15) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex tptp.one_one_complex) tptp.one_one_complex)) M_15))) (forall ((M_15 $$unsorted)) (= (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral M_15) M_15) (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral tptp.one_on1645066479umeral) tptp.one_on1645066479umeral)) M_15))) (forall ((M_15 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real M_15) M_15) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.one_one_real) tptp.one_one_real)) M_15))) (forall ((M_15 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_15) M_15) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) tptp.one_one_nat)) M_15))) (forall ((M_15 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int M_15) M_15) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) tptp.one_one_int)) M_15))) (forall ((M_14 $$unsorted) (A_90 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat M_14) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_90) M_14)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_90) tptp.one_one_rat)) M_14))) (forall ((M_14 $$unsorted) (A_90 $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int M_14) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_90) M_14)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_90) tptp.one_on1684967323de_int)) M_14))) (forall ((M_14 $$unsorted) (A_90 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex M_14) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_90) M_14)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex A_90) tptp.one_one_complex)) M_14))) (forall ((M_14 $$unsorted) (A_90 $$unsorted)) (= (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral M_14) (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_90) M_14)) (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral A_90) tptp.one_on1645066479umeral)) M_14))) (forall ((M_14 $$unsorted) (A_90 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real M_14) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_90) M_14)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_90) tptp.one_one_real)) M_14))) (forall ((M_14 $$unsorted) (A_90 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_14) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_90) M_14)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_90) tptp.one_one_nat)) M_14))) (forall ((M_14 $$unsorted) (A_90 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int M_14) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_90) M_14)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_90) tptp.one_one_int)) M_14))) (forall ((A_89 $$unsorted) (M_13 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_89) M_13)) M_13) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_89) tptp.one_one_rat)) M_13))) (forall ((A_89 $$unsorted) (M_13 $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_89) M_13)) M_13) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int A_89) tptp.one_on1684967323de_int)) M_13))) (forall ((A_89 $$unsorted) (M_13 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_89) M_13)) M_13) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex A_89) tptp.one_one_complex)) M_13))) (forall ((A_89 $$unsorted) (M_13 $$unsorted)) (= (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_89) M_13)) M_13) (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral A_89) tptp.one_on1645066479umeral)) M_13))) (forall ((A_89 $$unsorted) (M_13 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_89) M_13)) M_13) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_89) tptp.one_one_real)) M_13))) (forall ((A_89 $$unsorted) (M_13 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_89) M_13)) M_13) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_89) tptp.one_one_nat)) M_13))) (forall ((A_89 $$unsorted) (M_13 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_89) M_13)) M_13) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_89) tptp.one_one_int)) M_13))) (forall ((A_88 $$unsorted) (M_12 $$unsorted) (N_26 $$unsorted)) (let ((_let_1 (tptp.hAPP_c1088319240omplex tptp.power_power_complex A_88))) (= (tptp.hAPP_nat_complex _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_12) N_26)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_nat_complex _let_1 M_12)) (tptp.hAPP_nat_complex _let_1 N_26))))) (forall ((A_88 $$unsorted) (M_12 $$unsorted) (N_26 $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real A_88))) (= (tptp.hAPP_nat_real _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_12) N_26)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real _let_1 M_12)) (tptp.hAPP_nat_real _let_1 N_26))))) (forall ((A_88 $$unsorted) (M_12 $$unsorted) (N_26 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_88))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_12) N_26)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat _let_1 M_12)) (tptp.hAPP_nat_nat _let_1 N_26))))) (forall ((A_88 $$unsorted) (M_12 $$unsorted) (N_26 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_88))) (= (tptp.hAPP_nat_int _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_12) N_26)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_nat_int _let_1 M_12)) (tptp.hAPP_nat_int _let_1 N_26))))) (forall ((A_88 $$unsorted) (M_12 $$unsorted) (N_26 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_88))) (= (tptp.hAPP_nat_rat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_12) N_26)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_nat_rat _let_1 M_12)) (tptp.hAPP_nat_rat _let_1 N_26))))) (forall ((A_88 $$unsorted) (M_12 $$unsorted) (N_26 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int A_88))) (= (tptp.hAPP_n522471361de_int _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_12) N_26)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int (tptp.hAPP_n522471361de_int _let_1 M_12)) (tptp.hAPP_n522471361de_int _let_1 N_26))))) (forall ((X_53 $$unsorted) (P_7 $$unsorted) (Q_8 $$unsorted)) (let ((_let_1 (tptp.hAPP_c1088319240omplex tptp.power_power_complex X_53))) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_nat_complex _let_1 P_7)) (tptp.hAPP_nat_complex _let_1 Q_8)) (tptp.hAPP_nat_complex _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat P_7) Q_8))))) (forall ((X_53 $$unsorted) (P_7 $$unsorted) (Q_8 $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real X_53))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real _let_1 P_7)) (tptp.hAPP_nat_real _let_1 Q_8)) (tptp.hAPP_nat_real _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat P_7) Q_8))))) (forall ((X_53 $$unsorted) (P_7 $$unsorted) (Q_8 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat X_53))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat _let_1 P_7)) (tptp.hAPP_nat_nat _let_1 Q_8)) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat P_7) Q_8))))) (forall ((X_53 $$unsorted) (P_7 $$unsorted) (Q_8 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_nat_int tptp.power_power_int X_53))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_nat_int _let_1 P_7)) (tptp.hAPP_nat_int _let_1 Q_8)) (tptp.hAPP_nat_int _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat P_7) Q_8))))) (forall ((X_53 $$unsorted) (P_7 $$unsorted) (Q_8 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat X_53))) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_nat_rat _let_1 P_7)) (tptp.hAPP_nat_rat _let_1 Q_8)) (tptp.hAPP_nat_rat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat P_7) Q_8))))) (forall ((X_53 $$unsorted) (P_7 $$unsorted) (Q_8 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int X_53))) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int (tptp.hAPP_n522471361de_int _let_1 P_7)) (tptp.hAPP_n522471361de_int _let_1 Q_8)) (tptp.hAPP_n522471361de_int _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat P_7) Q_8))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) B_2))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_2)))))) (forall ((K_2 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int K_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int I) J_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) K_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int _let_1 I)) (tptp.hAPP_int_int _let_1 J_2))))))) (forall ((Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Y)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int X) Y))))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int Xa)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Ya))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Xa) Ya)))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int Ma)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ma) Na)))) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_nat_int tptp.power_power_int X))) (= (tptp.hAPP_nat_int _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Y) Z_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_nat_int _let_1 Y)) (tptp.hAPP_nat_int _let_1 Z_1))))) (forall ((X_52 $$unsorted) (N_25 $$unsorted)) (let ((_let_1 (tptp.hAPP_c1088319240omplex tptp.power_power_complex X_52))) (let ((_let_2 (tptp.hAPP_nat_complex _let_1 N_25))) (= (tptp.hAPP_nat_complex _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) N_25)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex _let_2) _let_2))))) (forall ((X_52 $$unsorted) (N_25 $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real X_52))) (let ((_let_2 (tptp.hAPP_nat_real _let_1 N_25))) (= (tptp.hAPP_nat_real _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) N_25)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real _let_2) _let_2))))) (forall ((X_52 $$unsorted) (N_25 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat X_52))) (let ((_let_2 (tptp.hAPP_nat_nat _let_1 N_25))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) N_25)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat _let_2) _let_2))))) (forall ((X_52 $$unsorted) (N_25 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_nat_int tptp.power_power_int X_52))) (let ((_let_2 (tptp.hAPP_nat_int _let_1 N_25))) (= (tptp.hAPP_nat_int _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) N_25)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int _let_2) _let_2))))) (forall ((X_52 $$unsorted) (N_25 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat X_52))) (let ((_let_2 (tptp.hAPP_nat_rat _let_1 N_25))) (= (tptp.hAPP_nat_rat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) N_25)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat _let_2) _let_2))))) (forall ((X_52 $$unsorted) (N_25 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int X_52))) (let ((_let_2 (tptp.hAPP_n522471361de_int _let_1 N_25))) (= (tptp.hAPP_n522471361de_int _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) N_25)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int _let_2) _let_2))))) (forall ((C_33 $$unsorted) (A_87 $$unsorted) (B_60 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat C_33))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat _let_1 A_87)) (tptp.hAPP_rat_rat _let_1 B_60))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) C_33)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_87) B_60)))))) (forall ((C_33 $$unsorted) (A_87 $$unsorted) (B_60 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int C_33))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int (tptp.hAPP_Q1762011733de_int _let_1 A_87)) (tptp.hAPP_Q1762011733de_int _let_1 B_60))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.zero_z891286103de_int) C_33)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int A_87) B_60)))))) (forall ((C_33 $$unsorted) (A_87 $$unsorted) (B_60 $$unsorted)) (let ((_let_1 (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral C_33))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral (tptp.hAPP_C498520661umeral _let_1 A_87)) (tptp.hAPP_C498520661umeral _let_1 B_60))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.zero_z126310315umeral) C_33)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral A_87) B_60)))))) (forall ((C_33 $$unsorted) (A_87 $$unsorted) (B_60 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real C_33))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real _let_1 A_87)) (tptp.hAPP_real_real _let_1 B_60))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) C_33)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_87) B_60)))))) (forall ((C_33 $$unsorted) (A_87 $$unsorted) (B_60 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat C_33))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 A_87)) (tptp.hAPP_nat_nat _let_1 B_60))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) C_33)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_87) B_60)))))) (forall ((C_33 $$unsorted) (A_87 $$unsorted) (B_60 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int C_33))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int _let_1 A_87)) (tptp.hAPP_int_int _let_1 B_60))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) C_33)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_87) B_60)))))) (forall ((A_86 $$unsorted) (C_32 $$unsorted) (B_59 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_86) C_32)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_59) C_32))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) C_32)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_86) B_59))))) (forall ((A_86 $$unsorted) (C_32 $$unsorted) (B_59 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_86) C_32)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int B_59) C_32))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.zero_z891286103de_int) C_32)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int A_86) B_59))))) (forall ((A_86 $$unsorted) (C_32 $$unsorted) (B_59 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_86) C_32)) (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral B_59) C_32))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.zero_z126310315umeral) C_32)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral A_86) B_59))))) (forall ((A_86 $$unsorted) (C_32 $$unsorted) (B_59 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_86) C_32)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_59) C_32))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) C_32)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_86) B_59))))) (forall ((A_86 $$unsorted) (C_32 $$unsorted) (B_59 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_86) C_32)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_59) C_32))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) C_32)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_86) B_59))))) (forall ((A_86 $$unsorted) (C_32 $$unsorted) (B_59 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_86) C_32)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_59) C_32))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) C_32)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_86) B_59))))) (forall ((C_31 $$unsorted) (A_85 $$unsorted) (B_58 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat C_31))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat _let_1 A_85)) (tptp.hAPP_rat_rat _let_1 B_58))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C_31)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_85) B_58)))))) (forall ((C_31 $$unsorted) (A_85 $$unsorted) (B_58 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int C_31))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int _let_1 A_85)) (tptp.hAPP_Q1762011733de_int _let_1 B_58))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) C_31)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_85) B_58)))))) (forall ((C_31 $$unsorted) (A_85 $$unsorted) (B_58 $$unsorted)) (let ((_let_1 (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral C_31))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral (tptp.hAPP_C498520661umeral _let_1 A_85)) (tptp.hAPP_C498520661umeral _let_1 B_58))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) C_31)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral A_85) B_58)))))) (forall ((C_31 $$unsorted) (A_85 $$unsorted) (B_58 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real C_31))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real _let_1 A_85)) (tptp.hAPP_real_real _let_1 B_58))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C_31)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_85) B_58)))))) (forall ((C_31 $$unsorted) (A_85 $$unsorted) (B_58 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat C_31))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 A_85)) (tptp.hAPP_nat_nat _let_1 B_58))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C_31)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_85) B_58)))))) (forall ((C_31 $$unsorted) (A_85 $$unsorted) (B_58 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int C_31))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int _let_1 A_85)) (tptp.hAPP_int_int _let_1 B_58))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) C_31)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_85) B_58)))))) (forall ((C_30 $$unsorted) (A_84 $$unsorted) (B_57 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat C_30))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat _let_1 A_84)) (tptp.hAPP_rat_rat _let_1 B_57))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C_30)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_84) B_57)))))) (forall ((C_30 $$unsorted) (A_84 $$unsorted) (B_57 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int C_30))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int _let_1 A_84)) (tptp.hAPP_Q1762011733de_int _let_1 B_57))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) C_30)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_84) B_57)))))) (forall ((C_30 $$unsorted) (A_84 $$unsorted) (B_57 $$unsorted)) (let ((_let_1 (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral C_30))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral (tptp.hAPP_C498520661umeral _let_1 A_84)) (tptp.hAPP_C498520661umeral _let_1 B_57))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) C_30)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral A_84) B_57)))))) (forall ((C_30 $$unsorted) (A_84 $$unsorted) (B_57 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real C_30))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real _let_1 A_84)) (tptp.hAPP_real_real _let_1 B_57))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C_30)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_84) B_57)))))) (forall ((C_30 $$unsorted) (A_84 $$unsorted) (B_57 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat C_30))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 A_84)) (tptp.hAPP_nat_nat _let_1 B_57))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C_30)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_84) B_57)))))) (forall ((C_30 $$unsorted) (A_84 $$unsorted) (B_57 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int C_30))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int _let_1 A_84)) (tptp.hAPP_int_int _let_1 B_57))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) C_30)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_84) B_57)))))) (forall ((A_83 $$unsorted) (C_29 $$unsorted) (B_56 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_83) C_29)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_56) C_29))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C_29)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_83) B_56))))) (forall ((A_83 $$unsorted) (C_29 $$unsorted) (B_56 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_83) C_29)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int B_56) C_29))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) C_29)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_83) B_56))))) (forall ((A_83 $$unsorted) (C_29 $$unsorted) (B_56 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_83) C_29)) (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral B_56) C_29))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) C_29)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral A_83) B_56))))) (forall ((A_83 $$unsorted) (C_29 $$unsorted) (B_56 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_83) C_29)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_56) C_29))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C_29)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_83) B_56))))) (forall ((A_83 $$unsorted) (C_29 $$unsorted) (B_56 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_83) C_29)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_56) C_29))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C_29)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_83) B_56))))) (forall ((A_83 $$unsorted) (C_29 $$unsorted) (B_56 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_83) C_29)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_56) C_29))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) C_29)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_83) B_56))))) (forall ((A_82 $$unsorted) (C_28 $$unsorted) (B_55 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_82) C_28)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_55) C_28))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C_28)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_82) B_55))))) (forall ((A_82 $$unsorted) (C_28 $$unsorted) (B_55 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_82) C_28)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int B_55) C_28))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) C_28)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_82) B_55))))) (forall ((A_82 $$unsorted) (C_28 $$unsorted) (B_55 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_82) C_28)) (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral B_55) C_28))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) C_28)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral A_82) B_55))))) (forall ((A_82 $$unsorted) (C_28 $$unsorted) (B_55 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_82) C_28)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_55) C_28))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C_28)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_82) B_55))))) (forall ((A_82 $$unsorted) (C_28 $$unsorted) (B_55 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_82) C_28)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_55) C_28))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C_28)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_82) B_55))))) (forall ((A_82 $$unsorted) (C_28 $$unsorted) (B_55 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_82) C_28)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_55) C_28))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) C_28)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_82) B_55))))) (forall ((C_27 $$unsorted) (D_12 $$unsorted) (A_81 $$unsorted) (B_54 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_81) B_54)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat C_27) D_12)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) A_81)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C_27)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_81) C_27)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_54) D_12)))))))) (forall ((C_27 $$unsorted) (D_12 $$unsorted) (A_81 $$unsorted) (B_54 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int A_81) B_54)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int C_27) D_12)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.zero_z891286103de_int) A_81)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) C_27)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_81) C_27)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int B_54) D_12)))))))) (forall ((C_27 $$unsorted) (D_12 $$unsorted) (A_81 $$unsorted) (B_54 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral A_81) B_54)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral C_27) D_12)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.zero_z126310315umeral) A_81)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) C_27)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_81) C_27)) (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral B_54) D_12)))))))) (forall ((C_27 $$unsorted) (D_12 $$unsorted) (A_81 $$unsorted) (B_54 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_81) B_54)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real C_27) D_12)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) A_81)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C_27)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_81) C_27)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_54) D_12)))))))) (forall ((C_27 $$unsorted) (D_12 $$unsorted) (A_81 $$unsorted) (B_54 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_81) B_54)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat C_27) D_12)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) A_81)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C_27)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_81) C_27)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_54) D_12)))))))) (forall ((C_27 $$unsorted) (D_12 $$unsorted) (A_81 $$unsorted) (B_54 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_81) B_54)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int C_27) D_12)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) A_81)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) C_27)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_81) C_27)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_54) D_12)))))))) (forall ((C_26 $$unsorted) (D_11 $$unsorted) (A_80 $$unsorted) (B_53 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_80) B_53)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat C_26) D_11)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A_80)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) C_26)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_80) C_26)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_53) D_11)))))))) (forall ((C_26 $$unsorted) (D_11 $$unsorted) (A_80 $$unsorted) (B_53 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_80) B_53)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int C_26) D_11)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) A_80)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.zero_z891286103de_int) C_26)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_80) C_26)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int B_53) D_11)))))))) (forall ((C_26 $$unsorted) (D_11 $$unsorted) (A_80 $$unsorted) (B_53 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral A_80) B_53)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral C_26) D_11)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) A_80)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.zero_z126310315umeral) C_26)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_80) C_26)) (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral B_53) D_11)))))))) (forall ((C_26 $$unsorted) (D_11 $$unsorted) (A_80 $$unsorted) (B_53 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_80) B_53)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real C_26) D_11)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A_80)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) C_26)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_80) C_26)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_53) D_11)))))))) (forall ((C_26 $$unsorted) (D_11 $$unsorted) (A_80 $$unsorted) (B_53 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_80) B_53)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C_26) D_11)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A_80)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) C_26)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_80) C_26)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_53) D_11)))))))) (forall ((C_26 $$unsorted) (D_11 $$unsorted) (A_80 $$unsorted) (B_53 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_80) B_53)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int C_26) D_11)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) A_80)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) C_26)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_80) C_26)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_53) D_11)))))))) (forall ((C_25 $$unsorted) (D_10 $$unsorted) (A_79 $$unsorted) (B_52 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_79) B_52)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat C_25) D_10)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 A_79)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 C_25)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_79) C_25)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_52) D_10))))))))) (forall ((C_25 $$unsorted) (D_10 $$unsorted) (A_79 $$unsorted) (B_52 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_79) B_52)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int C_25) D_10)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 A_79)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 C_25)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_79) C_25)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int B_52) D_10))))))))) (forall ((C_25 $$unsorted) (D_10 $$unsorted) (A_79 $$unsorted) (B_52 $$unsorted)) (let ((_let_1 (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral A_79) B_52)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral C_25) D_10)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 A_79)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 C_25)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_79) C_25)) (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral B_52) D_10))))))))) (forall ((C_25 $$unsorted) (D_10 $$unsorted) (A_79 $$unsorted) (B_52 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_79) B_52)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real C_25) D_10)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_79)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 C_25)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_79) C_25)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_52) D_10))))))))) (forall ((C_25 $$unsorted) (D_10 $$unsorted) (A_79 $$unsorted) (B_52 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_79) B_52)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat C_25) D_10)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_79)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 C_25)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_79) C_25)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_52) D_10))))))))) (forall ((C_25 $$unsorted) (D_10 $$unsorted) (A_79 $$unsorted) (B_52 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_79) B_52)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int C_25) D_10)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_79)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 C_25)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_79) C_25)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_52) D_10))))))))) (forall ((C_24 $$unsorted) (D_9 $$unsorted) (A_78 $$unsorted) (B_51 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_78) B_51)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat C_24) D_9)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) B_51)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C_24)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_78) C_24)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_51) D_9)))))))) (forall ((C_24 $$unsorted) (D_9 $$unsorted) (A_78 $$unsorted) (B_51 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_78) B_51)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int C_24) D_9)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.zero_z891286103de_int) B_51)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int tptp.zero_z891286103de_int) C_24)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_78) C_24)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int B_51) D_9)))))))) (forall ((C_24 $$unsorted) (D_9 $$unsorted) (A_78 $$unsorted) (B_51 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral A_78) B_51)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral C_24) D_9)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.zero_z126310315umeral) B_51)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le565307924umeral tptp.zero_z126310315umeral) C_24)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_78) C_24)) (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral B_51) D_9)))))))) (forall ((C_24 $$unsorted) (D_9 $$unsorted) (A_78 $$unsorted) (B_51 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_78) B_51)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real C_24) D_9)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) B_51)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C_24)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_78) C_24)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_51) D_9)))))))) (forall ((C_24 $$unsorted) (D_9 $$unsorted) (A_78 $$unsorted) (B_51 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_78) B_51)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat C_24) D_9)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) B_51)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C_24)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_78) C_24)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_51) D_9)))))))) (forall ((C_24 $$unsorted) (D_9 $$unsorted) (A_78 $$unsorted) (B_51 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_78) B_51)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int C_24) D_9)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_51)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) C_24)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_78) C_24)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_51) D_9)))))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat C))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat _let_1 A_1)) (tptp.hAPP_rat_rat _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat B_1) A_1)))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real C))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real _let_1 A_1)) (tptp.hAPP_real_real _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real B_1) A_1)))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int C))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int C) tptp.zero_zero_int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int _let_1 A_1)) (tptp.hAPP_int_int _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_1) A_1)))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat C))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat _let_1 A_1)) (tptp.hAPP_rat_rat _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_1) B_1)))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real C))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real _let_1 A_1)) (tptp.hAPP_real_real _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) B_1)))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int C))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) C)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int _let_1 A_1)) (tptp.hAPP_int_int _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_1) B_1)))))) (forall ((X_51 $$unsorted) (Y_45 $$unsorted)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat X_51) X_51)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Y_45) Y_45))))) (forall ((X_51 $$unsorted) (Y_45 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real X_51) X_51)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Y_45) Y_45))))) (forall ((X_51 $$unsorted) (Y_45 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int X_51) X_51)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Y_45) Y_45))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Xa) Xa)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Ya) Ya))) tptp.zero_zero_rat)) (and (= Xa tptp.zero_zero_rat) (= Ya tptp.zero_zero_rat)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Xa) Xa)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Ya) Ya))) tptp.zero_zero_real)) (and (= Xa tptp.zero_zero_real) (= Ya tptp.zero_zero_real)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (and (tptp.is_int Xa) (tptp.is_int Ya)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Xa) Xa)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Ya) Ya))) tptp.zero_zero_int)) (and (= Xa tptp.zero_zero_int) (= Ya tptp.zero_zero_int))))) (forall ((X_50 $$unsorted) (Y_44 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat X_50) X_50)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Y_44) Y_44))) tptp.zero_zero_rat)))) (forall ((X_50 $$unsorted) (Y_44 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real X_50) X_50)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Y_44) Y_44))) tptp.zero_zero_real)))) (forall ((X_50 $$unsorted) (Y_44 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int X_50) X_50)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Y_44) Y_44))) tptp.zero_zero_int)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Xa) Xa)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Ya) Ya)))) (or (not (= Xa tptp.zero_zero_rat)) (not (= Ya tptp.zero_zero_rat))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Xa) Xa)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Ya) Ya)))) (or (not (= Xa tptp.zero_zero_real)) (not (= Ya tptp.zero_zero_real))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (and (tptp.is_int Xa) (tptp.is_int Ya)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Xa) Xa)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Ya) Ya)))) (or (not (= Xa tptp.zero_zero_int)) (not (= Ya tptp.zero_zero_int)))))) (forall ((Y_43 $$unsorted) (X_49 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 X_49)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 Y_43)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Y_43) tptp.one_one_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat X_49) Y_43)) X_49))))))) (forall ((Y_43 $$unsorted) (X_49 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X_49)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Y_43)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y_43) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real X_49) Y_43)) X_49))))))) (forall ((Y_43 $$unsorted) (X_49 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X_49)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Y_43)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y_43) tptp.one_one_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int X_49) Y_43)) X_49))))))) (forall ((Y_42 $$unsorted) (X_48 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 X_48)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 Y_42)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Y_42) tptp.one_one_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Y_42) X_48)) X_48))))))) (forall ((Y_42 $$unsorted) (X_48 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X_48)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Y_42)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y_42) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Y_42) X_48)) X_48))))))) (forall ((Y_42 $$unsorted) (X_48 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X_48)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Y_42)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y_42) tptp.one_one_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Y_42) X_48)) X_48))))))) (forall ((N_24 $$unsorted) (A_77 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.one_one_rat))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 A_77)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_77) (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_77) N_24))))))) (forall ((N_24 $$unsorted) (A_77 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.one_on1684967323de_int))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 A_77)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_77) (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int A_77) N_24))))))) (forall ((N_24 $$unsorted) (A_77 $$unsorted)) (let ((_let_1 (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.one_on1645066479umeral))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 A_77)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool _let_1 (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_77) (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral A_77) N_24))))))) (forall ((N_24 $$unsorted) (A_77 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_77)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_77) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_77) N_24))))))) (forall ((N_24 $$unsorted) (A_77 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.one_one_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_77)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_77) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_77) N_24))))))) (forall ((N_24 $$unsorted) (A_77 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_77)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_77) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_77) N_24))))))) (forall ((N_23 $$unsorted) (A_76 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_76) N_23))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.one_one_rat) A_76)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat _let_1) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_76) _let_1)))))) (forall ((N_23 $$unsorted) (A_76 $$unsorted)) (let ((_let_1 (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int A_76) N_23))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.one_on1684967323de_int) A_76)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int _let_1) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_76) _let_1)))))) (forall ((N_23 $$unsorted) (A_76 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral A_76) N_23))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.one_on1645066479umeral) A_76)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral _let_1) (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_76) _let_1)))))) (forall ((N_23 $$unsorted) (A_76 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_76) N_23))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real) A_76)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real _let_1) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_76) _let_1)))))) (forall ((N_23 $$unsorted) (A_76 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_76) N_23))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.one_one_nat) A_76)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat _let_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_76) _let_1)))))) (forall ((N_23 $$unsorted) (A_76 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_76) N_23))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) A_76)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int _let_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_76) _let_1)))))) (forall ((A_75 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_75) (tptp.hAPP_int_rat tptp.number_number_of_rat (tptp.hAPP_int_int tptp.bit1 tptp.pls))) A_75)) (forall ((A_75 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_75) (tptp.hAPP_int_complex tptp.number528085621omplex (tptp.hAPP_int_int tptp.bit1 tptp.pls))) A_75)) (forall ((A_75 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_75) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit1 tptp.pls))) A_75)) (forall ((A_75 $$unsorted)) (=> (tptp.is_int A_75) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_75) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit1 tptp.pls))) A_75))) (forall ((A_74 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_int_rat tptp.number_number_of_rat (tptp.hAPP_int_int tptp.bit1 tptp.pls))) A_74) A_74)) (forall ((A_74 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_int_complex tptp.number528085621omplex (tptp.hAPP_int_int tptp.bit1 tptp.pls))) A_74) A_74)) (forall ((A_74 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit1 tptp.pls))) A_74) A_74)) (forall ((A_74 $$unsorted)) (=> (tptp.is_int A_74) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit1 tptp.pls))) A_74) A_74))) (forall ((K_2 $$unsorted) (L_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.bit1 K_2)) L_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K_2) L_2))) L_2))) (forall ((Na $$unsorted) (Ma $$unsorted)) (=> (and (tptp.is_int Na) (tptp.is_int Ma)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) Ma)) (= (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Ma) Na) tptp.one_one_int) (and (= Ma tptp.one_one_int) (= Na tptp.one_one_int)))))) (forall ((Va $$unsorted) (V $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Va))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_int_nat tptp.number_number_of_nat Va)) (tptp.hAPP_int_nat tptp.number_number_of_nat V))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool _let_1 V))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 tptp.pls)))))) (forall ((X_47 $$unsorted) (Y_41 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat X_47) Y_41))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Y_41) X_47)))) (forall ((X_47 $$unsorted) (Y_41 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int X_47) Y_41))) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int Y_41) X_47)))) (forall ((X_47 $$unsorted) (Y_41 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_47) Y_41))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y_41) X_47)))) (forall ((X_47 $$unsorted) (Y_41 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_47) Y_41))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_41) X_47)))) (forall ((X_47 $$unsorted) (Y_41 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X_47) Y_41))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y_41) X_47)))) (forall ((Xa $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool F) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_int_bool F Xa)) (tptp.hAPP_int_bool G Xa))))) (forall ((Xa $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool F) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool F Xa)) (tptp.hAPP_nat_bool G Xa))))) (forall ((Z_18 $$unsorted) (Y_40 $$unsorted) (X_46 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Z_18))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Y_40) X_46)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 Y_40)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 X_46)))))) (forall ((Z_2 $$unsorted) (Ya $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Ya) Xa)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 Ya)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 Xa)))))) (forall ((Z_2 $$unsorted) (Ya $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ya) Xa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Ya)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Xa)))))) (forall ((Z_18 $$unsorted) (Y_40 $$unsorted) (X_46 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int Z_18))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int Y_40) X_46)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 Y_40)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 X_46)))))) (forall ((Z_18 $$unsorted) (Y_40 $$unsorted) (X_46 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Z_18))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y_40) X_46)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Y_40)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X_46)))))) (forall ((Z_18 $$unsorted) (Y_40 $$unsorted) (X_46 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Z_18))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_40) X_46)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y_40)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 X_46)))))) (forall ((Z_18 $$unsorted) (Y_40 $$unsorted) (X_46 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Z_18))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y_40) X_46)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Y_40)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X_46)))))) (forall ((Y_39 $$unsorted) (X_45 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Y_39) X_45)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat X_45) Y_39)) (= X_45 Y_39)))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Ya) Xa)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Xa) Ya)) (= Xa Ya)))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ya) Xa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Xa) Ya)) (= Xa Ya)))) (forall ((Y_39 $$unsorted) (X_45 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int Y_39) X_45)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int X_45) Y_39)) (= X_45 Y_39)))) (forall ((Y_39 $$unsorted) (X_45 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y_39) X_45)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_45) Y_39)) (= X_45 Y_39)))) (forall ((Y_39 $$unsorted) (X_45 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_39) X_45)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_45) Y_39)) (= X_45 Y_39)))) (forall ((Y_39 $$unsorted) (X_45 $$unsorted)) (=> (and (tptp.is_int Y_39) (tptp.is_int X_45)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y_39) X_45)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X_45) Y_39)) (= X_45 Y_39))))) (forall ((Z_17 $$unsorted) (X_44 $$unsorted) (Y_38 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat X_44))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 Y_38)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Y_38) Z_17)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 Z_17)))))) (forall ((Z_2 $$unsorted) (Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Xa))) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 Ya)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Ya) Z_2)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 Z_2)))))) (forall ((Z_2 $$unsorted) (Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Xa))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Ya)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ya) Z_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Z_2)))))) (forall ((Z_17 $$unsorted) (X_44 $$unsorted) (Y_38 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int X_44))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 Y_38)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int Y_38) Z_17)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 Z_17)))))) (forall ((Z_17 $$unsorted) (X_44 $$unsorted) (Y_38 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_44))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Y_38)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y_38) Z_17)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Z_17)))))) (forall ((Z_17 $$unsorted) (X_44 $$unsorted) (Y_38 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_44))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y_38)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_38) Z_17)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Z_17)))))) (forall ((Z_17 $$unsorted) (X_44 $$unsorted) (Y_38 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X_44))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Y_38)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y_38) Z_17)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Z_17)))))) (forall ((X_43 $$unsorted) (Y_37 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat X_43) Y_37)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Y_37) X_43)) (= X_43 Y_37)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Xa) Ya)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Ya) Xa)) (= Xa Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Xa) Ya)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ya) Xa)) (= Xa Ya)))) (forall ((X_43 $$unsorted) (Y_37 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int X_43) Y_37)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int Y_37) X_43)) (= X_43 Y_37)))) (forall ((X_43 $$unsorted) (Y_37 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_43) Y_37)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y_37) X_43)) (= X_43 Y_37)))) (forall ((X_43 $$unsorted) (Y_37 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_43) Y_37)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_37) X_43)) (= X_43 Y_37)))) (forall ((X_43 $$unsorted) (Y_37 $$unsorted)) (=> (and (tptp.is_int X_43) (tptp.is_int Y_37)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X_43) Y_37)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y_37) X_43)) (= X_43 Y_37))))) (forall ((C_23 $$unsorted) (B_50 $$unsorted) (A_73 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat B_50) A_73)) (=> (= B_50 C_23) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat C_23) A_73))))) (forall ((C $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B_1) A_1)) (=> (= B_1 C) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool C) A_1))))) (forall ((C $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_1) A_1)) (=> (= B_1 C) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool C) A_1))))) (forall ((C_23 $$unsorted) (B_50 $$unsorted) (A_73 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int B_50) A_73)) (=> (= B_50 C_23) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int C_23) A_73))))) (forall ((C_23 $$unsorted) (B_50 $$unsorted) (A_73 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real B_50) A_73)) (=> (= B_50 C_23) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real C_23) A_73))))) (forall ((C_23 $$unsorted) (B_50 $$unsorted) (A_73 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat B_50) A_73)) (=> (= B_50 C_23) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C_23) A_73))))) (forall ((C_23 $$unsorted) (B_50 $$unsorted) (A_73 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_50) A_73)) (=> (= B_50 C_23) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int C_23) A_73))))) (forall ((C_22 $$unsorted) (A_72 $$unsorted) (B_49 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_72))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 B_49)) (=> (= B_49 C_22) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 C_22)))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A_1))) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 B_1)) (=> (= B_1 C) (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 C)))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 B_1)) (=> (= B_1 C) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 C)))))) (forall ((C_22 $$unsorted) (A_72 $$unsorted) (B_49 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int A_72))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 B_49)) (=> (= B_49 C_22) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 C_22)))))) (forall ((C_22 $$unsorted) (A_72 $$unsorted) (B_49 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_72))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 B_49)) (=> (= B_49 C_22) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 C_22)))))) (forall ((C_22 $$unsorted) (A_72 $$unsorted) (B_49 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_72))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_49)) (=> (= B_49 C_22) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 C_22)))))) (forall ((C_22 $$unsorted) (A_72 $$unsorted) (B_49 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_72))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_49)) (=> (= B_49 C_22) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 C_22)))))) (forall ((C_21 $$unsorted) (A_71 $$unsorted) (B_48 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat C_21))) (=> (= A_71 B_48) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 B_48)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 A_71)))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool C))) (=> (= A_1 B_1) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 B_1)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 A_1)))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool C))) (=> (= A_1 B_1) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 B_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 A_1)))))) (forall ((C_21 $$unsorted) (A_71 $$unsorted) (B_48 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int C_21))) (=> (= A_71 B_48) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 B_48)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 A_71)))))) (forall ((C_21 $$unsorted) (A_71 $$unsorted) (B_48 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real C_21))) (=> (= A_71 B_48) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 B_48)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_71)))))) (forall ((C_21 $$unsorted) (A_71 $$unsorted) (B_48 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C_21))) (=> (= A_71 B_48) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_48)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_71)))))) (forall ((C_21 $$unsorted) (A_71 $$unsorted) (B_48 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int C_21))) (=> (= A_71 B_48) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_48)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_71)))))) (forall ((C_20 $$unsorted) (A_70 $$unsorted) (B_47 $$unsorted)) (=> (= A_70 B_47) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat B_47) C_20)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_70) C_20))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (= A_1 B_1) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B_1) C)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A_1) C))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (= A_1 B_1) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_1) C)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) C))))) (forall ((C_20 $$unsorted) (A_70 $$unsorted) (B_47 $$unsorted)) (=> (= A_70 B_47) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int B_47) C_20)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int A_70) C_20))))) (forall ((C_20 $$unsorted) (A_70 $$unsorted) (B_47 $$unsorted)) (=> (= A_70 B_47) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real B_47) C_20)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_70) C_20))))) (forall ((C_20 $$unsorted) (A_70 $$unsorted) (B_47 $$unsorted)) (=> (= A_70 B_47) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat B_47) C_20)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_70) C_20))))) (forall ((C_20 $$unsorted) (A_70 $$unsorted) (B_47 $$unsorted)) (=> (= A_70 B_47) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_47) C_20)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_70) C_20))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Ya) Xa)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Xa) Ya)) (= Xa Ya)))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Ya) Xa)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Xa) Ya)) (= Xa Ya)))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ya) Xa)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Xa) Ya)) (= Xa Ya)))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int Ya) Xa)) (= (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int Xa) Ya)) (= Xa Ya)))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Ya) Xa)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) Ya)) (= Xa Ya)))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ya) Xa)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Xa) Ya)) (= Xa Ya)))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (and (tptp.is_int Ya) (tptp.is_int Xa)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Ya) Xa)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Xa) Ya)) (= Xa Ya))))) (forall ((Xa $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool F) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_int_bool F Xa)) (tptp.hAPP_int_bool G Xa))))) (forall ((Xa $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool F) G)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool F Xa)) (tptp.hAPP_nat_bool G Xa))))) (forall ((X_42 $$unsorted) (Y_36 $$unsorted)) (=> (= X_42 Y_36) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat X_42) Y_36)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (= Xa Ya) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Xa) Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (= Xa Ya) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Xa) Ya)))) (forall ((X_42 $$unsorted) (Y_36 $$unsorted)) (=> (= X_42 Y_36) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int X_42) Y_36)))) (forall ((X_42 $$unsorted) (Y_36 $$unsorted)) (=> (= X_42 Y_36) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_42) Y_36)))) (forall ((X_42 $$unsorted) (Y_36 $$unsorted)) (=> (= X_42 Y_36) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_42) Y_36)))) (forall ((X_42 $$unsorted) (Y_36 $$unsorted)) (=> (= X_42 Y_36) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X_42) Y_36)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (= Xa Ya) (and (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Xa) Ya)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Ya) Xa))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (= Xa Ya) (and (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Xa) Ya)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Ya) Xa))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (= Xa Ya) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Xa) Ya)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ya) Xa))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (= Xa Ya) (and (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int Xa) Ya)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int Ya) Xa))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (= Xa Ya) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) Ya)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Ya) Xa))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (= Xa Ya) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Xa) Ya)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ya) Xa))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (and (tptp.is_int Xa) (tptp.is_int Ya)) (= (= Xa Ya) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Xa) Ya)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Ya) Xa)))))) (forall ((X_41 $$unsorted) (Y_35 $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat X_41) Y_35)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Y_35) X_41)))) (forall ((X_41 $$unsorted) (Y_35 $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int X_41) Y_35)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int Y_35) X_41)))) (forall ((X_41 $$unsorted) (Y_35 $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_41) Y_35)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y_35) X_41)))) (forall ((X_41 $$unsorted) (Y_35 $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_41) Y_35)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_35) X_41)))) (forall ((X_41 $$unsorted) (Y_35 $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X_41) Y_35)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y_35) X_41)))) (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool F) G)) (forall ((X_1 $$unsorted)) (=> (tptp.is_int X_1) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_int_bool F X_1)) (tptp.hAPP_int_bool G X_1))))))) (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool F) G)) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_eq_bool (tptp.hAPP_nat_bool F X_1)) (tptp.hAPP_nat_bool G X_1)))))) (forall ((X_40 $$unsorted) (Y_34 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat X_40) Y_34))) (=> (not (= X_40 Y_34)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Y_34) X_40))))) (forall ((X_40 $$unsorted) (Y_34 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int X_40) Y_34))) (=> (not (= X_40 Y_34)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Y_34) X_40))))) (forall ((X_40 $$unsorted) (Y_34 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_40) Y_34))) (=> (not (= X_40 Y_34)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y_34) X_40))))) (forall ((X_40 $$unsorted) (Y_34 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_40) Y_34))) (=> (not (= X_40 Y_34)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_34) X_40))))) (forall ((X_40 $$unsorted) (Y_34 $$unsorted)) (=> (and (tptp.is_int X_40) (tptp.is_int Y_34)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_40) Y_34))) (=> (not (= X_40 Y_34)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Y_34) X_40)))))) (forall ((X_39 $$unsorted) (Y_33 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat X_39) Y_33)) (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Y_33) X_39))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Xa) Ya)) (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Ya) Xa))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Xa) Ya)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ya) Xa))))) (forall ((X_39 $$unsorted) (Y_33 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int X_39) Y_33)) (not (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Y_33) X_39))))) (forall ((X_39 $$unsorted) (Y_33 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_39) Y_33)) (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y_33) X_39))))) (forall ((X_39 $$unsorted) (Y_33 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_39) Y_33)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_33) X_39))))) (forall ((X_39 $$unsorted) (Y_33 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_39) Y_33)) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Y_33) X_39))))) (forall ((Z_16 $$unsorted) (Y_32 $$unsorted) (X_38 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Z_16))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Y_32) X_38)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 Y_32)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 X_38)))))) (forall ((Z_2 $$unsorted) (Ya $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Ya) Xa)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 Ya)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 Xa)))))) (forall ((Z_2 $$unsorted) (Ya $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ya) Xa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Ya)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Xa)))))) (forall ((Z_16 $$unsorted) (Y_32 $$unsorted) (X_38 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Z_16))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Y_32) X_38)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 Y_32)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 X_38)))))) (forall ((Z_16 $$unsorted) (Y_32 $$unsorted) (X_38 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Z_16))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y_32) X_38)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Y_32)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X_38)))))) (forall ((Z_16 $$unsorted) (Y_32 $$unsorted) (X_38 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Z_16))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_32) X_38)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y_32)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 X_38)))))) (forall ((Z_16 $$unsorted) (Y_32 $$unsorted) (X_38 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Z_16))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Y_32) X_38)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Y_32)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X_38)))))) (forall ((Z_15 $$unsorted) (X_37 $$unsorted) (Y_31 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat X_37))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 Y_31)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Y_31) Z_15)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 Z_15)))))) (forall ((Z_2 $$unsorted) (Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Xa))) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 Ya)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Ya) Z_2)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 Z_2)))))) (forall ((Z_2 $$unsorted) (Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Xa))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Ya)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ya) Z_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Z_2)))))) (forall ((Z_15 $$unsorted) (X_37 $$unsorted) (Y_31 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int X_37))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 Y_31)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Y_31) Z_15)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 Z_15)))))) (forall ((Z_15 $$unsorted) (X_37 $$unsorted) (Y_31 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_37))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Y_31)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y_31) Z_15)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Z_15)))))) (forall ((Z_15 $$unsorted) (X_37 $$unsorted) (Y_31 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_37))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y_31)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_31) Z_15)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Z_15)))))) (forall ((Z_15 $$unsorted) (X_37 $$unsorted) (Y_31 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_37))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Y_31)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Y_31) Z_15)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Z_15)))))) (forall ((C_19 $$unsorted) (B_46 $$unsorted) (A_69 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat B_46) A_69)) (=> (= B_46 C_19) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat C_19) A_69))))) (forall ((C $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool B_1) A_1)) (=> (= B_1 C) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool C) A_1))))) (forall ((C $$unsorted) (B_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool B_1) A_1)) (=> (= B_1 C) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool C) A_1))))) (forall ((C_19 $$unsorted) (B_46 $$unsorted) (A_69 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int B_46) A_69)) (=> (= B_46 C_19) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int C_19) A_69))))) (forall ((C_19 $$unsorted) (B_46 $$unsorted) (A_69 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real B_46) A_69)) (=> (= B_46 C_19) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real C_19) A_69))))) (forall ((C_19 $$unsorted) (B_46 $$unsorted) (A_69 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat B_46) A_69)) (=> (= B_46 C_19) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat C_19) A_69))))) (forall ((C_19 $$unsorted) (B_46 $$unsorted) (A_69 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_46) A_69)) (=> (= B_46 C_19) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int C_19) A_69))))) (forall ((C_18 $$unsorted) (A_68 $$unsorted) (B_45 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_68))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 B_45)) (=> (= B_45 C_18) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 C_18)))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool A_1))) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 B_1)) (=> (= B_1 C) (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 C)))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool A_1))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 B_1)) (=> (= B_1 C) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 C)))))) (forall ((C_18 $$unsorted) (A_68 $$unsorted) (B_45 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_68))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 B_45)) (=> (= B_45 C_18) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 C_18)))))) (forall ((C_18 $$unsorted) (A_68 $$unsorted) (B_45 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_68))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 B_45)) (=> (= B_45 C_18) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 C_18)))))) (forall ((C_18 $$unsorted) (A_68 $$unsorted) (B_45 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_68))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_45)) (=> (= B_45 C_18) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 C_18)))))) (forall ((C_18 $$unsorted) (A_68 $$unsorted) (B_45 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_68))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_45)) (=> (= B_45 C_18) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 C_18)))))) (forall ((C_17 $$unsorted) (A_67 $$unsorted) (B_44 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat C_17))) (=> (= A_67 B_44) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 B_44)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 A_67)))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool C))) (=> (= A_1 B_1) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 B_1)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 A_1)))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool C))) (=> (= A_1 B_1) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 B_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 A_1)))))) (forall ((C_17 $$unsorted) (A_67 $$unsorted) (B_44 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int C_17))) (=> (= A_67 B_44) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 B_44)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 A_67)))))) (forall ((C_17 $$unsorted) (A_67 $$unsorted) (B_44 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real C_17))) (=> (= A_67 B_44) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 B_44)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_67)))))) (forall ((C_17 $$unsorted) (A_67 $$unsorted) (B_44 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat C_17))) (=> (= A_67 B_44) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_44)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_67)))))) (forall ((C_17 $$unsorted) (A_67 $$unsorted) (B_44 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int C_17))) (=> (= A_67 B_44) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_44)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_67)))))) (forall ((C_16 $$unsorted) (A_66 $$unsorted) (B_43 $$unsorted)) (=> (= A_66 B_43) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat B_43) C_16)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_66) C_16))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (= A_1 B_1) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool B_1) C)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool A_1) C))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (= A_1 B_1) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool B_1) C)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool A_1) C))))) (forall ((C_16 $$unsorted) (A_66 $$unsorted) (B_43 $$unsorted)) (=> (= A_66 B_43) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int B_43) C_16)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_66) C_16))))) (forall ((C_16 $$unsorted) (A_66 $$unsorted) (B_43 $$unsorted)) (=> (= A_66 B_43) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real B_43) C_16)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_66) C_16))))) (forall ((C_16 $$unsorted) (A_66 $$unsorted) (B_43 $$unsorted)) (=> (= A_66 B_43) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat B_43) C_16)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_66) C_16))))) (forall ((C_16 $$unsorted) (A_66 $$unsorted) (B_43 $$unsorted)) (=> (= A_66 B_43) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_43) C_16)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_66) C_16))))) (forall ((B_42 $$unsorted) (A_65 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat B_42) A_65)) (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_65) B_42))))) (forall ((B_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool B_1) A_1)) (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool A_1) B_1))))) (forall ((B_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool B_1) A_1)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool A_1) B_1))))) (forall ((B_42 $$unsorted) (A_65 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int B_42) A_65)) (not (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_65) B_42))))) (forall ((B_42 $$unsorted) (A_65 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real B_42) A_65)) (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_65) B_42))))) (forall ((B_42 $$unsorted) (A_65 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat B_42) A_65)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_65) B_42))))) (forall ((B_42 $$unsorted) (A_65 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_42) A_65)) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_65) B_42))))) (forall ((A_64 $$unsorted) (B_41 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_64) B_41)) (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat B_41) A_64))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool A_1) B_1)) (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool B_1) A_1))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool A_1) B_1)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool B_1) A_1))))) (forall ((A_64 $$unsorted) (B_41 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_64) B_41)) (not (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int B_41) A_64))))) (forall ((A_64 $$unsorted) (B_41 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_64) B_41)) (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real B_41) A_64))))) (forall ((A_64 $$unsorted) (B_41 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_64) B_41)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat B_41) A_64))))) (forall ((A_64 $$unsorted) (B_41 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_64) B_41)) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_41) A_64))))) (forall ((P_1 $$unsorted) (Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Xa) Ya)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Ya) Xa)) (tptp.hBOOL P_1)))) (forall ((P_1 $$unsorted) (Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Xa) Ya)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Ya) Xa)) (tptp.hBOOL P_1)))) (forall ((P_1 $$unsorted) (Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Xa) Ya)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ya) Xa)) (tptp.hBOOL P_1)))) (forall ((P_1 $$unsorted) (Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Xa) Ya)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Ya) Xa)) (tptp.hBOOL P_1)))) (forall ((P_1 $$unsorted) (Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) Ya)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Ya) Xa)) (tptp.hBOOL P_1)))) (forall ((P_1 $$unsorted) (Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Xa) Ya)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ya) Xa)) (tptp.hBOOL P_1)))) (forall ((P_1 $$unsorted) (Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Xa) Ya)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Ya) Xa)) (tptp.hBOOL P_1)))) (forall ((X_36 $$unsorted) (Y_30 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat X_36) Y_30)) (not (= Y_30 X_36)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Xa) Ya)) (not (= Ya Xa)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Xa) Ya)) (not (= Ya Xa)))) (forall ((X_36 $$unsorted) (Y_30 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int X_36) Y_30)) (not (= Y_30 X_36)))) (forall ((X_36 $$unsorted) (Y_30 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_36) Y_30)) (not (= Y_30 X_36)))) (forall ((X_36 $$unsorted) (Y_30 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_36) Y_30)) (not (= Y_30 X_36)))) (forall ((X_36 $$unsorted) (Y_30 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_36) Y_30)) (not (= Y_30 X_36)))) (forall ((X_35 $$unsorted) (Y_29 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat X_35) Y_29)) (not (= X_35 Y_29)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Xa) Ya)) (not (= Xa Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Xa) Ya)) (not (= Xa Ya)))) (forall ((X_35 $$unsorted) (Y_29 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int X_35) Y_29)) (not (= X_35 Y_29)))) (forall ((X_35 $$unsorted) (Y_29 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_35) Y_29)) (not (= X_35 Y_29)))) (forall ((X_35 $$unsorted) (Y_29 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_35) Y_29)) (not (= X_35 Y_29)))) (forall ((X_35 $$unsorted) (Y_29 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_35) Y_29)) (not (= X_35 Y_29)))) (forall ((X_34 $$unsorted) (Y_28 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat X_34) Y_28)) (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Y_28) X_34))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Xa) Ya)) (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Ya) Xa))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Xa) Ya)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ya) Xa))))) (forall ((X_34 $$unsorted) (Y_28 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int X_34) Y_28)) (not (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Y_28) X_34))))) (forall ((X_34 $$unsorted) (Y_28 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_34) Y_28)) (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y_28) X_34))))) (forall ((X_34 $$unsorted) (Y_28 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_34) Y_28)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_28) X_34))))) (forall ((X_34 $$unsorted) (Y_28 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_34) Y_28)) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Y_28) X_34))))) (forall ((X_33 $$unsorted) (Y_27 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat X_33) Y_27)) (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Y_27) X_33))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Xa) Ya)) (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Ya) Xa))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Xa) Ya)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ya) Xa))))) (forall ((X_33 $$unsorted) (Y_27 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int X_33) Y_27)) (not (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Y_27) X_33))))) (forall ((X_33 $$unsorted) (Y_27 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_33) Y_27)) (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y_27) X_33))))) (forall ((X_33 $$unsorted) (Y_27 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_33) Y_27)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_27) X_33))))) (forall ((X_33 $$unsorted) (Y_27 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_33) Y_27)) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Y_27) X_33))))) (forall ((X_32 $$unsorted) (Y_26 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat X_32) Y_26)) (not (= X_32 Y_26)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Xa) Ya)) (not (= Xa Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Xa) Ya)) (not (= Xa Ya)))) (forall ((X_32 $$unsorted) (Y_26 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int X_32) Y_26)) (not (= X_32 Y_26)))) (forall ((X_32 $$unsorted) (Y_26 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_32) Y_26)) (not (= X_32 Y_26)))) (forall ((X_32 $$unsorted) (Y_26 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_32) Y_26)) (not (= X_32 Y_26)))) (forall ((X_32 $$unsorted) (Y_26 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_32) Y_26)) (not (= X_32 Y_26)))) (forall ((X_31 $$unsorted) (Y_25 $$unsorted)) (=> (not (= X_31 Y_25)) (=> (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat X_31) Y_25))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Y_25) X_31))))) (forall ((X_31 $$unsorted) (Y_25 $$unsorted)) (=> (not (= X_31 Y_25)) (=> (not (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int X_31) Y_25))) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Y_25) X_31))))) (forall ((X_31 $$unsorted) (Y_25 $$unsorted)) (=> (not (= X_31 Y_25)) (=> (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_31) Y_25))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y_25) X_31))))) (forall ((X_31 $$unsorted) (Y_25 $$unsorted)) (=> (not (= X_31 Y_25)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_31) Y_25))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_25) X_31))))) (forall ((X_31 $$unsorted) (Y_25 $$unsorted)) (=> (and (tptp.is_int X_31) (tptp.is_int Y_25)) (=> (not (= X_31 Y_25)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_31) Y_25))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Y_25) X_31)))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Ya) Xa))) (= (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Xa) Ya))) (= Xa Ya)))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Ya) Xa))) (= (not (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Xa) Ya))) (= Xa Ya)))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Ya) Xa))) (= (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) Ya))) (= Xa Ya)))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ya) Xa))) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Xa) Ya))) (= Xa Ya)))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (and (tptp.is_int Ya) (tptp.is_int Xa)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Ya) Xa))) (= (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Xa) Ya))) (= Xa Ya))))) (forall ((X_30 $$unsorted) (Y_24 $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat X_30) Y_24)) (= X_30 Y_24) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Y_24) X_30)))) (forall ((X_30 $$unsorted) (Y_24 $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int X_30) Y_24)) (= X_30 Y_24) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Y_24) X_30)))) (forall ((X_30 $$unsorted) (Y_24 $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_30) Y_24)) (= X_30 Y_24) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y_24) X_30)))) (forall ((X_30 $$unsorted) (Y_24 $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_30) Y_24)) (= X_30 Y_24) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_24) X_30)))) (forall ((X_30 $$unsorted) (Y_24 $$unsorted)) (=> (and (tptp.is_int X_30) (tptp.is_int Y_24)) (or (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_30) Y_24)) (= X_30 Y_24) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Y_24) X_30))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Xa) Ya))) (or (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Ya) Xa)) (= Xa Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Xa) Ya))) (or (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Ya) Xa)) (= Xa Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) Ya))) (or (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Ya) Xa)) (= Xa Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Xa) Ya))) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ya) Xa)) (= Xa Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (and (tptp.is_int Xa) (tptp.is_int Ya)) (= (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Xa) Ya))) (or (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Ya) Xa)) (= Xa Ya))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (not (= Xa Ya)) (or (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Xa) Ya)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Ya) Xa))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (not (= Xa Ya)) (or (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Xa) Ya)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Ya) Xa))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (not (= Xa Ya)) (or (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) Ya)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Ya) Xa))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (not (= Xa Ya)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Xa) Ya)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ya) Xa))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (and (tptp.is_int Xa) (tptp.is_int Ya)) (= (not (= Xa Ya)) (or (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Xa) Ya)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Ya) Xa)))))) (forall ((X_29 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat X_29) X_29)))) (forall ((Xa $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Xa) Xa)))) (forall ((Xa $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Xa) Xa)))) (forall ((X_29 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int X_29) X_29)))) (forall ((X_29 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_29) X_29)))) (forall ((X_29 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_29) X_29)))) (forall ((X_29 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_29) X_29)))) (forall ((V_9 $$unsorted) (U_3 $$unsorted) (Y_23 $$unsorted) (X_28 $$unsorted) (A_63 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat X_28) A_63)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Y_23) A_63)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 U_3)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 V_9)) (=> (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat U_3) V_9) tptp.one_one_rat) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat U_3) X_28)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat V_9) Y_23))) A_63))))))))) (forall ((V_9 $$unsorted) (U_3 $$unsorted) (Y_23 $$unsorted) (X_28 $$unsorted) (A_63 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_28) A_63)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y_23) A_63)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 U_3)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 V_9)) (=> (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real U_3) V_9) tptp.one_one_real) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real U_3) X_28)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real V_9) Y_23))) A_63))))))))) (forall ((V_9 $$unsorted) (U_3 $$unsorted) (Y_23 $$unsorted) (X_28 $$unsorted) (A_63 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X_28) A_63)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y_23) A_63)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 U_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 V_9)) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int U_3) V_9) tptp.one_one_int) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int U_3) X_28)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int V_9) Y_23))) A_63))))))))) (forall ((N_22 $$unsorted) (A_62 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_62) N_22))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) A_62)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_62) tptp.one_one_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_62) _let_1)) _let_1)))))) (forall ((N_22 $$unsorted) (A_62 $$unsorted)) (let ((_let_1 (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int A_62) N_22))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int tptp.zero_z891286103de_int) A_62)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_62) tptp.one_on1684967323de_int)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_62) _let_1)) _let_1)))))) (forall ((N_22 $$unsorted) (A_62 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral A_62) N_22))) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral tptp.zero_z126310315umeral) A_62)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral A_62) tptp.one_on1645066479umeral)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.ord_le1304079648umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral A_62) _let_1)) _let_1)))))) (forall ((N_22 $$unsorted) (A_62 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_62) N_22))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) A_62)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_62) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_62) _let_1)) _let_1)))))) (forall ((N_22 $$unsorted) (A_62 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_62) N_22))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) A_62)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_62) tptp.one_one_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_62) _let_1)) _let_1)))))) (forall ((N_22 $$unsorted) (A_62 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_62) N_22))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) A_62)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_62) tptp.one_one_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_62) _let_1)) _let_1)))))) (forall ((W_5 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) tptp.one_one_rat)) (tptp.hAPP_int_rat tptp.number_number_of_rat W_5)) (tptp.hAPP_int_rat tptp.number_number_of_rat (tptp.hAPP_int_int tptp.bit0 W_5)))) (forall ((W_5 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex tptp.one_one_complex) tptp.one_one_complex)) (tptp.hAPP_int_complex tptp.number528085621omplex W_5)) (tptp.hAPP_int_complex tptp.number528085621omplex (tptp.hAPP_int_int tptp.bit0 W_5)))) (forall ((W_5 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.one_one_real) tptp.one_one_real)) (tptp.hAPP_int_real tptp.number267125858f_real W_5)) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 W_5)))) (forall ((W_5 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) tptp.one_one_int)) (tptp.hAPP_int_int tptp.number_number_of_int W_5)) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 W_5)))) (forall ((A_61 $$unsorted)) (= (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex A_61) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_61) A_61)) A_61))) (forall ((A_61 $$unsorted)) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_61) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_61) A_61)) A_61))) (forall ((A_61 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_61) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_61) A_61)) A_61))) (forall ((A_61 $$unsorted)) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_61) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_61) A_61)) A_61))) (forall ((A_61 $$unsorted)) (= (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_61) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_61) A_61)) A_61))) (forall ((A_61 $$unsorted)) (= (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int A_61) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_61) A_61)) A_61))) (forall ((K_2 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int K_2)))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int I) J_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int _let_1 I)) (tptp.hAPP_int_int _let_1 J_2))))))) (forall ((V_8 $$unsorted) (U_2 $$unsorted) (Y_22 $$unsorted) (X_27 $$unsorted) (A_60 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat X_27) A_60)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Y_22) A_60)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 U_2)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 V_8)) (=> (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat U_2) V_8) tptp.one_one_rat) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat U_2) X_27)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat V_8) Y_22))) A_60))))))))) (forall ((V_8 $$unsorted) (U_2 $$unsorted) (Y_22 $$unsorted) (X_27 $$unsorted) (A_60 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_27) A_60)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y_22) A_60)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 U_2)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 V_8)) (=> (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real U_2) V_8) tptp.one_one_real) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real U_2) X_27)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real V_8) Y_22))) A_60))))))))) (forall ((V_8 $$unsorted) (U_2 $$unsorted) (Y_22 $$unsorted) (X_27 $$unsorted) (A_60 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_27) A_60)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Y_22) A_60)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 U_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 V_8)) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int U_2) V_8) tptp.one_one_int) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int U_2) X_27)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int V_8) Y_22))) A_60))))))))) (forall ((Z_14 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Z_14) (tptp.hAPP_int_rat tptp.number_number_of_rat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat Z_14) Z_14))) (forall ((Z_14 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex Z_14) (tptp.hAPP_int_complex tptp.number528085621omplex (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex Z_14) Z_14))) (forall ((Z_14 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Z_14) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real Z_14) Z_14))) (forall ((Z_14 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Z_14) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Z_14) Z_14))) (forall ((Z_13 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Z_13) (tptp.hAPP_int_rat tptp.number_number_of_rat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat Z_13) Z_13))) (forall ((Z_13 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex Z_13) (tptp.hAPP_int_complex tptp.number528085621omplex (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex Z_13) Z_13))) (forall ((Z_13 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Z_13) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real Z_13) Z_13))) (forall ((Z_13 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Z_13) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Z_13) Z_13))) (forall ((Z_13 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Z_13) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Z_13) Z_13))) (forall ((Z_12 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_int_rat tptp.number_number_of_rat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) Z_12) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat Z_12) Z_12))) (forall ((Z_12 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_int_complex tptp.number528085621omplex (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) Z_12) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex Z_12) Z_12))) (forall ((Z_12 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) Z_12) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real Z_12) Z_12))) (forall ((Z_12 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) Z_12) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Z_12) Z_12))) (forall ((Z_11 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_int_rat tptp.number_number_of_rat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) Z_11) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat Z_11) Z_11))) (forall ((Z_11 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_int_complex tptp.number528085621omplex (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) Z_11) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex Z_11) Z_11))) (forall ((Z_11 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) Z_11) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real Z_11) Z_11))) (forall ((Z_11 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) Z_11) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Z_11) Z_11))) (forall ((Z_11 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) Z_11) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Z_11) Z_11))) (forall ((A_59 $$unsorted)) (= (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex A_59) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_59) A_59))) (forall ((A_59 $$unsorted)) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_59) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_59) A_59))) (forall ((A_59 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_59) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_59) A_59))) (forall ((A_59 $$unsorted)) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_59) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_59) A_59))) (forall ((A_59 $$unsorted)) (= (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_59) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_59) A_59))) (forall ((A_59 $$unsorted)) (= (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int A_59) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_59) A_59))) (forall ((X_26 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex X_26) X_26) (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex X_26) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (forall ((X_26 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real X_26) X_26) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X_26) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (forall ((X_26 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat X_26) X_26) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat X_26) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (forall ((X_26 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int X_26) X_26) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X_26) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (forall ((X_26 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat X_26) X_26) (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat X_26) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (forall ((X_26 $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int X_26) X_26) (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int X_26) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (forall ((A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit1 tptp.pls))) (let ((_let_2 (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_3))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) (tptp.hAPP_nat_int _let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 _let_1)))) (tptp.hAPP_nat_int _let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit1 _let_1))))))) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) N)))) (forall ((W_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_complex tptp.number528085621omplex W_4))) (= (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex _let_1) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex _let_1) _let_1)))) (forall ((W_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_real tptp.number267125858f_real W_4))) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real _let_1) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real _let_1) _let_1)))) (forall ((W_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat W_4))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat _let_1) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat _let_1) _let_1)))) (forall ((W_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int W_4))) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int _let_1) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int _let_1) _let_1)))) (forall ((W_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_rat tptp.number_number_of_rat W_4))) (= (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat _let_1) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat _let_1) _let_1)))) (forall ((W_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1732201573de_int tptp.number1226105091de_int W_4))) (= (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int _let_1) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int _let_1) _let_1)))) (forall ((W_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_i769753017umeral tptp.number1443263063umeral W_4))) (= (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral _let_1) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral _let_1) _let_1)))) (forall ((Z_10 $$unsorted) (Y_21 $$unsorted) (X_25 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Z_10))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Y_21) X_25)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 Y_21)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 X_25)))))) (forall ((Z_2 $$unsorted) (Ya $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Ya) Xa)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 Ya)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 Xa)))))) (forall ((Z_2 $$unsorted) (Ya $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Z_2))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ya) Xa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Ya)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Xa)))))) (forall ((Z_10 $$unsorted) (Y_21 $$unsorted) (X_25 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Z_10))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int Y_21) X_25)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 Y_21)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 X_25)))))) (forall ((Z_10 $$unsorted) (Y_21 $$unsorted) (X_25 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Z_10))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y_21) X_25)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Y_21)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X_25)))))) (forall ((Z_10 $$unsorted) (Y_21 $$unsorted) (X_25 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Z_10))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_21) X_25)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y_21)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 X_25)))))) (forall ((Z_10 $$unsorted) (Y_21 $$unsorted) (X_25 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Z_10))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y_21) X_25)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Y_21)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X_25)))))) (forall ((Z_9 $$unsorted) (X_24 $$unsorted) (Y_20 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat X_24) Y_20)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Y_20) Z_9)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat X_24) Z_9))))) (forall ((Z_2 $$unsorted) (Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Xa) Ya)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Ya) Z_2)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Xa) Z_2))))) (forall ((Z_2 $$unsorted) (Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Xa) Ya)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ya) Z_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Xa) Z_2))))) (forall ((Z_9 $$unsorted) (X_24 $$unsorted) (Y_20 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int X_24) Y_20)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Y_20) Z_9)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int X_24) Z_9))))) (forall ((Z_9 $$unsorted) (X_24 $$unsorted) (Y_20 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_24) Y_20)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y_20) Z_9)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_24) Z_9))))) (forall ((Z_9 $$unsorted) (X_24 $$unsorted) (Y_20 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_24) Y_20)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_20) Z_9)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_24) Z_9))))) (forall ((Z_9 $$unsorted) (X_24 $$unsorted) (Y_20 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X_24) Y_20)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Y_20) Z_9)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_24) Z_9))))) (forall ((Z_8 $$unsorted) (Y_19 $$unsorted) (X_23 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Y_19) X_23)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Z_8) Y_19)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Z_8) X_23))))) (forall ((Z_2 $$unsorted) (Ya $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Ya) Xa)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Z_2) Ya)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Z_2) Xa))))) (forall ((Z_2 $$unsorted) (Ya $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Ya) Xa)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Z_2) Ya)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Z_2) Xa))))) (forall ((Z_8 $$unsorted) (Y_19 $$unsorted) (X_23 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Y_19) X_23)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int Z_8) Y_19)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Z_8) X_23))))) (forall ((Z_8 $$unsorted) (Y_19 $$unsorted) (X_23 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y_19) X_23)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Z_8) Y_19)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Z_8) X_23))))) (forall ((Z_8 $$unsorted) (Y_19 $$unsorted) (X_23 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_19) X_23)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Z_8) Y_19)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Z_8) X_23))))) (forall ((Z_8 $$unsorted) (Y_19 $$unsorted) (X_23 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Y_19) X_23)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Z_8) Y_19)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Z_8) X_23))))) (forall ((Z_7 $$unsorted) (X_22 $$unsorted) (Y_18 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat X_22))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 Y_18)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Y_18) Z_7)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 Z_7)))))) (forall ((Z_2 $$unsorted) (Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Xa))) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 Ya)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Ya) Z_2)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 Z_2)))))) (forall ((Z_2 $$unsorted) (Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Xa))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Ya)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ya) Z_2)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool _let_1 Z_2)))))) (forall ((Z_7 $$unsorted) (X_22 $$unsorted) (Y_18 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int X_22))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 Y_18)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int Y_18) Z_7)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 Z_7)))))) (forall ((Z_7 $$unsorted) (X_22 $$unsorted) (Y_18 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_22))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Y_18)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y_18) Z_7)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Z_7)))))) (forall ((Z_7 $$unsorted) (X_22 $$unsorted) (Y_18 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_22))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y_18)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_18) Z_7)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Z_7)))))) (forall ((Z_7 $$unsorted) (X_22 $$unsorted) (Y_18 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_22))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Y_18)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y_18) Z_7)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Z_7)))))) (forall ((B_40 $$unsorted) (A_58 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat B_40) A_58)) (=> (not (= A_58 B_40)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat B_40) A_58))))) (forall ((B_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B_1) A_1)) (=> (not (= A_1 B_1)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool B_1) A_1))))) (forall ((B_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_1) A_1)) (=> (not (= A_1 B_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool B_1) A_1))))) (forall ((B_40 $$unsorted) (A_58 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int B_40) A_58)) (=> (not (= A_58 B_40)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int B_40) A_58))))) (forall ((B_40 $$unsorted) (A_58 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real B_40) A_58)) (=> (not (= A_58 B_40)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real B_40) A_58))))) (forall ((B_40 $$unsorted) (A_58 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat B_40) A_58)) (=> (not (= A_58 B_40)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat B_40) A_58))))) (forall ((B_40 $$unsorted) (A_58 $$unsorted)) (=> (and (tptp.is_int B_40) (tptp.is_int A_58)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_40) A_58)) (=> (not (= A_58 B_40)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_40) A_58)))))) (forall ((A_57 $$unsorted) (B_39 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_57) B_39)) (=> (not (= A_57 B_39)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_57) B_39))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A_1) B_1)) (=> (not (= A_1 B_1)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool A_1) B_1))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) B_1)) (=> (not (= A_1 B_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool A_1) B_1))))) (forall ((A_57 $$unsorted) (B_39 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int A_57) B_39)) (=> (not (= A_57 B_39)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_57) B_39))))) (forall ((A_57 $$unsorted) (B_39 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_57) B_39)) (=> (not (= A_57 B_39)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_57) B_39))))) (forall ((A_57 $$unsorted) (B_39 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_57) B_39)) (=> (not (= A_57 B_39)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_57) B_39))))) (forall ((A_57 $$unsorted) (B_39 $$unsorted)) (=> (and (tptp.is_int A_57) (tptp.is_int B_39)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_57) B_39)) (=> (not (= A_57 B_39)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_57) B_39)))))) (forall ((X_21 $$unsorted) (Y_17 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat X_21) Y_17)) (or (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat X_21) Y_17)) (= X_21 Y_17)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Xa) Ya)) (or (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Xa) Ya)) (= Xa Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Xa) Ya)) (or (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Xa) Ya)) (= Xa Ya)))) (forall ((X_21 $$unsorted) (Y_17 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int X_21) Y_17)) (or (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int X_21) Y_17)) (= X_21 Y_17)))) (forall ((X_21 $$unsorted) (Y_17 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_21) Y_17)) (or (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_21) Y_17)) (= X_21 Y_17)))) (forall ((X_21 $$unsorted) (Y_17 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_21) Y_17)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_21) Y_17)) (= X_21 Y_17)))) (forall ((X_21 $$unsorted) (Y_17 $$unsorted)) (=> (and (tptp.is_int X_21) (tptp.is_int Y_17)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X_21) Y_17)) (or (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_21) Y_17)) (= X_21 Y_17))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Xa) Ya)) (= (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Xa) Ya))) (= Xa Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int Xa) Ya)) (= (not (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Xa) Ya))) (= Xa Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) Ya)) (= (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) Ya))) (= Xa Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Xa) Ya)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Xa) Ya))) (= Xa Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (and (tptp.is_int Xa) (tptp.is_int Ya)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Xa) Ya)) (= (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Xa) Ya))) (= Xa Ya))))) (forall ((X_20 $$unsorted) (Y_16 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat X_20) Y_16)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat X_20) Y_16)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Xa) Ya)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Xa) Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Xa) Ya)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Xa) Ya)))) (forall ((X_20 $$unsorted) (Y_16 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int X_20) Y_16)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int X_20) Y_16)))) (forall ((X_20 $$unsorted) (Y_16 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_20) Y_16)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_20) Y_16)))) (forall ((X_20 $$unsorted) (Y_16 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_20) Y_16)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_20) Y_16)))) (forall ((X_20 $$unsorted) (Y_16 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_20) Y_16)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X_20) Y_16)))) (forall ((Y_15 $$unsorted) (X_19 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Y_15) X_19)) (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat X_19) Y_15))))) (forall ((Y_15 $$unsorted) (X_19 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int Y_15) X_19)) (not (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int X_19) Y_15))))) (forall ((Y_15 $$unsorted) (X_19 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y_15) X_19)) (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_19) Y_15))))) (forall ((Y_15 $$unsorted) (X_19 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_15) X_19)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_19) Y_15))))) (forall ((Y_15 $$unsorted) (X_19 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y_15) X_19)) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_19) Y_15))))) (forall ((A_56 $$unsorted) (B_38 $$unsorted)) (=> (not (= A_56 B_38)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat B_38) A_56)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat B_38) A_56))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (=> (not (= A_1 B_1)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool B_1) A_1)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool B_1) A_1))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (=> (not (= A_1 B_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool B_1) A_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool B_1) A_1))))) (forall ((A_56 $$unsorted) (B_38 $$unsorted)) (=> (not (= A_56 B_38)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int B_38) A_56)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int B_38) A_56))))) (forall ((A_56 $$unsorted) (B_38 $$unsorted)) (=> (not (= A_56 B_38)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real B_38) A_56)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real B_38) A_56))))) (forall ((A_56 $$unsorted) (B_38 $$unsorted)) (=> (not (= A_56 B_38)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat B_38) A_56)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat B_38) A_56))))) (forall ((A_56 $$unsorted) (B_38 $$unsorted)) (=> (and (tptp.is_int A_56) (tptp.is_int B_38)) (=> (not (= A_56 B_38)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_38) A_56)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_38) A_56)))))) (forall ((A_55 $$unsorted) (B_37 $$unsorted)) (=> (not (= A_55 B_37)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_55) B_37)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_55) B_37))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (=> (not (= A_1 B_1)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A_1) B_1)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool A_1) B_1))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (=> (not (= A_1 B_1)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A_1) B_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool A_1) B_1))))) (forall ((A_55 $$unsorted) (B_37 $$unsorted)) (=> (not (= A_55 B_37)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int A_55) B_37)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int A_55) B_37))))) (forall ((A_55 $$unsorted) (B_37 $$unsorted)) (=> (not (= A_55 B_37)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_55) B_37)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_55) B_37))))) (forall ((A_55 $$unsorted) (B_37 $$unsorted)) (=> (not (= A_55 B_37)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_55) B_37)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_55) B_37))))) (forall ((A_55 $$unsorted) (B_37 $$unsorted)) (=> (and (tptp.is_int A_55) (tptp.is_int B_37)) (=> (not (= A_55 B_37)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_55) B_37)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_55) B_37)))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Xa) Ya))) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Xa) Ya)) (= Xa Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Xa) Ya))) (= (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int Xa) Ya)) (= Xa Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) Ya))) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) Ya)) (= Xa Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Xa) Ya))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Xa) Ya)) (= Xa Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (and (tptp.is_int Xa) (tptp.is_int Ya)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool 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(tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_14) X_18))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_18) Y_14)))) (forall ((Y_14 $$unsorted) (X_18 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y_14) X_18))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_18) Y_14)))) (forall ((X_17 $$unsorted) (Y_13 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat X_17) Y_13))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Y_13) X_17)))) (forall ((X_17 $$unsorted) (Y_13 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int X_17) Y_13))) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int Y_13) X_17)))) (forall ((X_17 $$unsorted) (Y_13 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_17) Y_13))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y_13) X_17)))) (forall ((X_17 $$unsorted) (Y_13 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_17) Y_13))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y_13) X_17)))) (forall ((X_17 $$unsorted) (Y_13 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_17) Y_13))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y_13) X_17)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Xa) Ya)) (or (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Xa) Ya)) (= Xa Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Xa) Ya)) (or (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Xa) Ya)) (= Xa Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Xa) Ya)) (or (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Xa) Ya)) (= Xa Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int Xa) Ya)) (or (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Xa) Ya)) (= Xa Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) Ya)) (or (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) Ya)) (= Xa Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Xa) Ya)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Xa) Ya)) (= Xa Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (and (tptp.is_int Xa) (tptp.is_int Ya)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Xa) Ya)) (or (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Xa) Ya)) (= Xa Ya))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Xa) Ya)) (and (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Xa) Ya)) (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Ya) Xa)))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Xa) Ya)) (and (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Xa) Ya)) (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Ya) Xa)))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Xa) Ya)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Xa) Ya)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Ya) Xa)))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Xa) Ya)) (and (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int Xa) Ya)) (not (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int Ya) Xa)))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) Ya)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) Ya)) (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Ya) Xa)))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Xa) Ya)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Xa) Ya)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ya) Xa)))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Xa) Ya)) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Xa) Ya)) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Ya) Xa)))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Xa) Ya)) (and (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Xa) Ya)) (not (= Xa Ya))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Xa) Ya)) (and (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Xa) Ya)) (not (= Xa Ya))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Xa) Ya)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Xa) Ya)) (not (= Xa Ya))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Xa) Ya)) (and (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int Xa) Ya)) (not (= Xa Ya))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) Ya)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) Ya)) (not (= Xa Ya))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Xa) Ya)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Xa) Ya)) (not (= Xa Ya))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (and (tptp.is_int Xa) (tptp.is_int Ya)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Xa) Ya)) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Xa) Ya)) (not (= Xa Ya)))))) (forall ((X_16 $$unsorted) (Y_12 $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat X_16) Y_12)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Y_12) X_16)))) (forall ((X_16 $$unsorted) (Y_12 $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int X_16) Y_12)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Y_12) X_16)))) (forall ((X_16 $$unsorted) (Y_12 $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_16) Y_12)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y_12) X_16)))) (forall ((X_16 $$unsorted) (Y_12 $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_16) Y_12)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Y_12) X_16)))) (forall ((X_16 $$unsorted) (Y_12 $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X_16) Y_12)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Y_12) X_16)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Xa) Ya))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Ya) Xa)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int Xa) Ya))) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Ya) Xa)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) Ya))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Ya) Xa)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Xa) Ya))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ya) Xa)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Xa) Ya))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Ya) Xa)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Xa) Ya))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Ya) Xa)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Xa) Ya))) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int Ya) Xa)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) Ya))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Ya) Xa)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Xa) Ya))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ya) Xa)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Xa) Ya))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Ya) Xa)))) (forall ((P_2 $$unsorted) (P_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hBOOL P_2))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Xa)))) (let ((_let_3 (tptp.hBOOL P_1))) (=> (=> _let_2 (= _let_3 _let_1)) (= (and _let_2 _let_3) (and _let_2 _let_1))))))) (forall ((P_2 $$unsorted) (P_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hBOOL P_2))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Xa)))) (let ((_let_3 (tptp.hBOOL P_1))) (=> (=> _let_2 (= _let_3 _let_1)) (= (=> _let_2 _let_3) (=> _let_2 _let_1))))))) (forall ((X_15 $$unsorted) (Y_11 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))) (= (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat X_15) Y_11)) _let_2) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat X_15) _let_2)) (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat Y_11) _let_2))) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_int_rat tptp.number_number_of_rat _let_1)) X_15)) Y_11)))))) (forall ((X_15 $$unsorted) (Y_11 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))) (= (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex X_15) Y_11)) _let_2) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex X_15) _let_2)) (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex Y_11) _let_2))) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_int_complex tptp.number528085621omplex _let_1)) X_15)) Y_11)))))) (forall ((X_15 $$unsorted) (Y_11 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X_15) Y_11)) _let_2) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X_15) _let_2)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y_11) _let_2))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real _let_1)) X_15)) Y_11)))))) (forall ((X_15 $$unsorted) (Y_11 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat X_15) Y_11)) _let_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat X_15) _let_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat Y_11) _let_1))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat _let_1) X_15)) Y_11))))) (forall ((X_15 $$unsorted) (Y_11 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X_15) Y_11)) _let_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X_15) _let_2)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Y_11) _let_2))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int _let_1)) X_15)) Y_11)))))) (forall ((R_2 $$unsorted) (Q_1 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) A_3)) (=> (= A_3 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int R_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) Q_1))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) R_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Q_1) tptp.one_one_int)))))) (forall ((R_2 $$unsorted) (Q_1 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) A_3)) (=> (= A_3 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int R_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) Q_1))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int R_2) A_3)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.one_one_int) Q_1)))))) (forall ((Na $$unsorted) (P_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool P_1 tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool P_1 Na)) (exists ((K_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat K_1) Na)) (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2) K_1)) (not (tptp.hBOOL (tptp.hAPP_nat_bool P_1 I_2))))) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K_1) tptp.one_one_nat)))))))) (forall ((K $$unsorted) (P_1 $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D_1)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_int X_1) (=> (tptp.hBOOL (tptp.hAPP_int_bool P_1 X_1)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X_1) D_1)))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool P_1 X_1)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K) D_1)))))))))) (not (=> _let_142 (not _let_141))) (forall ((B_5 $$unsorted) (Q_5 $$unsorted) (R_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_5) Q_5)) R_4))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int R_4) B_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_5)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Q_5))))))) (forall ((B_5 $$unsorted) (Q_5 $$unsorted) (R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_5) Q_5)) R_4)) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) R_4)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_5)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Q_5) tptp.zero_zero_int)))))) (forall ((B_2 $$unsorted) (Q_5 $$unsorted) (R_4 $$unsorted) (Q_1 $$unsorted) (R_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_1 Q_5)) R_4)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_1 Q_1)) R_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) R_4)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int R_4) B_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int R_2) B_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Q_5) Q_1)))))))) (forall ((B_2 $$unsorted) (Q_1 $$unsorted) (R_2 $$unsorted) (B_5 $$unsorted) (Q_5 $$unsorted) (R_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (let ((_let_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_5) Q_5)) R_4))) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2) Q_1)) R_2) _let_2) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 _let_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int R_4) B_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 R_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_5) B_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Q_1) Q_5))))))))))) (forall ((B_2 $$unsorted) (Q_5 $$unsorted) (R_4 $$unsorted) (Q_1 $$unsorted) (R_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_2))) (let ((_let_2 (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_2 Q_5)) R_4)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_2 Q_1)) R_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int R_2) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 R_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 R_4)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Q_1) Q_5))))))))) (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.twoSqu1770640450sum2sq (tptp.hAPP_int_int _let_96 (tptp.hAPP_int_int _let_5 _let_143))))) (tptp.hBOOL (tptp.hAPP_int_bool _let_41 _let_95)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.t) _let_95)) (tptp.hBOOL (tptp.hAPP_int_bool tptp.twoSqu1770640450sum2sq _let_125)) (and _let_142 _let_141) (not (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))) (=> (and (tptp.is_int X_1) (tptp.is_int Y_1)) (not (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X_1) _let_2)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Y_1) _let_2)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 _let_1))) tptp.m)) tptp.one_one_int)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.hAPP_nat_int tptp.semiri1621563631at_int tptp.n)))))))))) (= _let_132 _let_125) (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime _let_95)) (=> (= tptp.t tptp.one_one_int) (exists ((X_1 $$unsorted) (Y_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))) (and (tptp.is_int X_1) (tptp.is_int Y_1) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X_1) _let_2)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Y_1) _let_2)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 _let_1))) tptp.m)) tptp.one_one_int))))))) (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool F) G)) (and (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool F) G)) (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool G) F)))))) (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool F) G)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool F) G)) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool G) F)))))) (forall ((Z_1 $$unsorted) (W $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Z_1) W)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real W) Z_1)) (= Z_1 W)))) (forall ((K_2 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real I))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 J_2)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real J_2) K_2)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 K_2)))))) (forall ((Z_1 $$unsorted) (W $$unsorted)) (or (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Z_1) W)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real W) Z_1)))) (forall ((W $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real W) W))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat N) M))) (forall ((M $$unsorted) (N $$unsorted) (K_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat _let_1 N)) K_2) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat N) K_2))))) (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat tptp.zero_zero_nat) N) tptp.zero_zero_nat)) (forall ((M $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) tptp.zero_zero_nat) tptp.zero_zero_nat)) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Ma) Na) tptp.zero_zero_nat) (or (= Ma tptp.zero_zero_nat) (= Na tptp.zero_zero_nat)))) (forall ((K $$unsorted) (Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K))) (= (= (tptp.hAPP_nat_nat _let_1 Ma) (tptp.hAPP_nat_nat _let_1 Na)) (or (= Ma Na) (= K tptp.zero_zero_nat))))) (forall ((Ma $$unsorted) (K $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Ma) K) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Na) K)) (or (= Ma Na) (= K tptp.zero_zero_nat)))) (forall ((X_14 $$unsorted) (P_6 $$unsorted) (Q_7 $$unsorted)) (let ((_let_1 (tptp.hAPP_c1088319240omplex tptp.power_power_complex X_14))) (= (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex (tptp.hAPP_nat_complex _let_1 P_6)) Q_7) (tptp.hAPP_nat_complex _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat P_6) Q_7))))) (forall ((X_14 $$unsorted) (P_6 $$unsorted) (Q_7 $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real X_14))) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_nat_real _let_1 P_6)) Q_7) (tptp.hAPP_nat_real _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat P_6) Q_7))))) (forall ((X_14 $$unsorted) (P_6 $$unsorted) (Q_7 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat X_14))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat (tptp.hAPP_nat_nat _let_1 P_6)) Q_7) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat P_6) Q_7))))) (forall ((X_14 $$unsorted) (P_6 $$unsorted) (Q_7 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_nat_int tptp.power_power_int X_14))) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_nat_int _let_1 P_6)) Q_7) (tptp.hAPP_nat_int _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat P_6) Q_7))))) (forall ((A_54 $$unsorted) (M_11 $$unsorted) (N_21 $$unsorted)) (let ((_let_1 (tptp.hAPP_c1088319240omplex tptp.power_power_complex A_54))) (= (tptp.hAPP_nat_complex _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_11) N_21)) (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex (tptp.hAPP_nat_complex _let_1 M_11)) N_21)))) (forall ((A_54 $$unsorted) (M_11 $$unsorted) (N_21 $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real A_54))) (= (tptp.hAPP_nat_real _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_11) N_21)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_nat_real _let_1 M_11)) N_21)))) (forall ((A_54 $$unsorted) (M_11 $$unsorted) (N_21 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_54))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_11) N_21)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat (tptp.hAPP_nat_nat _let_1 M_11)) N_21)))) (forall ((A_54 $$unsorted) (M_11 $$unsorted) (N_21 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_54))) (= (tptp.hAPP_nat_int _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_11) N_21)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_nat_int _let_1 M_11)) N_21)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real C))) (=> (not (= C tptp.zero_zero_real)) (= (= (tptp.hAPP_real_real _let_1 A_1) (tptp.hAPP_real_real _let_1 B_1)) (= A_1 B_1))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted)) (=> (not (= C tptp.zero_zero_real)) (= (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_1) C) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_1) C)) (= A_1 B_1)))) (forall ((M $$unsorted) (N $$unsorted) (K_2 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) N)) K_2) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) K_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat N) K_2)))) (forall ((K_2 $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K_2))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat _let_1 M)) (tptp.hAPP_nat_nat _let_1 N))))) (forall ((M $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) M)))) (forall ((M $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat _let_1 M)))))) (forall ((K_2 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) J_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat I) K_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat J_2) K_2))))) (forall ((K_2 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) J_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 I)) (tptp.hAPP_nat_nat _let_1 J_2)))))) (forall ((K_2 $$unsorted) (L_2 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) J_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) L_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat I) K_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat J_2) L_2)))))) (forall ((Na $$unsorted) (Ma $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Na) Ma) tptp.one_one_nat) (and (= Na tptp.one_one_nat) (= Ma tptp.one_one_nat)))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Ma) Na) tptp.one_one_nat) (and (= Ma tptp.one_one_nat) (= Na tptp.one_one_nat)))) (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat N) tptp.one_one_nat) N)) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (= tptp.one_one_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Ma) Na)) (and (= Ma tptp.one_one_nat) (= Na tptp.one_one_nat)))) (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat tptp.one_one_nat) N) N)) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real tptp.one_one_real) Z_1) Z_1)) (forall ((Z1 $$unsorted) (Z2 $$unsorted) (W $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real Z1) Z2)) W) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Z1) W)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Z2) W)))) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_nat_int tptp.power_power_int X))) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_nat_int _let_1 Y)) Z_1) (tptp.hAPP_nat_int _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Y) Z_1))))) (forall ((K_2 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) J_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 I)) (tptp.hAPP_nat_nat _let_1 J_2))))))) (forall ((K_2 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) J_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat I) K_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat J_2) K_2)))))) (forall ((Ma $$unsorted) (K $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Ma) K)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Na) K))) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) Na))))) (forall ((K $$unsorted) (Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 Ma)) (tptp.hAPP_nat_nat _let_1 Na))) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) Na)))))) (forall ((Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat))) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Ma) Na))) (and (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Ma)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Na)))))) (forall ((Xa $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Xa) Xa)))) (= Xa tptp.zero_zero_real))) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real Z_1))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Z_1)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) Y)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real _let_1 X)) (tptp.hAPP_real_real _let_1 Y))))))) (forall ((Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Y)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real X) Y))))))) (forall ((Xa $$unsorted) (Ya $$unsorted) (Z_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Z_2)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Xa) Z_2)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Ya) Z_2))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) Ya))))) (forall ((Xa $$unsorted) (Ya $$unsorted) (Z_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real Z_2))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Z_2)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real _let_1 Xa)) (tptp.hAPP_real_real _let_1 Ya))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) Ya)))))) (forall ((Xa $$unsorted) (Ya $$unsorted) (Z_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Z_2)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Xa) Z_2)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Ya) Z_2))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) Ya))))) (forall ((M $$unsorted) (N $$unsorted)) (=> (= M (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) N)) (or (= N tptp.one_one_nat) (= M tptp.zero_zero_nat)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Xa) Xa)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Ya) Ya)) tptp.zero_zero_real) (and (= Xa tptp.zero_zero_real) (= Ya tptp.zero_zero_real)))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) N)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int M)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int N)))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int M)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int N)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) N)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int X)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Y)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat X) Y)))) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.twoSqu1770640450sum2sq X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.twoSqu1770640450sum2sq Y)) (tptp.hBOOL (tptp.hAPP_int_bool tptp.twoSqu1770640450sum2sq (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int X) Y)))))) (forall ((Ma $$unsorted) (K $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Ma) K)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Na) K))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ma) Na))))) (forall ((K $$unsorted) (Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 Ma)) (tptp.hAPP_nat_nat _let_1 Na))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ma) Na)))))) (forall ((A_53 $$unsorted) (N_20 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (let ((_let_2 (tptp.hAPP_c1088319240omplex tptp.power_power_complex A_53))) (= (tptp.hAPP_nat_complex _let_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat _let_1) N_20)) (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex (tptp.hAPP_nat_complex _let_2 N_20)) _let_1))))) (forall ((A_53 $$unsorted) (N_20 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (let ((_let_2 (tptp.hAPP_r474017924t_real tptp.power_power_real A_53))) (= (tptp.hAPP_nat_real _let_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat _let_1) N_20)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_nat_real _let_2 N_20)) _let_1))))) (forall ((A_53 $$unsorted) (N_20 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (let ((_let_2 (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_53))) (= (tptp.hAPP_nat_nat _let_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat _let_1) N_20)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat (tptp.hAPP_nat_nat _let_2 N_20)) _let_1))))) (forall ((A_53 $$unsorted) (N_20 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (let ((_let_2 (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_53))) (= (tptp.hAPP_nat_int _let_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat _let_1) N_20)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_nat_int _let_2 N_20)) _let_1))))) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) Z_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Z_1) Z_1))) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Z_1) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Z_1) Z_1))) (forall ((V_2 $$unsorted) (K_2 $$unsorted) (V_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat V_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat V_2)) K_2)))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int V_1) tptp.pls)))) (and (=> _let_2 (= _let_1 tptp.zero_zero_nat)) (=> (not _let_2) (= _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int V_1) V_2))) K_2))))))) (forall ((V_2 $$unsorted) (V_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat V_1)) (tptp.hAPP_int_nat tptp.number_number_of_nat V_2)))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int V_1) tptp.pls)))) (and (=> _let_2 (= _let_1 tptp.zero_zero_nat)) (=> (not _let_2) (= _let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int V_1) V_2)))))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 _let_1))) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) _let_2)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real _let_1)) X)) _let_2))))) (forall ((A_52 $$unsorted) (K_7 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_52) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) K_7))) tptp.zero_zero_rat)) (= A_52 tptp.zero_zero_rat))) (forall ((A_52 $$unsorted) (K_7 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_52) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) K_7))) tptp.zero_zero_real)) (= A_52 tptp.zero_zero_real))) (forall ((A_52 $$unsorted) (K_7 $$unsorted)) (=> (tptp.is_int A_52) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_52) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) K_7))) tptp.zero_zero_int)) (= A_52 tptp.zero_zero_int)))) (forall ((A_51 $$unsorted) (N_19 $$unsorted)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_51) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) N_19))))) (forall ((A_51 $$unsorted) (N_19 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_51) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) N_19))))) (forall ((A_51 $$unsorted) (N_19 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_51) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) N_19))))) (forall ((B_2 $$unsorted) (Q_1 $$unsorted) (R_2 $$unsorted) (B_5 $$unsorted) (Q_5 $$unsorted) (R_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_5) Q_5)) R_4))) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2) Q_1)) R_2) _let_1) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int _let_1) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int R_2) B_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) R_4)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_5) B_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Q_5) Q_1)))))))))) (= _let_115 _let_100) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) Y)) _let_2) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) _let_2)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y) _let_2))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real _let_1)) X)) Y)))))) (not (forall ((T $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (=> (tptp.is_int T) (not (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int tptp.s) (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))) tptp.one_one_int) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 _let_1))) tptp.m)) tptp.one_one_int)) T))))))) (forall ((Ma $$unsorted) (Na $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 Ma)) (tptp.hAPP_nat_nat _let_1 Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ma) Na)))))) (forall ((Ma $$unsorted) (K $$unsorted) (F $$unsorted)) (=> (forall ((M_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat F M_1)) (tptp.hAPP_nat_nat F N_1))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat F Ma)) K)) (tptp.hAPP_nat_nat F (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ma) K)))))) (forall ((Na $$unsorted) (P_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool P_1 tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool P_1 Na)) (exists ((K_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_1) Na)) (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) K_1)) (not (tptp.hBOOL (tptp.hAPP_nat_bool P_1 I_2))))) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 K_1))))))) _let_134 (forall ((N $$unsorted) (M $$unsorted) (K_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K_2)) (=> (= (tptp.hAPP_nat_nat _let_1 N) (tptp.hAPP_nat_nat _let_1 M)) (= N M))))) (forall ((Ma $$unsorted) (Na $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 Ma)) (tptp.hAPP_nat_nat _let_1 Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) Na)))))) (forall ((Z_1 $$unsorted) (W $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Z_1) W) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real W) Z_1))) (forall ((Z1 $$unsorted) (Z2 $$unsorted) (Z3 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real Z1))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real _let_1 Z2)) Z3) (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Z2) Z3))))) (= (tptp.hAPP_int_int tptp.bit1 tptp.min) tptp.min) (forall ((L $$unsorted)) (=> (tptp.is_int L) (= (= tptp.min (tptp.hAPP_int_int tptp.bit1 L)) (= tptp.min L)))) (forall ((K $$unsorted)) (=> (tptp.is_int K) (= (= (tptp.hAPP_int_int tptp.bit1 K) tptp.min) (= K tptp.min)))) (not (= tptp.min tptp.pls)) (not (= tptp.pls tptp.min)) (forall ((L_2 $$unsorted)) (not (= tptp.min (tptp.hAPP_int_int tptp.bit0 L_2)))) (forall ((K_2 $$unsorted)) (not (= (tptp.hAPP_int_int tptp.bit0 K_2) tptp.min))) (not (tptp.hBOOL (tptp.hAPP_int_bool _let_139 tptp.min))) (tptp.hBOOL (tptp.hAPP_int_bool _let_137 tptp.min)) (forall ((K $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.min))) (= (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int tptp.bit1 K))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 K))))) (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.bit1 K)) tptp.min)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) tptp.min)))) (tptp.hBOOL (tptp.hAPP_int_bool _let_139 tptp.pls)) (not (tptp.hBOOL (tptp.hAPP_int_bool _let_140 tptp.min))) (forall ((K $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.min))) (= (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int tptp.bit0 K))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 K))))) (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.bit1 K)) tptp.min)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K) tptp.min)))) (forall ((K $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.min))) (= (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int tptp.bit1 K))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 K))))) (tptp.hBOOL (tptp.hAPP_int_bool _let_139 tptp.zero_zero_int)) (not (tptp.hBOOL (tptp.hAPP_int_bool _let_138 tptp.min))) (tptp.hBOOL (tptp.hAPP_int_bool _let_137 tptp.pls)) (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.bit0 K)) tptp.min)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K) tptp.min)))) (not (= _let_80 _let_79)) _let_136 (forall ((M $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) M)) tptp.one_one_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime _let_1)) (= (tptp.hAPP_int_int (tptp.legendre (tptp.hAPP_int_int tptp.number_number_of_int tptp.min)) _let_1) tptp.one_one_int)))) (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.bit0 K)) tptp.min)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K) tptp.min)))) (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.min) (tptp.hAPP_int_int tptp.bit0 K))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.min) K)))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.is_int M) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int M) N) tptp.one_one_int) (or (= M tptp.one_one_int) (= M (tptp.hAPP_int_int tptp.number_number_of_int tptp.min)))))) (forall ((Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int tptp.min))) (=> (and (tptp.is_int Ma) (tptp.is_int Na)) (= (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Ma) Na) tptp.one_one_int) (or (and (= Ma tptp.one_one_int) (= Na tptp.one_one_int)) (and (= Ma _let_1) (= Na _let_1))))))) (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime _let_9)) (forall ((K $$unsorted) (Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K))) (= (= (tptp.hAPP_nat_nat _let_1 Ma) (tptp.hAPP_nat_nat _let_1 Na)) (or (= K tptp.zero_zero_nat) (= Ma Na))))) (forall ((I $$unsorted) (U_1 $$unsorted) (J_2 $$unsorted) (K_2 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat I) U_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat J_2) U_1)) K_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I) J_2)) U_1)) K_2))) (forall ((N_18 $$unsorted)) (= (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat (tptp.hAPP_int_rat tptp.number_number_of_rat tptp.min)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) N_18)) tptp.one_one_rat)) (forall ((N_18 $$unsorted)) (= (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex (tptp.hAPP_int_complex tptp.number528085621omplex tptp.min)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) N_18)) tptp.one_one_complex)) (forall ((N_18 $$unsorted)) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) N_18)) tptp.one_one_real)) (forall ((N_18 $$unsorted)) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int tptp.number_number_of_int tptp.min)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) N_18)) tptp.one_one_int)) (forall ((Ma $$unsorted) (Na $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (= (tptp.hAPP_nat_nat _let_1 Ma) (tptp.hAPP_nat_nat _let_1 Na)) (= Ma Na))))) (=> (not _let_133) (not _let_134)) _let_133 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_129 _let_79) _let_95)) (tptp.hBOOL (tptp.hAPP_int_bool _let_131 _let_132)) (= _let_130 _let_132) (and (tptp.hBOOL (tptp.hAPP_int_bool _let_86 tptp.s)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.s) _let_95)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong tptp.s1) tptp.s) _let_95))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong _let_127) _let_79) _let_95)) (forall ((P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit1 tptp.pls))) (let ((_let_2 (tptp.hAPP_int_int tptp.bit0 _let_1))) (=> (tptp.is_int P_3) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (not (= P_3 (tptp.hAPP_int_int tptp.number_number_of_int _let_2))) (=> (not (= P_3 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit1 _let_1)))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit1 _let_2))) P_3))))))))) (not (forall ((S1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (=> (tptp.is_int S1) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int S1) (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))) (tptp.hAPP_int_int tptp.number_number_of_int tptp.min)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 _let_1))) tptp.m)) tptp.one_one_int)))))))) (forall ((A_50 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_50) tptp.zero_zero_nat))) (forall ((A_50 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int A_50) tptp.zero_zero_int))) (forall ((A_50 $$unsorted)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat A_50) tptp.zero_zero_rat))) (forall ((A_50 $$unsorted)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.dvd_dv1760642554de_int A_50) tptp.zero_z891286103de_int))) (forall ((A_50 $$unsorted)) (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex A_50) tptp.zero_zero_complex))) (forall ((A_50 $$unsorted)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.dvd_dv174992974umeral A_50) tptp.zero_z126310315umeral))) (forall ((A_50 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real A_50) tptp.zero_zero_real))) (tptp.hBOOL (tptp.hAPP_int_bool _let_131 _let_130)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_129 _let_127) _let_95)) (not (forall ((S_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) tptp.m)) tptp.one_one_int))) (=> (tptp.is_int S_2) (not (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) S_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int S_2) _let_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong tptp.s1) S_2) _let_1)))))))) (exists ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) tptp.m)) tptp.one_one_int))) (and (tptp.is_int X_1) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_1) _let_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong tptp.s1) X_1) _let_1)) (forall ((Y_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) tptp.m)) tptp.one_one_int))) (=> (tptp.is_int Y_1) (=> (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Y_1) _let_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong tptp.s1) Y_1) _let_1))) (= Y_1 X_1)))))))) (forall ((Z_6 $$unsorted) (X_13 $$unsorted) (Y_10 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int X_13))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Y_10)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Z_6)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Y_10) Z_6))))))) (forall ((Z_6 $$unsorted) (X_13 $$unsorted) (Y_10 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat X_13))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 Y_10)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 Z_6)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat Y_10) Z_6))))))) (forall ((Z_6 $$unsorted) (X_13 $$unsorted) (Y_10 $$unsorted)) (let ((_let_1 (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex X_13))) (=> (tptp.hBOOL (tptp.hAPP_complex_bool _let_1 Y_10)) (=> (tptp.hBOOL (tptp.hAPP_complex_bool _let_1 Z_6)) (tptp.hBOOL (tptp.hAPP_complex_bool _let_1 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex Y_10) Z_6))))))) (forall ((Z_6 $$unsorted) (X_13 $$unsorted) (Y_10 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real X_13))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Y_10)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Z_6)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real Y_10) Z_6))))))) (forall ((C_15 $$unsorted) (A_49 $$unsorted) (B_36 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_49))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_36)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat B_36) C_15)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 C_15)))))) (forall ((C_15 $$unsorted) (A_49 $$unsorted) (B_36 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int A_49))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_36)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int B_36) C_15)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 C_15)))))) (forall ((A_48 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_48) A_48))) (forall ((A_48 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int A_48) A_48))) (forall ((K_2 $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int K_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int M) N))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 N)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 M)))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted) (D_1 $$unsorted)) (=> (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat A_1) B_1) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat C) D_1)) (= (= A_1 B_1) (= C D_1)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted) (D_1 $$unsorted)) (=> (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex A_1) B_1) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex C) D_1)) (= (= A_1 B_1) (= C D_1)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted) (D_1 $$unsorted)) (=> (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real A_1) B_1) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real C) D_1)) (= (= A_1 B_1) (= C D_1)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted) (D_1 $$unsorted)) (=> (and (tptp.is_int A_1) (tptp.is_int B_1) (tptp.is_int C) (tptp.is_int D_1)) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_1) B_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int C) D_1)) (= (= A_1 B_1) (= C D_1))))) (forall ((V_7 $$unsorted) (W_3 $$unsorted)) (= (tptp.hAPP_int_rat tptp.number_number_of_rat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int V_7) W_3)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat (tptp.hAPP_int_rat tptp.number_number_of_rat V_7)) (tptp.hAPP_int_rat tptp.number_number_of_rat W_3)))) (forall ((V_7 $$unsorted) (W_3 $$unsorted)) (= (tptp.hAPP_int_complex tptp.number528085621omplex (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int V_7) W_3)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex (tptp.hAPP_int_complex tptp.number528085621omplex V_7)) (tptp.hAPP_int_complex tptp.number528085621omplex W_3)))) (forall ((V_7 $$unsorted) (W_3 $$unsorted)) (= (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int V_7) W_3)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_int_real tptp.number267125858f_real V_7)) (tptp.hAPP_int_real tptp.number267125858f_real W_3)))) (forall ((V_7 $$unsorted) (W_3 $$unsorted)) (= (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int V_7) W_3)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int tptp.number_number_of_int V_7)) (tptp.hAPP_int_int tptp.number_number_of_int W_3)))) (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_5) tptp.one_one_int))) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_1) _let_1)) tptp.one_one_int) P_5)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_1) _let_1) P_5))))) (forall ((Ta $$unsorted) (D_1 $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int D_1) D)) (forall ((X_1 $$unsorted) (K_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int D_1))) (= (not (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X_1) Ta)))) (not (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K_1) D))) Ta))))))))) (forall ((Ta $$unsorted) (D_1 $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat D_1) D)) (forall ((X_1 $$unsorted) (K_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat D_1))) (= (not (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat X_1) Ta)))) (not (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat X_1) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat K_1) D))) Ta))))))))) (forall ((Ta $$unsorted) (D_1 $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex D_1) D)) (forall ((X_1 $$unsorted) (K_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex D_1))) (= (not (tptp.hBOOL (tptp.hAPP_complex_bool _let_1 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex X_1) Ta)))) (not (tptp.hBOOL (tptp.hAPP_complex_bool _let_1 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex X_1) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex K_1) D))) Ta))))))))) (forall ((Ta $$unsorted) (D_1 $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real D_1) D)) (forall ((X_1 $$unsorted) (K_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real D_1))) (= (not (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X_1) Ta)))) (not (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real X_1) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real K_1) D))) Ta))))))))) (forall ((Ta $$unsorted) (D_1 $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int D_1) D)) (forall ((X_1 $$unsorted) (K_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int D_1))) (= (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X_1) Ta))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K_1) D))) Ta)))))))) (forall ((Ta $$unsorted) (D_1 $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat D_1) D)) (forall ((X_1 $$unsorted) (K_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat D_1))) (= (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat X_1) Ta))) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat X_1) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat K_1) D))) Ta)))))))) (forall ((Ta $$unsorted) (D_1 $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex D_1) D)) (forall ((X_1 $$unsorted) (K_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex D_1))) (= (tptp.hBOOL (tptp.hAPP_complex_bool _let_1 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex X_1) Ta))) (tptp.hBOOL (tptp.hAPP_complex_bool _let_1 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex X_1) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex K_1) D))) Ta)))))))) (forall ((Ta $$unsorted) (D_1 $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real D_1) D)) (forall ((X_1 $$unsorted) (K_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real D_1))) (= (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X_1) Ta))) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real X_1) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real K_1) D))) Ta)))))))) (forall ((N_17 $$unsorted) (M_10 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_17) M_10)) (= (tptp.hAPP_nat_rat tptp.semiri151668891at_rat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M_10) N_17)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat (tptp.hAPP_nat_rat tptp.semiri151668891at_rat M_10)) (tptp.hAPP_nat_rat tptp.semiri151668891at_rat N_17))))) (forall ((N_17 $$unsorted) (M_10 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_17) M_10)) (= (tptp.hAPP_nat_complex tptp.semiri2020571505omplex (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M_10) N_17)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex (tptp.hAPP_nat_complex tptp.semiri2020571505omplex M_10)) (tptp.hAPP_nat_complex tptp.semiri2020571505omplex N_17))))) (forall ((N_17 $$unsorted) (M_10 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_17) M_10)) (= (tptp.hAPP_nat_real tptp.semiri132038758t_real (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M_10) N_17)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_nat_real tptp.semiri132038758t_real M_10)) (tptp.hAPP_nat_real tptp.semiri132038758t_real N_17))))) (forall ((N_17 $$unsorted) (M_10 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_17) M_10)) (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M_10) N_17)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int M_10)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int N_17))))) (forall ((A_47 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat tptp.zero_zero_nat) A_47)) (= A_47 tptp.zero_zero_nat))) (forall ((A_47 $$unsorted)) (=> (tptp.is_int A_47) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int tptp.zero_zero_int) A_47)) (= A_47 tptp.zero_zero_int)))) (forall ((A_47 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat tptp.zero_zero_rat) A_47)) (= A_47 tptp.zero_zero_rat))) (forall ((A_47 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.dvd_dv1760642554de_int tptp.zero_z891286103de_int) A_47)) (= A_47 tptp.zero_z891286103de_int))) (forall ((A_47 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex tptp.zero_zero_complex) A_47)) (= A_47 tptp.zero_zero_complex))) (forall ((A_47 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.dvd_dv174992974umeral tptp.zero_z126310315umeral) A_47)) (= A_47 tptp.zero_z126310315umeral))) (forall ((A_47 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real tptp.zero_zero_real) A_47)) (= A_47 tptp.zero_zero_real))) (forall ((A_46 $$unsorted) (B_35 $$unsorted) (C_14 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_46) B_35)) C_14)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat B_35) C_14)))) (forall ((A_46 $$unsorted) (B_35 $$unsorted) (C_14 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_46) B_35)) C_14)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int B_35) C_14)))) (forall ((A_46 $$unsorted) (B_35 $$unsorted) (C_14 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_46) B_35)) C_14)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat B_35) C_14)))) (forall ((A_46 $$unsorted) (B_35 $$unsorted) (C_14 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.dvd_dv1760642554de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_46) B_35)) C_14)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.dvd_dv1760642554de_int B_35) C_14)))) (forall ((A_46 $$unsorted) (B_35 $$unsorted) (C_14 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_46) B_35)) C_14)) (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex B_35) C_14)))) (forall ((A_46 $$unsorted) (B_35 $$unsorted) (C_14 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_46) B_35)) C_14)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real B_35) C_14)))) (forall ((A_45 $$unsorted) (B_34 $$unsorted) (C_13 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_45) B_34)) C_13)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_45) C_13)))) (forall ((A_45 $$unsorted) (B_34 $$unsorted) (C_13 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_45) B_34)) C_13)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int A_45) C_13)))) (forall ((A_45 $$unsorted) (B_34 $$unsorted) (C_13 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_45) B_34)) C_13)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat A_45) C_13)))) (forall ((A_45 $$unsorted) (B_34 $$unsorted) (C_13 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.dvd_dv1760642554de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_45) B_34)) C_13)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.dvd_dv1760642554de_int A_45) C_13)))) (forall ((A_45 $$unsorted) (B_34 $$unsorted) (C_13 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_45) B_34)) C_13)) (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex A_45) C_13)))) (forall ((A_45 $$unsorted) (B_34 $$unsorted) (C_13 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_45) B_34)) C_13)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real A_45) C_13)))) (forall ((A_44 $$unsorted) (B_33 $$unsorted) (K_6 $$unsorted)) (=> (= A_44 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_33) K_6)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat B_33) A_44)))) (forall ((A_44 $$unsorted) (B_33 $$unsorted) (K_6 $$unsorted)) (=> (= A_44 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_33) K_6)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int B_33) A_44)))) (forall ((A_44 $$unsorted) (B_33 $$unsorted) (K_6 $$unsorted)) (=> (= A_44 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_33) K_6)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat B_33) A_44)))) (forall ((A_44 $$unsorted) (B_33 $$unsorted) (K_6 $$unsorted)) (=> (= A_44 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int B_33) K_6)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.dvd_dv1760642554de_int B_33) A_44)))) (forall ((A_44 $$unsorted) (B_33 $$unsorted) (K_6 $$unsorted)) (=> (= A_44 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex B_33) K_6)) (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex B_33) A_44)))) (forall ((A_44 $$unsorted) (B_33 $$unsorted) (K_6 $$unsorted)) (=> (= A_44 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_33) K_6)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real B_33) A_44)))) (forall ((C_12 $$unsorted) (D_8 $$unsorted) (A_43 $$unsorted) (B_32 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_43) B_32)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat C_12) D_8)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_43) C_12)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_32) D_8)))))) (forall ((C_12 $$unsorted) (D_8 $$unsorted) (A_43 $$unsorted) (B_32 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int A_43) B_32)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int C_12) D_8)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_43) C_12)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_32) D_8)))))) (forall ((C_12 $$unsorted) (D_8 $$unsorted) (A_43 $$unsorted) (B_32 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat A_43) B_32)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat C_12) D_8)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_43) C_12)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_32) D_8)))))) (forall ((C_12 $$unsorted) (D_8 $$unsorted) (A_43 $$unsorted) (B_32 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.dvd_dv1760642554de_int A_43) B_32)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.dvd_dv1760642554de_int C_12) D_8)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.dvd_dv1760642554de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_43) C_12)) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int B_32) D_8)))))) (forall ((C_12 $$unsorted) (D_8 $$unsorted) (A_43 $$unsorted) (B_32 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex A_43) B_32)) (=> (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex C_12) D_8)) (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_43) C_12)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex B_32) D_8)))))) (forall ((C_12 $$unsorted) (D_8 $$unsorted) (A_43 $$unsorted) (B_32 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real A_43) B_32)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real C_12) D_8)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_43) C_12)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_32) D_8)))))) (forall ((B_31 $$unsorted) (A_42 $$unsorted) (C_11 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_42))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 C_11)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_31) C_11)))))) (forall ((B_31 $$unsorted) (A_42 $$unsorted) (C_11 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int A_42))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 C_11)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_31) C_11)))))) (forall ((B_31 $$unsorted) (A_42 $$unsorted) (C_11 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat A_42))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 C_11)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_31) C_11)))))) (forall ((B_31 $$unsorted) (A_42 $$unsorted) (C_11 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.dvd_dv1760642554de_int A_42))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 C_11)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int B_31) C_11)))))) (forall ((B_31 $$unsorted) (A_42 $$unsorted) (C_11 $$unsorted)) (let ((_let_1 (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex A_42))) (=> (tptp.hBOOL (tptp.hAPP_complex_bool _let_1 C_11)) (tptp.hBOOL (tptp.hAPP_complex_bool _let_1 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex B_31) C_11)))))) (forall ((B_31 $$unsorted) (A_42 $$unsorted) (C_11 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real A_42))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 C_11)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_31) C_11)))))) (forall ((C_10 $$unsorted) (A_41 $$unsorted) (B_30 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_41))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_30)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_30) C_10)))))) (forall ((C_10 $$unsorted) (A_41 $$unsorted) (B_30 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int A_41))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_30)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_30) C_10)))))) (forall ((C_10 $$unsorted) (A_41 $$unsorted) (B_30 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat A_41))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 B_30)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_30) C_10)))))) (forall ((C_10 $$unsorted) (A_41 $$unsorted) (B_30 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.dvd_dv1760642554de_int A_41))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 B_30)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int B_30) C_10)))))) (forall ((C_10 $$unsorted) (A_41 $$unsorted) (B_30 $$unsorted)) (let ((_let_1 (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex A_41))) (=> (tptp.hBOOL (tptp.hAPP_complex_bool _let_1 B_30)) (tptp.hBOOL (tptp.hAPP_complex_bool _let_1 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex B_30) C_10)))))) (forall ((C_10 $$unsorted) (A_41 $$unsorted) (B_30 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real A_41))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 B_30)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_30) C_10)))))) (forall ((A_40 $$unsorted) (B_29 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_40) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_29) A_40)))) (forall ((A_40 $$unsorted) (B_29 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int A_40) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_29) A_40)))) (forall ((A_40 $$unsorted) (B_29 $$unsorted)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat A_40) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_29) A_40)))) (forall ((A_40 $$unsorted) (B_29 $$unsorted)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.dvd_dv1760642554de_int A_40) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int B_29) A_40)))) (forall ((A_40 $$unsorted) (B_29 $$unsorted)) (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex A_40) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex B_29) A_40)))) (forall ((A_40 $$unsorted) (B_29 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real A_40) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_29) A_40)))) (forall ((A_39 $$unsorted) (B_28 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_39) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_39) B_28)))) (forall ((A_39 $$unsorted) (B_28 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int A_39) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_39) B_28)))) (forall ((A_39 $$unsorted) (B_28 $$unsorted)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat A_39) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_39) B_28)))) (forall ((A_39 $$unsorted) (B_28 $$unsorted)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.dvd_dv1760642554de_int A_39) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int A_39) B_28)))) (forall ((A_39 $$unsorted) (B_28 $$unsorted)) (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex A_39) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_39) B_28)))) (forall ((A_39 $$unsorted) (B_28 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real A_39) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_39) B_28)))) (forall ((C_9 $$unsorted) (A_38 $$unsorted) (B_27 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_38))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_27)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 C_9)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_27) C_9))))))) (forall ((C_9 $$unsorted) (A_38 $$unsorted) (B_27 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int A_38))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_27)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 C_9)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_27) C_9))))))) (forall ((C_9 $$unsorted) (A_38 $$unsorted) (B_27 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat A_38))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 B_27)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 C_9)) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat B_27) C_9))))))) (forall ((C_9 $$unsorted) (A_38 $$unsorted) (B_27 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q1010094925t_bool tptp.dvd_dv1760642554de_int A_38))) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 B_27)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 C_9)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool _let_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int B_27) C_9))))))) (forall ((C_9 $$unsorted) (A_38 $$unsorted) (B_27 $$unsorted)) (let ((_let_1 (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex A_38))) (=> (tptp.hBOOL (tptp.hAPP_complex_bool _let_1 B_27)) (=> (tptp.hBOOL (tptp.hAPP_complex_bool _let_1 C_9)) (tptp.hBOOL (tptp.hAPP_complex_bool _let_1 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex B_27) C_9))))))) (forall ((C_9 $$unsorted) (A_38 $$unsorted) (B_27 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real A_38))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 B_27)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 C_9)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real B_27) C_9))))))) (forall ((A_37 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat tptp.one_one_nat) A_37))) (forall ((A_37 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int tptp.one_one_int) A_37))) (forall ((A_37 $$unsorted)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat tptp.one_one_rat) A_37))) (forall ((A_37 $$unsorted)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.dvd_dv1760642554de_int tptp.one_on1684967323de_int) A_37))) (forall ((A_37 $$unsorted)) (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex tptp.one_one_complex) A_37))) (forall ((A_37 $$unsorted)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.dvd_dv174992974umeral tptp.one_on1645066479umeral) A_37))) (forall ((A_37 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real tptp.one_one_real) A_37))) (forall ((N_16 $$unsorted) (X_12 $$unsorted) (Y_9 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X_12) Y_9)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat X_12) N_16)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat Y_9) N_16))))) (forall ((N_16 $$unsorted) (X_12 $$unsorted) (Y_9 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int X_12) Y_9)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X_12) N_16)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Y_9) N_16))))) (forall ((N_16 $$unsorted) (X_12 $$unsorted) (Y_9 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex X_12) Y_9)) (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex X_12) N_16)) (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex Y_9) N_16))))) (forall ((N_16 $$unsorted) (X_12 $$unsorted) (Y_9 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real X_12) Y_9)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X_12) N_16)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y_9) N_16))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat A_1) B_1) tptp.zero_zero_rat) (= A_1 B_1))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex A_1) B_1) tptp.zero_zero_complex) (= A_1 B_1))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real A_1) B_1) tptp.zero_zero_real) (= A_1 B_1))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (=> (and (tptp.is_int A_1) (tptp.is_int B_1)) (= (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_1) B_1) tptp.zero_zero_int) (= A_1 B_1)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (= (= A_1 B_1) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat A_1) B_1) tptp.zero_zero_rat))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (= (= A_1 B_1) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex A_1) B_1) tptp.zero_zero_complex))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (= (= A_1 B_1) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real A_1) B_1) tptp.zero_zero_real))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (=> (and (tptp.is_int A_1) (tptp.is_int B_1)) (= (= A_1 B_1) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_1) B_1) tptp.zero_zero_int)))) (forall ((A_36 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat A_36) A_36) tptp.zero_zero_rat)) (forall ((A_36 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex A_36) A_36) tptp.zero_zero_complex)) (forall ((A_36 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real A_36) A_36) tptp.zero_zero_real)) (forall ((A_36 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_36) A_36) tptp.zero_zero_int)) (forall ((A_35 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat A_35) tptp.zero_zero_rat) A_35)) (forall ((A_35 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex A_35) tptp.zero_zero_complex) A_35)) (forall ((A_35 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real A_35) tptp.zero_zero_real) A_35)) (forall ((A_35 $$unsorted)) (=> (tptp.is_int A_35) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_35) tptp.zero_zero_int) A_35))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted) (D_1 $$unsorted)) (=> (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat A_1) B_1) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat C) D_1)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_1) B_1)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat C) D_1))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted) (D_1 $$unsorted)) (=> (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real A_1) B_1) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real C) D_1)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) B_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real C) D_1))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted) (D_1 $$unsorted)) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_1) B_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int C) D_1)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_1) B_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int C) D_1))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted) (D_1 $$unsorted)) (=> (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat A_1) B_1) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat C) D_1)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_1) B_1)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat C) D_1))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted) (D_1 $$unsorted)) (=> (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real A_1) B_1) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real C) D_1)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_1) B_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real C) D_1))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted) (D_1 $$unsorted)) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_1) B_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int C) D_1)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) B_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int C) D_1))))) (forall ((A_34 $$unsorted) (B_26 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_34) B_26)) B_26) A_34)) (forall ((A_34 $$unsorted) (B_26 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex A_34) B_26)) B_26) A_34)) (forall ((A_34 $$unsorted) (B_26 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_34) B_26)) B_26) A_34)) (forall ((A_34 $$unsorted) (B_26 $$unsorted)) (=> (tptp.is_int A_34) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_34) B_26)) B_26) A_34))) (forall ((A_33 $$unsorted) (B_25 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat A_33) B_25)) B_25) A_33)) (forall ((A_33 $$unsorted) (B_25 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex A_33) B_25)) B_25) A_33)) (forall ((A_33 $$unsorted) (B_25 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real A_33) B_25)) B_25) A_33)) (forall ((A_33 $$unsorted) (B_25 $$unsorted)) (=> (tptp.is_int A_33) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_33) B_25)) B_25) A_33))) (forall ((A_32 $$unsorted) (C_8 $$unsorted) (B_24 $$unsorted) (D_7 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_32) C_8)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat B_24) D_7)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat A_32) B_24)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat C_8) D_7)))) (forall ((A_32 $$unsorted) (C_8 $$unsorted) (B_24 $$unsorted) (D_7 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex A_32) C_8)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex B_24) D_7)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex A_32) B_24)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex C_8) D_7)))) (forall ((A_32 $$unsorted) (C_8 $$unsorted) (B_24 $$unsorted) (D_7 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_32) C_8)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real B_24) D_7)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real A_32) B_24)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real C_8) D_7)))) (forall ((A_32 $$unsorted) (C_8 $$unsorted) (B_24 $$unsorted) (D_7 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_32) C_8)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_24) D_7)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_32) B_24)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int C_8) D_7)))) (forall ((K_2 $$unsorted)) (=> (tptp.is_int K_2) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int K_2) tptp.pls) K_2))) (forall ((K_2 $$unsorted) (L_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int tptp.bit0 K_2)) (tptp.hAPP_int_int tptp.bit0 L_2)) (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int K_2) L_2)))) (forall ((Z1 $$unsorted) (Z2 $$unsorted) (W $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Z1) Z2)) W) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Z1) W)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Z2) W)))) (forall ((W $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int W))) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Z1) Z2)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int _let_1 Z1)) (tptp.hAPP_int_int _let_1 Z2))))) (forall ((A_1 $$unsorted) (C $$unsorted) (B_1 $$unsorted)) (=> (tptp.is_int C) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_1) C)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_1) C))) (or (= C tptp.zero_zero_int) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int A_1) B_1)))))) (forall ((A_1 $$unsorted) (C $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_1) C)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_1) C))) (or (= C tptp.zero_zero_rat) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat A_1) B_1))))) (forall ((A_1 $$unsorted) (C $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_1) C)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex B_1) C))) (or (= C tptp.zero_zero_complex) (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex A_1) B_1))))) (forall ((A_1 $$unsorted) (C $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_1) C)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_1) C))) (or (= C tptp.zero_zero_real) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real A_1) B_1))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int C))) (=> (tptp.is_int C) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_int_int _let_1 A_1)) (tptp.hAPP_int_int _let_1 B_1))) (or (= C tptp.zero_zero_int) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int A_1) B_1))))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat C))) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat (tptp.hAPP_rat_rat _let_1 A_1)) (tptp.hAPP_rat_rat _let_1 B_1))) (or (= C tptp.zero_zero_rat) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat A_1) B_1)))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_c172932010omplex tptp.times_times_complex C))) (= (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex (tptp.hAPP_complex_complex _let_1 A_1)) (tptp.hAPP_complex_complex _let_1 B_1))) (or (= C tptp.zero_zero_complex) (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex A_1) B_1)))))) (forall ((C $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real C))) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real (tptp.hAPP_real_real _let_1 A_1)) (tptp.hAPP_real_real _let_1 B_1))) (or (= C tptp.zero_zero_real) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real A_1) B_1)))))) (forall ((M_9 $$unsorted) (A_31 $$unsorted) (N_15 $$unsorted) (B_23 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_31))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat _let_1 N_15)) B_23)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_9) N_15)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat _let_1 M_9)) B_23)))))) (forall ((M_9 $$unsorted) (A_31 $$unsorted) (N_15 $$unsorted) (B_23 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_31))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_nat_int _let_1 N_15)) B_23)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_9) N_15)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_nat_int _let_1 M_9)) B_23)))))) (forall ((M_9 $$unsorted) (A_31 $$unsorted) (N_15 $$unsorted) (B_23 $$unsorted)) (let ((_let_1 (tptp.hAPP_c1088319240omplex tptp.power_power_complex A_31))) (=> (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex (tptp.hAPP_nat_complex _let_1 N_15)) B_23)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_9) N_15)) (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex (tptp.hAPP_nat_complex _let_1 M_9)) B_23)))))) (forall ((M_9 $$unsorted) (A_31 $$unsorted) (N_15 $$unsorted) (B_23 $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real A_31))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real (tptp.hAPP_nat_real _let_1 N_15)) B_23)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_9) N_15)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real (tptp.hAPP_nat_real _let_1 M_9)) B_23)))))) (forall ((N_14 $$unsorted) (M_8 $$unsorted) (X_11 $$unsorted) (Y_8 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X_11) Y_8)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_14) M_8)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat X_11) N_14)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat Y_8) M_8)))))) (forall ((N_14 $$unsorted) (M_8 $$unsorted) (X_11 $$unsorted) (Y_8 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int X_11) Y_8)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_14) M_8)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X_11) N_14)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Y_8) M_8)))))) (forall ((N_14 $$unsorted) (M_8 $$unsorted) (X_11 $$unsorted) (Y_8 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex X_11) Y_8)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_14) M_8)) (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex X_11) N_14)) (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex Y_8) M_8)))))) (forall ((N_14 $$unsorted) (M_8 $$unsorted) (X_11 $$unsorted) (Y_8 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real X_11) Y_8)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_14) M_8)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X_11) N_14)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y_8) M_8)))))) (forall ((A_30 $$unsorted) (M_7 $$unsorted) (N_13 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_30))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_7) N_13)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat _let_1 M_7)) (tptp.hAPP_nat_nat _let_1 N_13)))))) (forall ((A_30 $$unsorted) (M_7 $$unsorted) (N_13 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_30))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_7) N_13)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_nat_int _let_1 M_7)) (tptp.hAPP_nat_int _let_1 N_13)))))) (forall ((A_30 $$unsorted) (M_7 $$unsorted) (N_13 $$unsorted)) (let ((_let_1 (tptp.hAPP_c1088319240omplex tptp.power_power_complex A_30))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_7) N_13)) (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex (tptp.hAPP_nat_complex _let_1 M_7)) (tptp.hAPP_nat_complex _let_1 N_13)))))) (forall ((A_30 $$unsorted) (M_7 $$unsorted) (N_13 $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real A_30))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_7) N_13)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real (tptp.hAPP_nat_real _let_1 M_7)) (tptp.hAPP_nat_real _let_1 N_13)))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_1) B_1)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat A_1) B_1)) tptp.zero_zero_rat)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) B_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real A_1) B_1)) tptp.zero_zero_real)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_1) B_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_1) B_1)) tptp.zero_zero_int)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat A_1) B_1)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat A_1) B_1)) tptp.zero_zero_rat)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_1) B_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real A_1) B_1)) tptp.zero_zero_real)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) B_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_1) B_1)) tptp.zero_zero_int)))) (forall ((A_1 $$unsorted) (E_2 $$unsorted) (C $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted)) (= (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_1) E_2)) C) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_1) E_2)) D_1)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat A_1) B_1)) E_2)) C) D_1))) (forall ((A_1 $$unsorted) (E_2 $$unsorted) (C $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted)) (= (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_1) E_2)) C) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex B_1) E_2)) D_1)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex A_1) B_1)) E_2)) C) D_1))) (forall ((A_1 $$unsorted) (E_2 $$unsorted) (C $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted)) (= (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_1) E_2)) C) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_1) E_2)) D_1)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real A_1) B_1)) E_2)) C) D_1))) (forall ((A_1 $$unsorted) (E_2 $$unsorted) (C $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted)) (=> (tptp.is_int D_1) (= (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_1) E_2)) C) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_1) E_2)) D_1)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_1) B_1)) E_2)) C) D_1)))) (forall ((A_1 $$unsorted) (E_2 $$unsorted) (C $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted)) (= (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_1) E_2)) C) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_1) E_2)) D_1)) (= C (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat B_1) A_1)) E_2)) D_1)))) (forall ((A_1 $$unsorted) (E_2 $$unsorted) (C $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted)) (= (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_1) E_2)) C) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex B_1) E_2)) D_1)) (= C (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex B_1) A_1)) E_2)) D_1)))) (forall ((A_1 $$unsorted) (E_2 $$unsorted) (C $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted)) (= (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_1) E_2)) C) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_1) E_2)) D_1)) (= C (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real B_1) A_1)) E_2)) D_1)))) (forall ((A_1 $$unsorted) (E_2 $$unsorted) (C $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted)) (=> (tptp.is_int C) (= (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_1) E_2)) C) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_1) E_2)) D_1)) (= C (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int B_1) A_1)) E_2)) D_1))))) (forall ((X_10 $$unsorted) (Y_7 $$unsorted) (A_29 $$unsorted) (B_22 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat X_10))) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat (tptp.hAPP_rat_rat _let_1 Y_7)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_29) B_22)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat Y_7) B_22))) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat X_10) A_29)) B_22))))) (forall ((X_10 $$unsorted) (Y_7 $$unsorted) (A_29 $$unsorted) (B_22 $$unsorted)) (let ((_let_1 (tptp.hAPP_c172932010omplex tptp.times_times_complex X_10))) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex (tptp.hAPP_complex_complex _let_1 Y_7)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_29) B_22)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex _let_1 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex Y_7) B_22))) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex X_10) A_29)) B_22))))) (forall ((X_10 $$unsorted) (Y_7 $$unsorted) (A_29 $$unsorted) (B_22 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real X_10))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real _let_1 Y_7)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_29) B_22)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real Y_7) B_22))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real X_10) A_29)) B_22))))) (forall ((X_10 $$unsorted) (Y_7 $$unsorted) (A_29 $$unsorted) (B_22 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int X_10))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int _let_1 Y_7)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_29) B_22)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Y_7) B_22))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X_10) A_29)) B_22))))) (forall ((V_6 $$unsorted) (B_21 $$unsorted) (C_7 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_int_rat tptp.number_number_of_rat V_6)))) (= (tptp.hAPP_rat_rat _let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat B_21) C_7)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat (tptp.hAPP_rat_rat _let_1 B_21)) (tptp.hAPP_rat_rat _let_1 C_7))))) (forall ((V_6 $$unsorted) (B_21 $$unsorted) (C_7 $$unsorted)) (let ((_let_1 (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_int_complex tptp.number528085621omplex V_6)))) (= (tptp.hAPP_complex_complex _let_1 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex B_21) C_7)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex (tptp.hAPP_complex_complex _let_1 B_21)) (tptp.hAPP_complex_complex _let_1 C_7))))) (forall ((V_6 $$unsorted) (B_21 $$unsorted) (C_7 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real V_6)))) (= (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real B_21) C_7)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real _let_1 B_21)) (tptp.hAPP_real_real _let_1 C_7))))) (forall ((V_6 $$unsorted) (B_21 $$unsorted) (C_7 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int V_6)))) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int B_21) C_7)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int _let_1 B_21)) (tptp.hAPP_int_int _let_1 C_7))))) (forall ((A_28 $$unsorted) (B_20 $$unsorted) (V_5 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_rat tptp.number_number_of_rat V_5))) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat A_28) B_20)) _let_1) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_28) _let_1)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_20) _let_1))))) (forall ((A_28 $$unsorted) (B_20 $$unsorted) (V_5 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_complex tptp.number528085621omplex V_5))) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex A_28) B_20)) _let_1) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex A_28) _let_1)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex B_20) _let_1))))) (forall ((A_28 $$unsorted) (B_20 $$unsorted) (V_5 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_real tptp.number267125858f_real V_5))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real A_28) B_20)) _let_1) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_28) _let_1)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_20) _let_1))))) (forall ((A_28 $$unsorted) (B_20 $$unsorted) (V_5 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int V_5))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_28) B_20)) _let_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_28) _let_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_20) _let_1))))) (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) M)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int M) N)) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int N) M)))))) (forall ((K_2 $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int K_2))) (=> (tptp.is_int K_2) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_int_int _let_1 M)) (tptp.hAPP_int_int _let_1 N))) (=> (not (= K_2 tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int M) N))))))) (forall ((Ma $$unsorted) (Ta $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int K))) (=> (tptp.is_int K) (=> (not (= K tptp.zero_zero_int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int Ma) Ta)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_int_int _let_1 Ma)) (tptp.hAPP_int_int _let_1 Ta)))))))) (forall ((N $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (and (tptp.is_int N) (tptp.is_int M)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 M)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 N)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int M) N)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int N) M)) (= M N)))))))) (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_nat_int tptp.power_power_int X))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_nat_int _let_1 Y)) tptp.one_one_int) P_3)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_nat_int _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Y) Z_1))) tptp.one_one_int) P_3))))) (forall ((K $$unsorted) (Na $$unsorted) (Ma $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int K))) (= (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Na) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K) Ma)))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Na))))) (forall ((C $$unsorted) (Xa $$unsorted) (Ta $$unsorted) (A_1 $$unsorted) (D_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Xa))) (let ((_let_2 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int A_1))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_2 D_1)) (= (tptp.hBOOL (tptp.hAPP_int_bool _let_2 (tptp.hAPP_int_int _let_1 Ta))) (tptp.hBOOL (tptp.hAPP_int_bool _let_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int C) D_1))) Ta)))))))) (forall ((K_2 $$unsorted) (L_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int tptp.bit1 K_2)) (tptp.hAPP_int_int tptp.bit1 L_2)) (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int K_2) L_2)))) (forall ((K_2 $$unsorted) (L_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int tptp.bit1 K_2)) (tptp.hAPP_int_int tptp.bit0 L_2)) (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int K_2) L_2)))) (forall ((L_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.minus_minus_int tptp.pls))) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int tptp.bit0 L_2)) (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int _let_1 L_2))))) (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) L)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int K) L)) tptp.zero_zero_int)))) (forall ((A_3 $$unsorted) (N $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int P_3))) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_3) N))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_3)))))) (forall ((K_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int K_2) tptp.min) (tptp.hAPP_int_int tptp.succ K_2))) (forall ((P_1 $$unsorted) (L $$unsorted)) (= (exists ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat L) X_1)))) (exists ((X_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat L) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat X_1) tptp.zero_zero_nat))) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 X_1)))))) (forall ((P_1 $$unsorted) (L $$unsorted)) (= (exists ((X_1 $$unsorted)) (and (tptp.is_int X_1) (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int L) X_1))))) (exists ((X_1 $$unsorted)) (and (tptp.is_int X_1) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int L) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X_1) tptp.zero_zero_int))) (tptp.hBOOL (tptp.hAPP_int_bool P_1 X_1)))))) (forall ((P_1 $$unsorted) (L $$unsorted)) (= (exists ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_rat_bool P_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat L) X_1)))) (exists ((X_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat L) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat X_1) tptp.zero_zero_rat))) (tptp.hBOOL (tptp.hAPP_rat_bool P_1 X_1)))))) (forall ((P_1 $$unsorted) (L $$unsorted)) (= (exists ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool P_1 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int L) X_1)))) (exists ((X_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.dvd_dv1760642554de_int L) (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int X_1) tptp.zero_z891286103de_int))) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool P_1 X_1)))))) (forall ((P_1 $$unsorted) (L $$unsorted)) (= (exists ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_complex_bool P_1 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex L) X_1)))) (exists ((X_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex L) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex X_1) tptp.zero_zero_complex))) (tptp.hBOOL (tptp.hAPP_complex_bool P_1 X_1)))))) (forall ((P_1 $$unsorted) (L $$unsorted)) (= (exists ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool P_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real L) X_1)))) (exists ((X_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real L) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X_1) tptp.zero_zero_real))) (tptp.hBOOL (tptp.hAPP_real_bool P_1 X_1)))))) (forall ((P_1 $$unsorted) (L $$unsorted)) (= (exists ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool P_1 (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral L) X_1)))) (exists ((X_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.dvd_dv174992974umeral L) (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.plus_p1627245867umeral X_1) tptp.zero_z126310315umeral))) (tptp.hBOOL (tptp.hAPP_C24501650l_bool P_1 X_1)))))) (forall ((A_1 $$unsorted) (E_2 $$unsorted) (C $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_1) E_2)) C)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_1) E_2)) D_1))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat C) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat B_1) A_1)) E_2)) D_1))))) (forall ((A_1 $$unsorted) (E_2 $$unsorted) (C $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_1) E_2)) C)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_1) E_2)) D_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real C) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real B_1) A_1)) E_2)) D_1))))) (forall ((A_1 $$unsorted) (E_2 $$unsorted) (C $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_1) E_2)) C)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_1) E_2)) D_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int C) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int B_1) A_1)) E_2)) D_1))))) (forall ((A_1 $$unsorted) (E_2 $$unsorted) (C $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_1) E_2)) C)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_1) E_2)) D_1))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat A_1) B_1)) E_2)) C)) D_1)))) (forall ((A_1 $$unsorted) (E_2 $$unsorted) (C $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_1) E_2)) C)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_1) E_2)) D_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real A_1) B_1)) E_2)) C)) D_1)))) (forall ((A_1 $$unsorted) (E_2 $$unsorted) (C $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_1) E_2)) C)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_1) E_2)) D_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_1) B_1)) E_2)) C)) D_1)))) (forall ((A_1 $$unsorted) (E_2 $$unsorted) (C $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_1) E_2)) C)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_1) E_2)) D_1))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat C) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat B_1) A_1)) E_2)) D_1))))) (forall ((A_1 $$unsorted) (E_2 $$unsorted) (C $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_1) E_2)) C)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_1) E_2)) D_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real C) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real B_1) A_1)) E_2)) D_1))))) (forall ((A_1 $$unsorted) (E_2 $$unsorted) (C $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_1) E_2)) C)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_1) E_2)) D_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int C) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int B_1) A_1)) E_2)) D_1))))) (forall ((A_1 $$unsorted) (E_2 $$unsorted) (C $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_1) E_2)) C)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat B_1) E_2)) D_1))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat A_1) B_1)) E_2)) C)) D_1)))) (forall ((A_1 $$unsorted) (E_2 $$unsorted) (C $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_1) E_2)) C)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_1) E_2)) D_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real A_1) B_1)) E_2)) C)) D_1)))) (forall ((A_1 $$unsorted) (E_2 $$unsorted) (C $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_1) E_2)) C)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_1) E_2)) D_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_1) B_1)) E_2)) C)) D_1)))) (forall ((X_9 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat X_9) X_9)) tptp.one_one_rat) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat X_9) tptp.one_one_rat)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat X_9) tptp.one_one_rat)))) (forall ((X_9 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex X_9) X_9)) tptp.one_one_complex) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex X_9) tptp.one_one_complex)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex X_9) tptp.one_one_complex)))) (forall ((X_9 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real X_9) X_9)) tptp.one_one_real) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X_9) tptp.one_one_real)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real X_9) tptp.one_one_real)))) (forall ((X_9 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int X_9) X_9)) tptp.one_one_int) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X_9) tptp.one_one_int)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X_9) tptp.one_one_int)))) (forall ((V_4 $$unsorted) (W_2 $$unsorted) (C_6 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_int_rat tptp.number_number_of_rat V_4)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat (tptp.hAPP_int_rat tptp.number_number_of_rat W_2)) C_6)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat (tptp.hAPP_int_rat tptp.number_number_of_rat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_4) W_2))) C_6))) (forall ((V_4 $$unsorted) (W_2 $$unsorted) (C_6 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_int_complex tptp.number528085621omplex V_4)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex (tptp.hAPP_int_complex tptp.number528085621omplex W_2)) C_6)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex (tptp.hAPP_int_complex tptp.number528085621omplex (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_4) W_2))) C_6))) (forall ((V_4 $$unsorted) (W_2 $$unsorted) (C_6 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_int_real tptp.number267125858f_real V_4)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_int_real tptp.number267125858f_real W_2)) C_6)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_4) W_2))) C_6))) (forall ((V_4 $$unsorted) (W_2 $$unsorted) (C_6 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.number_number_of_int V_4)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int tptp.number_number_of_int W_2)) C_6)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_4) W_2))) C_6))) (forall ((Z_1 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int Z_1) N)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) N)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Z_1) N))))) (forall ((Wa $$unsorted) (Z_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Wa) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Z_2) tptp.one_one_int))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Wa) Z_2)))) (forall ((L_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int tptp.pls) (tptp.hAPP_int_int tptp.bit1 L_2)) (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int tptp.min) L_2)))) (forall ((L_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.minus_minus_int tptp.min))) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int tptp.bit1 L_2)) (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int _let_1 L_2))))) (forall ((L_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.minus_minus_int tptp.min))) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int tptp.bit0 L_2)) (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int _let_1 L_2))))) (forall ((N $$unsorted) (B_2 $$unsorted) (A_3 $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int P_3) N)))) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int P_3) A_3))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) B_2))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_2))))))) (forall ((N $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int P_3) N)))) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int P_3) B_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) B_2))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_3))))))) (forall ((X_8 $$unsorted) (N_12 $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_12)) (= X_8 tptp.one_one_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X_8) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat X_8) N_12))))) (forall ((X_8 $$unsorted) (N_12 $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_12)) (= X_8 tptp.one_one_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int X_8) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X_8) N_12))))) (forall ((X_8 $$unsorted) (N_12 $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_12)) (= X_8 tptp.one_one_rat)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat X_8) (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat X_8) N_12))))) (forall ((X_8 $$unsorted) (N_12 $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_12)) (= X_8 tptp.one_on1684967323de_int)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.dvd_dv1760642554de_int X_8) (tptp.hAPP_n522471361de_int (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int X_8) N_12))))) (forall ((X_8 $$unsorted) (N_12 $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_12)) (= X_8 tptp.one_one_complex)) (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.hAPP_c1403687985x_bool tptp.dvd_dvd_complex X_8) (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex X_8) N_12))))) (forall ((X_8 $$unsorted) (N_12 $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_12)) (= X_8 tptp.one_on1645066479umeral)) (tptp.hBOOL (tptp.hAPP_C24501650l_bool (tptp.hAPP_C10902773l_bool tptp.dvd_dv174992974umeral X_8) (tptp.hAPP_n1108039445umeral (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral X_8) N_12))))) (forall ((X_8 $$unsorted) (N_12 $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_12)) (= X_8 tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real X_8) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X_8) N_12))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_3) B_2)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_3) B_2)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_3) _let_1)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int B_2) _let_1))))) (forall ((X_7 $$unsorted) (Y_6 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))) (= (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat X_7) Y_6)) _let_2) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat X_7) _let_2)) (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat Y_6) _let_2))) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_int_rat tptp.number_number_of_rat _let_1)) X_7)) Y_6)))))) (forall ((X_7 $$unsorted) (Y_6 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))) (= (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex X_7) Y_6)) _let_2) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex X_7) _let_2)) (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex Y_6) _let_2))) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_int_complex tptp.number528085621omplex _let_1)) X_7)) Y_6)))))) (forall ((X_7 $$unsorted) (Y_6 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real X_7) Y_6)) _let_2) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X_7) _let_2)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y_6) _let_2))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real _let_1)) X_7)) Y_6)))))) (forall ((X_7 $$unsorted) (Y_6 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X_7) Y_6)) _let_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X_7) _let_2)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Y_6) _let_2))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int _let_1)) X_7)) Y_6)))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit1 tptp.pls))) (let ((_let_2 (tptp.hAPP_int_int tptp.bit1 _let_1))) (let ((_let_3 (tptp.hAPP_int_nat tptp.number_number_of_nat _let_2))) (let ((_let_4 (tptp.hAPP_int_fun_nat_int tptp.power_power_int B_2))) (let ((_let_5 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 _let_1)))) (let ((_let_6 (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int _let_2)))) (let ((_let_7 (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_3))) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_3) B_2)) _let_3) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_nat_int _let_7 _let_3)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int _let_6 (tptp.hAPP_nat_int _let_7 _let_5))) B_2))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int _let_6 A_3)) (tptp.hAPP_nat_int _let_4 _let_5)))) (tptp.hAPP_nat_int _let_4 _let_3))))))))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_3) B_2)) _let_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_3) _let_2)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int _let_1)) A_3)) B_2))) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int B_2) _let_2)))))) (forall ((J_2 $$unsorted) (K_2 $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int tptp.number_number_of_int tptp.min)))) (let ((_let_2 (tptp.hAPP_nat_int _let_1 K_2))) (let ((_let_3 (tptp.hAPP_nat_int _let_1 J_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) M)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong _let_3) _let_2) M)) (= _let_3 _let_2))))))) (forall ((Y $$unsorted) (X $$unsorted) (P_3 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong X) tptp.zero_zero_int) P_3))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Y) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) X) P_3)) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int P_3) Y)))))) (forall ((X $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.zcong X))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_1 (tptp.hAPP_int_int tptp.number_number_of_int tptp.min)) P_3)) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_1 tptp.one_one_int) P_3))))))) (forall ((M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) M)) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong tptp.one_one_int) (tptp.hAPP_int_int tptp.number_number_of_int tptp.min)) M))))) (forall ((A_3 $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.legendre A_3) P_3))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.quadRes P_3) A_3)))) (let ((_let_3 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_3) tptp.zero_zero_int) P_3)))) (and (=> _let_3 (= _let_1 tptp.zero_zero_int)) (=> (not _let_3) (and (=> _let_2 (= _let_1 tptp.one_one_int)) (=> (not _let_2) (= _let_1 (tptp.hAPP_int_int tptp.number_number_of_int tptp.min)))))))))) (forall ((Ma $$unsorted) (Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.quadRes Ma) Xa)) (exists ((Y_1 $$unsorted)) (and (tptp.is_int Y_1) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Y_1) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) Xa) Ma)))))) (forall ((A_3 $$unsorted) (P_3 $$unsorted)) (=> (tptp.is_int A_3) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_3) P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) A_3)) tptp.one_one_int) P_3)) (or (= A_3 tptp.one_one_int) (= A_3 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_3) tptp.one_one_int))))))))) (forall ((A_3 $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.zcong A_3))) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) A_3)) tptp.one_one_int) P_3)) (or (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_1 tptp.one_one_int) P_3)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_3) tptp.one_one_int)) P_3)))))))) (forall ((P_5 $$unsorted)) (=> (tptp.is_int P_5) (= (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_5)) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) P_5)) (forall ((M_1 $$unsorted)) (=> (tptp.is_int M_1) (=> (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) M_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int M_1) P_5))) (or (= M_1 tptp.one_one_int) (= M_1 P_5))))))))) _let_126 (forall ((N $$unsorted) (K_2 $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat K_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N))))))) (forall ((I $$unsorted) (J_2 $$unsorted) (K_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat I))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat _let_1 J_2)) K_2) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat _let_1 K_2)) J_2)))) (forall ((K_2 $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat K_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M))))))) (forall ((K_2 $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat K_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N))))))) (forall ((M $$unsorted) (N $$unsorted)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N) tptp.zero_zero_nat) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N) M) tptp.zero_zero_nat) (= M N)))) (forall ((M $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) M) tptp.zero_zero_nat)) (forall ((M $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.zero_zero_nat) M)) (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat tptp.zero_zero_nat) N) tptp.zero_zero_nat)) (forall ((N $$unsorted) (J_2 $$unsorted) (K_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat J_2) K_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J_2) N)) K_2)))) (forall ((L_2 $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat L_2))) (let ((_let_2 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 L_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 N)) (tptp.hAPP_nat_nat _let_1 M)))))))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) N)) N) M)) (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) M)) N) M)) (forall ((I $$unsorted) (J_2 $$unsorted) (K_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat I))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat _let_1 J_2)) K_2) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J_2) K_2))))) (forall ((K_2 $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K_2))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat _let_1 M)) (tptp.hAPP_nat_nat _let_1 N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N)))) (forall ((M $$unsorted) (K_2 $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) K_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) K_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N))) (forall ((Na $$unsorted) (K $$unsorted) (Ma $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Ma)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Na)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat Ma) K)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat Na) K))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ma) Na))))))) (forall ((N $$unsorted) (K_2 $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M))) (let ((_let_2 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 M)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 N)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat _let_1 K_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N) K_2)) (tptp.hAPP_nat_nat _let_1 N))))))) (forall ((Na $$unsorted) (K $$unsorted) (Ma $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Ma)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Na)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat Ma) K) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat Na) K)) (= Ma Na)))))) (forall ((I $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) N)) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat _let_1 I)) I)))) (forall ((L_2 $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) L_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N) L_2))))) (forall ((L_2 $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat L_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 N)) (tptp.hAPP_nat_nat _let_1 M)))))) (forall ((M $$unsorted) (N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N)) M))) (forall ((M $$unsorted) (N $$unsorted) (K_2 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N)) K_2) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) K_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat N) K_2)))) (forall ((K_2 $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K_2))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat _let_1 M)) (tptp.hAPP_nat_nat _let_1 N))))) (forall ((K $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat K))) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Na) K))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Na))))) (forall ((B_2 $$unsorted) (D_3 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat D_3))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_3)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_3) B_2))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_2)))))) (forall ((C_1 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat C_1))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_3) B_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat _let_1 A_3)) (tptp.hAPP_nat_nat _let_1 B_2)))))) (forall ((C_1 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_3) B_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_3) C_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_2) C_1))))) (forall ((Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Ma) tptp.one_one_nat)) (= Ma tptp.one_one_nat))) (forall ((N $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X) Y)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat X) N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat Y) N))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) Ya)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real Xa) Ya)) tptp.zero_zero_real)))) (forall ((Na $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat Na) Ma))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) Na)))) (forall ((M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N)) M)))))) (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) M)) tptp.zero_zero_nat)) (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat N) M)))))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat Ma) Na) tptp.zero_zero_nat) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ma) Na)))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N) tptp.zero_zero_nat))) (forall ((I_1 $$unsorted) (J $$unsorted) (K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J) K))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_1) K)) J)))) (forall ((M $$unsorted) (N $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N)) M))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_3) B_2)) (or (= B_2 tptp.zero_zero_nat) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_3) B_2))))) (forall ((C_1 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_3) B_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat C_1) A_3)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat A_3) C_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat B_2) C_1)))))) (forall ((Na $$unsorted) (K $$unsorted) (Ma $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Ma)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Na)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat Ma) K)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat Na) K))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) Na))))))) (forall ((K $$unsorted) (Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat _let_1 Ma)) (tptp.hAPP_nat_nat _let_1 Na))) (or (= K tptp.zero_zero_nat) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Ma) Na)))))) (forall ((Ma $$unsorted) (K $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Ma) K)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Na) K))) (or (= K tptp.zero_zero_nat) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Ma) Na))))) (forall ((I $$unsorted) (K_2 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) J_2)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat I) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J_2) K_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I) K_2)) J_2)))) (forall ((J $$unsorted) (K $$unsorted) (I_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J) K)) I_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat J) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_1) K))))) (forall ((M $$unsorted) (K_2 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) M)) K_2))))) (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N)) M))) (forall ((I $$unsorted) (K_2 $$unsorted) (J_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) J_2)) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J_2) K_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat _let_1 J_2)) K_2))))) (forall ((I_1 $$unsorted) (K $$unsorted) (J $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K) J)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J) K))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_1) K)) J))))) (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N)) N) M))) (forall ((K $$unsorted) (I_1 $$unsorted) (J $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) J)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J) I_1) K) (= J (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K) I_1))))) (forall ((I $$unsorted) (K_2 $$unsorted) (J_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) J_2)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat _let_1 J_2)) K_2) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J_2) K_2)))))) (forall ((I $$unsorted) (K_2 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) J_2)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J_2) K_2)) I) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J_2) I)) K_2)))) (forall ((I $$unsorted) (K_2 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) J_2)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J_2) I)) K_2) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J_2) K_2)) I)))) (forall ((A_3 $$unsorted) (N $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_3) N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat B_2) N))) (=> (not (= N tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_3) B_2))))) (forall ((X $$unsorted) (Y $$unsorted) (N $$unsorted)) (=> (not (= N tptp.zero_zero_nat)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat X) N)) Y)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X) Y))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Xa) Ya)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int Xa)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Ya))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int Xa)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Ya))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Xa) Ya)))) (forall ((P_1 $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool P_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat A_1) B_1))) (not (or (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_1) B_1)) (not (tptp.hBOOL (tptp.hAPP_nat_bool P_1 tptp.zero_zero_nat)))) (exists ((D_2 $$unsorted)) (and (= A_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_1) D_2)) (not (tptp.hBOOL (tptp.hAPP_nat_bool P_1 D_2))))))))) (forall ((P_1 $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool P_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat A_1) B_1))) (and (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_1) B_1)) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 tptp.zero_zero_nat))) (forall ((D_2 $$unsorted)) (=> (= A_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat B_1) D_2)) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 D_2))))))) (forall ((K_2 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat K_2) N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) N))))) (forall ((Ma $$unsorted) (Na $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat _let_1 Ma)) (tptp.hAPP_nat_nat _let_1 Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Ma) Na)))))) (forall ((K_2 $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat _let_1 M)) (tptp.hAPP_nat_nat _let_1 N))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat M) N)))))) (forall ((U $$unsorted) (Ma $$unsorted) (Na $$unsorted) (I_1 $$unsorted) (J $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) J)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat I_1) U)) Ma) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat J) U)) Na)) (= Ma (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J) I_1)) U)) Na))))) (forall ((U_1 $$unsorted) (M $$unsorted) (N $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I) J_2)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat I) U_1)) M)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat J_2) U_1)) N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J_2) I)) U_1)) N))))) (forall ((U $$unsorted) (Ma $$unsorted) (Na $$unsorted) (I_1 $$unsorted) (J $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) J)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat I_1) U)) Ma)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat J) U)) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ma) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J) I_1)) U)) Na)))))) (forall ((U $$unsorted) (Ma $$unsorted) (Na $$unsorted) (J $$unsorted) (I_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat J) I_1)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat I_1) U)) Ma) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat J) U)) Na)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat I_1) J)) U)) Ma) Na)))) (forall ((U_1 $$unsorted) (M $$unsorted) (N $$unsorted) (J_2 $$unsorted) (I $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat J_2) I)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat I) U_1)) M)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat J_2) U_1)) N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat I) J_2)) U_1)) M)) N)))) (forall ((U $$unsorted) (Ma $$unsorted) (Na $$unsorted) (J $$unsorted) (I_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat J) I_1)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat I_1) U)) Ma)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat J) U)) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat I_1) J)) U)) Ma)) Na))))) (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int M)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int N)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N))))) (forall ((C_1 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.zcong A_3))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_1 B_2) M)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong B_2) C_1) M)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_1 C_1) M)))))) (forall ((D_3 $$unsorted) (C_1 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.zcong A_3))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_1 B_2) M)) (=> (= B_2 C_1) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong C_1) D_3) M)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_1 D_3) M))))))) (forall ((K_2 $$unsorted) (M $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong K_2) K_2) M))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_1) B_1) Ma)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong B_1) A_1) Ma)))) (forall ((X $$unsorted) (Q_1 $$unsorted) (N $$unsorted) (R_2 $$unsorted)) (=> (= X (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Q_1) N)) R_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) R_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat R_2) N)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat N) X))))))) (forall ((N $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) N))) (let ((_let_2 (= M tptp.zero_zero_nat))) (and (=> _let_2 (= _let_1 tptp.zero_zero_nat)) (=> (not _let_2) (= _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat)) N)))))))) (forall ((U $$unsorted) (Ma $$unsorted) (Na $$unsorted) (J $$unsorted) (I_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat J) I_1)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat I_1) U)) Ma)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat J) U)) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat I_1) J)) U)) Ma)) Na))))) (forall ((U $$unsorted) (Ma $$unsorted) (Na $$unsorted) (I_1 $$unsorted) (J $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) J)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat I_1) U)) Ma)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat J) U)) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J) I_1)) U)) Na)))))) (forall ((Na $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Ma)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Ma) Na)) Ma)) (= Na tptp.one_one_nat)))) (forall ((Na $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Ma)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Na) Ma)) Ma)) (= Na tptp.one_one_nat)))) (forall ((P_3 $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat P_3))) (let ((_let_2 (tptp.hAPP_nat_nat _let_1 M))) (let ((_let_3 (= M tptp.zero_zero_nat))) (and (=> _let_3 (= _let_2 tptp.one_one_nat)) (=> (not _let_3) (= _let_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat P_3) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat)))))))))) (forall ((I $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat I))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat _let_1 M)) (tptp.hAPP_nat_nat _let_1 N))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.one_one_nat) I)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)))))) (forall ((X_6 $$unsorted) (N_11 $$unsorted)) (let ((_let_1 (tptp.hAPP_c1088319240omplex tptp.power_power_complex X_6))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_11)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_nat_complex _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N_11) tptp.one_one_nat))) X_6) (tptp.hAPP_nat_complex _let_1 N_11))))) (forall ((X_6 $$unsorted) (N_11 $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real X_6))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_11)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N_11) tptp.one_one_nat))) X_6) (tptp.hAPP_nat_real _let_1 N_11))))) (forall ((X_6 $$unsorted) (N_11 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat X_6))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_11)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N_11) tptp.one_one_nat))) X_6) (tptp.hAPP_nat_nat _let_1 N_11))))) (forall ((X_6 $$unsorted) (N_11 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_nat_int tptp.power_power_int X_6))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_11)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_nat_int _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N_11) tptp.one_one_nat))) X_6) (tptp.hAPP_nat_int _let_1 N_11))))) (forall ((X_6 $$unsorted) (N_11 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat X_6))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_11)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_nat_rat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N_11) tptp.one_one_nat))) X_6) (tptp.hAPP_nat_rat _let_1 N_11))))) (forall ((X_6 $$unsorted) (N_11 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int X_6))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_11)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int (tptp.hAPP_n522471361de_int _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N_11) tptp.one_one_nat))) X_6) (tptp.hAPP_n522471361de_int _let_1 N_11))))) (forall ((P_1 $$unsorted) (Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat Xa) Ya)))) (and (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ya) Xa)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int Xa)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Ya))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Xa) Ya)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 tptp.zero_zero_int)))))) (forall ((X_5 $$unsorted) (Y_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat X_5) Y_5)) (=> (not (= X_5 Y_5)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat X_5) Y_5))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool Xa) Ya)) (=> (not (= Xa Ya)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool Xa) Ya))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool Xa) Ya)) (=> (not (= Xa Ya)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool Xa) Ya))))) (forall ((X_5 $$unsorted) (Y_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int X_5) Y_5)) (=> (not (= X_5 Y_5)) (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int X_5) Y_5))))) (forall ((X_5 $$unsorted) (Y_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_5) Y_5)) (=> (not (= X_5 Y_5)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_5) Y_5))))) (forall ((X_5 $$unsorted) (Y_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_5) Y_5)) (=> (not (= X_5 Y_5)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_5) Y_5))))) (forall ((X_5 $$unsorted) (Y_5 $$unsorted)) (=> (and (tptp.is_int X_5) (tptp.is_int Y_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X_5) Y_5)) (=> (not (= X_5 Y_5)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_5) Y_5)))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_3) C_1)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_2) C_1)) (or (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_3) B_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_2) A_3)))))) (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat N) M)) (or (= M tptp.zero_zero_nat) (= M N) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) N)) M))))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat X) _let_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat Y) _let_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat X) Y)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat X) Y))))) (forall ((M $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong M) tptp.zero_zero_int) M))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (=> (and (tptp.is_int A_1) (tptp.is_int B_1)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_1) B_1) tptp.zero_zero_int)) (= A_1 B_1)))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (C_1 $$unsorted)) (=> (tptp.is_int A_3) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_3) B_2) C_1) (= A_3 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int C_1) B_2))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_3) B_2) tptp.one_one_int))) (forall ((C_1 $$unsorted) (D_3 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_3) B_2) M)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong C_1) D_3) M)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) C_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2) D_3)) M))))) (forall ((K_2 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int K_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_3) B_2) M)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int _let_1 A_3)) (tptp.hAPP_int_int _let_1 B_2)) M))))) (forall ((K_2 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_3) B_2) M)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) K_2)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2) K_2)) M)))) (forall ((C $$unsorted) (D_1 $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted) (Ma $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int D_1))) (let ((_let_2 (tptp.zcong C))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_1) B_1) Ma)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_2 (tptp.hAPP_int_int _let_1 A_1)) Ma)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_2 (tptp.hAPP_int_int _let_1 B_1)) Ma))))))) (forall ((C $$unsorted) (D_1 $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted) (Ma $$unsorted)) (let ((_let_1 (tptp.zcong C))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_1) B_1) Ma)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_1) D_1)) Ma)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_1) D_1)) Ma)))))) (forall ((A_3 $$unsorted) (M $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) M)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2) M)) M))) (forall ((C_1 $$unsorted) (D_3 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_3) B_2) M)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong C_1) D_3) M)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_3) C_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_2) D_3)) M))))) (forall ((C_1 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_3) B_2) M)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_3) C_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_2) C_1)) M)))) (forall ((C_1 $$unsorted) (D_3 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_3) B_2) M)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong C_1) D_3) M)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_3) C_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int B_2) D_3)) M))))) (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong X) Y) M)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X) Z_1)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Y) Z_1)) M)))) (forall ((M $$unsorted) (Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int))) (=> (and (tptp.is_int Y) (tptp.is_int X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Y)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 M)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong X) Y) M)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X) M)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Y) M)) (= X Y)))))))))) (forall ((M $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X) M)) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong X) tptp.zero_zero_int) M)))))) (forall ((B_2 $$unsorted) (M $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_3) M)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_2) A_3)) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_3) B_2) M))))))))) (forall ((A_3 $$unsorted) (R_2 $$unsorted) (B_2 $$unsorted) (M $$unsorted) (C_1 $$unsorted) (D_3 $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int R_2))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_3) (tptp.hAPP_int_int _let_1 B_2))) M)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int C_1) (tptp.hAPP_int_int _let_1 D_3))) N)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) M)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int C_1) N))) (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2) M)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int D_3) N))))))) (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int N) M)) (or (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int M) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int N) M))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (Ma $$unsorted)) (=> (tptp.is_int B_1) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_1) B_1) Ma)) (exists ((K_1 $$unsorted)) (and (tptp.is_int K_1) (= B_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Ma) K_1)))))))) (forall ((Xa $$unsorted) (P_5 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong Xa) tptp.zero_zero_int) P_5)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int P_5) Xa)))) (forall ((A_1 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_1) tptp.zero_zero_int) Ma)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int Ma) A_1)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_1) B_1) Ma)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int Ma) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_1) B_1))))) (forall ((M $$unsorted) (N $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int P_3))) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int M) N))) (or (tptp.hBOOL (tptp.hAPP_int_bool _let_1 M)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 N))))))) (forall ((A_3 $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_3) tptp.one_one_int))) (let ((_let_2 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X))) (=> (tptp.is_int X) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_2 A_3)) (=> (not (= X _let_1)) (tptp.hBOOL (tptp.hAPP_int_bool _let_2 _let_1))))))))) (forall ((M $$unsorted) (X $$unsorted)) (=> (tptp.is_int X) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X) M)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong X) tptp.zero_zero_int) M)) (= X tptp.zero_zero_int)))))) (forall ((M $$unsorted) (A_3 $$unsorted)) (=> (tptp.is_int A_3) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_3) M)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_3) tptp.zero_zero_int) M)) (= A_3 tptp.zero_zero_int)))))) (forall ((B_2 $$unsorted) (M $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (and (tptp.is_int B_2) (tptp.is_int A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_3) M)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_2) M)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_3) B_2) M)) (= A_3 B_2))))))))) (forall ((P_3 $$unsorted) (Y $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int P_3))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Y)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Y) N))))))) (forall ((N $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int tptp.min))) (let ((_let_2 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int _let_1) N))) (or (= _let_2 tptp.one_one_int) (= _let_2 _let_1))))) (forall ((Y $$unsorted) (X $$unsorted) (P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong X) tptp.zero_zero_int) P_3))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong Y) tptp.zero_zero_int) P_3))) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int X) Y)) tptp.zero_zero_int) P_3))))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted) (P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) A_3)) (=> (and (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_3) tptp.zero_zero_int) P_3))) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong B_2) tptp.zero_zero_int) P_3)))) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) B_2)) tptp.zero_zero_int) P_3))))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted) (P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) B_2)) tptp.zero_zero_int) P_3)) (or (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_3) tptp.zero_zero_int) P_3)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong B_2) tptp.zero_zero_int) P_3))))))) (forall ((N $$unsorted) (P_3 $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int P_3))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) M)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int M) N))) (or (tptp.hBOOL (tptp.hAPP_int_bool _let_1 M)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 N)))))))) (forall ((Y $$unsorted) (N $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int P_3))) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Y) N))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Y))))))) (forall ((M_6 $$unsorted) (N_10 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat M_6))) (let ((_let_2 (tptp.hAPP_nat_rat _let_1 N_10))) (let ((_let_3 (= N_10 tptp.zero_zero_nat))) (and (=> _let_3 (= _let_2 tptp.one_one_rat)) (=> (not _let_3) (= _let_2 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat M_6) (tptp.hAPP_nat_rat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N_10) tptp.one_one_nat)))))))))) (forall ((M_6 $$unsorted) (N_10 $$unsorted)) (let ((_let_1 (tptp.hAPP_Q125967240de_int tptp.power_881366806de_int M_6))) (let ((_let_2 (tptp.hAPP_n522471361de_int _let_1 N_10))) (let ((_let_3 (= N_10 tptp.zero_zero_nat))) (and (=> _let_3 (= _let_2 tptp.one_on1684967323de_int)) (=> (not _let_3) (= _let_2 (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int M_6) (tptp.hAPP_n522471361de_int _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N_10) tptp.one_one_nat)))))))))) (forall ((M_6 $$unsorted) (N_10 $$unsorted)) (let ((_let_1 (tptp.hAPP_c1088319240omplex tptp.power_power_complex M_6))) (let ((_let_2 (tptp.hAPP_nat_complex _let_1 N_10))) (let ((_let_3 (= N_10 tptp.zero_zero_nat))) (and (=> _let_3 (= _let_2 tptp.one_one_complex)) (=> (not _let_3) (= _let_2 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex M_6) (tptp.hAPP_nat_complex _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N_10) tptp.one_one_nat)))))))))) (forall ((M_6 $$unsorted) (N_10 $$unsorted)) (let ((_let_1 (tptp.hAPP_C471253896umeral tptp.power_2100829034umeral M_6))) (let ((_let_2 (tptp.hAPP_n1108039445umeral _let_1 N_10))) (let ((_let_3 (= N_10 tptp.zero_zero_nat))) (and (=> _let_3 (= _let_2 tptp.one_on1645066479umeral)) (=> (not _let_3) (= _let_2 (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.times_1655362735umeral M_6) (tptp.hAPP_n1108039445umeral _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N_10) tptp.one_one_nat)))))))))) (forall ((M_6 $$unsorted) (N_10 $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real M_6))) (let ((_let_2 (tptp.hAPP_nat_real _let_1 N_10))) (let ((_let_3 (= N_10 tptp.zero_zero_nat))) (and (=> _let_3 (= _let_2 tptp.one_one_real)) (=> (not _let_3) (= _let_2 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real M_6) (tptp.hAPP_nat_real _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N_10) tptp.one_one_nat)))))))))) (forall ((M_6 $$unsorted) (N_10 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat M_6))) (let ((_let_2 (tptp.hAPP_nat_nat _let_1 N_10))) (let ((_let_3 (= N_10 tptp.zero_zero_nat))) (and (=> _let_3 (= _let_2 tptp.one_one_nat)) (=> (not _let_3) (= _let_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_6) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N_10) tptp.one_one_nat)))))))))) (forall ((M_6 $$unsorted) (N_10 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_nat_int tptp.power_power_int M_6))) (let ((_let_2 (tptp.hAPP_nat_int _let_1 N_10))) (let ((_let_3 (= N_10 tptp.zero_zero_nat))) (and (=> _let_3 (= _let_2 tptp.one_one_int)) (=> (not _let_3) (= _let_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int M_6) (tptp.hAPP_nat_int _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N_10) tptp.one_one_nat)))))))))) (not (forall ((R_1 $$unsorted) (V_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.hAPP_nat_int tptp.semiri1621563631at_int tptp.n)))) (=> (and (tptp.is_int R_1) (tptp.is_int V_3)) (not (and (= V_3 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int tptp.x) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int R_1) _let_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_int_int tptp.abs_abs_int V_3))) _let_1)))))))) (not (forall ((S_2 $$unsorted) (W_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.hAPP_nat_int tptp.semiri1621563631at_int tptp.n)))) (=> (and (tptp.is_int S_2) (tptp.is_int W_1)) (not (and (= W_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int tptp.y) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int S_2) _let_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_int_int tptp.abs_abs_int W_1))) _let_1)))))))) (forall ((K $$unsorted) (P_1 $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D_1)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_int X_1) (=> (tptp.hBOOL (tptp.hAPP_int_bool P_1 X_1)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X_1) D_1)))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool P_1 X_1)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K) D_1)))))))))) (forall ((A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) A_3)) (exists ((P_4 $$unsorted)) (and (tptp.is_int P_4) (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_4)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int P_4) A_3)))))) (forall ((A_3 $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) M)) (exists ((X_1 $$unsorted)) (and (tptp.is_int X_1) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_1) M)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_3) X_1) M)) (forall ((Y_1 $$unsorted)) (=> (tptp.is_int Y_1) (=> (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Y_1) M)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_3) Y_1) M))) (= Y_1 X_1)))))))) (= (tptp.hAPP_P1175774780nt_int tptp.twoSqu1907779896sum2sq (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int tptp.s) tptp.one_one_int)) _let_125) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_3) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int B_2) tptp.one_one_int))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_3) B_2)))) (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X) X))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_124 _let_123)) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X) Y)))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Y) X)))) (=> (and _let_1 (not _let_2)) (not (and _let_2 (not _let_1))))))) (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Z_1))) (let ((_let_2 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X))) (let ((_let_3 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Y))) (=> (and (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 Y)) (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_3 X)))) (=> (and (tptp.hBOOL (tptp.hAPP_nat_bool _let_3 Z_1)) (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y)))) (and (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 Z_1)) (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 X)))))))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_3) B_2)))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat B_2) A_3)))) (=> (and _let_1 (not _let_2)) (not (and _let_2 (not _let_1))))))) (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X))) (let ((_let_2 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Y))) (=> (and (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y)) (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 X)))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 Z_1)) (and (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Z_1)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Z_1) X))))))))) (forall ((C_1 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_3))) (=> (and (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_2)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat B_2) A_3)))) (=> (= B_2 C_1) (and (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 C_1)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat C_1) A_3)))))))) (forall ((P_1 $$unsorted) (Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Xa) Ya)))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Ya) Xa)))) (=> (and _let_1 (not _let_2)) (=> (and _let_2 (not _let_1)) (tptp.hBOOL P_1)))))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X) Y)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Y) X)))) (not (= Y X)))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X) Y)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Y) X)))) (not (= X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X) Y)))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Y) X)))) (=> (and _let_1 (not _let_2)) (not (and _let_2 (not _let_1))))))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X) Y)))) (=> (and _let_1 (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Y) X)))) _let_1))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X) Y)))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Y) X)))) (=> (and _let_1 (not _let_2)) (not (and _let_2 (not _let_1))))))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X) Y)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Y) X)))) (not (= X Y)))) (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Z_1))) (let ((_let_2 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 Y)) (=> (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Y) Z_1)) (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y)))) (and (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 Z_1)) (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 X))))))))) (forall ((C_1 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat C_1))) (=> (= A_3 B_2) (=> (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat B_2) C_1)) (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_2)))) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_3) C_1)) (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_3)))))))) (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Y) Z_1)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Z_1)))))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X) Y)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Y) X)) (= X Y)))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat M) N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat N) M)) (= M N)))) (forall ((C_1 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_3))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_2)) (=> (= B_2 C_1) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 C_1)))))) (forall ((C_1 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (= A_3 B_2) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat B_2) C_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_3) C_1))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_3) B_2)))) (=> _let_1 (=> (not (= A_3 B_2)) (and _let_1 (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat B_2) A_3)))))))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X) Y)))) (=> _let_1 (or (and _let_1 (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Y) X)))) (= X Y))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Ya) Xa)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Xa) Ya)) (= Xa Ya)))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (= X Y) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X) Y)))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_3) B_2)))) (=> (not (= A_3 B_2)) (=> _let_1 (and _let_1 (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat B_2) A_3)))))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Xa) Ya)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Ya) Xa)))))) (= _let_1 _let_1))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Xa) Ya)))) (= (and _let_1 (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Ya) Xa)))) (and _let_1 (not (= Xa Ya)))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Xa) Ya)))) (= _let_1 (or (and _let_1 (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Ya) Xa)))) (= Xa Ya))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (= Xa Ya) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Xa) Ya)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Ya) Xa))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X) X)))) (not (and _let_1 (not _let_1))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Xa) Ya)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Ya) Xa))) (= Xa Ya))) (forall ((Xa $$unsorted) (Ya $$unsorted) (P_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int (tptp.hAPP_b1463609396nt_int tptp.if_int P_1) Xa) Ya)))) (let ((_let_2 (tptp.hBOOL P_1))) (and (=> _let_2 (= (tptp.hAPP_int_nat tptp.nat Xa) _let_1)) (=> (not _let_2) (= (tptp.hAPP_int_nat tptp.nat Ya) _let_1)))))) (forall ((A_27 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_rat tptp.abs_abs_rat A_27))) (= (tptp.hAPP_rat_rat tptp.abs_abs_rat _let_1) _let_1))) (forall ((A_27 $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real tptp.abs_abs_real A_27))) (= (tptp.hAPP_real_real tptp.abs_abs_real _let_1) _let_1))) (forall ((A_27 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.abs_abs_int A_27))) (= (tptp.hAPP_int_int tptp.abs_abs_int _let_1) _let_1))) (forall ((W $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int W) Z_1))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int tptp.abs_abs_int W))) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int tptp.abs_abs_int Z_1))))) (forall ((Ma $$unsorted) (Z_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int Ma)) Z_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Ma) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int tptp.abs_abs_int Z_2)))))) (forall ((Z_2 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int Z_2) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Ma))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int tptp.abs_abs_int Z_2))) Ma)))) (forall ((A_1 $$unsorted)) (= (= (tptp.hAPP_rat_rat tptp.abs_abs_rat A_1) tptp.zero_zero_rat) (= A_1 tptp.zero_zero_rat))) (forall ((A_1 $$unsorted)) (= (= (tptp.hAPP_real_real tptp.abs_abs_real A_1) tptp.zero_zero_real) (= A_1 tptp.zero_zero_real))) (forall ((A_1 $$unsorted)) (=> (tptp.is_int A_1) (= (= (tptp.hAPP_int_int tptp.abs_abs_int A_1) tptp.zero_zero_int) (= A_1 tptp.zero_zero_int)))) (= (tptp.hAPP_rat_rat tptp.abs_abs_rat tptp.zero_zero_rat) tptp.zero_zero_rat) (= (tptp.hAPP_real_real tptp.abs_abs_real tptp.zero_zero_real) tptp.zero_zero_real) (= (tptp.hAPP_int_int tptp.abs_abs_int tptp.zero_zero_int) tptp.zero_zero_int) (forall ((A_26 $$unsorted)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_26) (tptp.hAPP_rat_rat tptp.abs_abs_rat A_26)))) (forall ((A_26 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_26) (tptp.hAPP_real_real tptp.abs_abs_real A_26)))) (forall ((A_26 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_26) (tptp.hAPP_int_int tptp.abs_abs_int A_26)))) (forall ((A_25 $$unsorted) (B_19 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat tptp.abs_abs_rat A_25)) B_19)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_25) B_19)))) (forall ((A_25 $$unsorted) (B_19 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real A_25)) B_19)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_25) B_19)))) (forall ((A_25 $$unsorted) (B_19 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.abs_abs_int A_25)) B_19)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_25) B_19)))) (forall ((A_24 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_rat tptp.abs_abs_rat A_24))) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat _let_1) _let_1) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_24) A_24)))) (forall ((A_24 $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real tptp.abs_abs_real A_24))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real _let_1) _let_1) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_24) A_24)))) (forall ((A_24 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.abs_abs_int A_24))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int _let_1) _let_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_24) A_24)))) (forall ((A_23 $$unsorted) (B_18 $$unsorted)) (= (tptp.hAPP_rat_rat tptp.abs_abs_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_23) B_18)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat tptp.abs_abs_rat A_23)) (tptp.hAPP_rat_rat tptp.abs_abs_rat B_18)))) (forall ((A_23 $$unsorted) (B_18 $$unsorted)) (= (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_23) B_18)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.abs_abs_real A_23)) (tptp.hAPP_real_real tptp.abs_abs_real B_18)))) (forall ((A_23 $$unsorted) (B_18 $$unsorted)) (= (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_23) B_18)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.abs_abs_int A_23)) (tptp.hAPP_int_int tptp.abs_abs_int B_18)))) (forall ((A_22 $$unsorted) (B_17 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat tptp.abs_abs_rat A_22)) (tptp.hAPP_rat_rat tptp.abs_abs_rat B_17)))) (= (tptp.hAPP_rat_rat tptp.abs_abs_rat _let_1) _let_1))) (forall ((A_22 $$unsorted) (B_17 $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real tptp.abs_abs_real A_22)) (tptp.hAPP_real_real tptp.abs_abs_real B_17)))) (= (tptp.hAPP_real_real tptp.abs_abs_real _let_1) _let_1))) (forall ((A_22 $$unsorted) (B_17 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.abs_abs_int A_22)) (tptp.hAPP_int_int tptp.abs_abs_int B_17)))) (= (tptp.hAPP_int_int tptp.abs_abs_int _let_1) _let_1))) (= (tptp.hAPP_rat_rat tptp.abs_abs_rat tptp.one_one_rat) tptp.one_one_rat) (= (tptp.hAPP_real_real tptp.abs_abs_real tptp.one_one_real) tptp.one_one_real) (= (tptp.hAPP_int_int tptp.abs_abs_int tptp.one_one_int) tptp.one_one_int) (forall ((A_21 $$unsorted) (B_16 $$unsorted)) (= (tptp.hAPP_rat_rat tptp.abs_abs_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat A_21) B_16)) (tptp.hAPP_rat_rat tptp.abs_abs_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat B_16) A_21)))) (forall ((A_21 $$unsorted) (B_16 $$unsorted)) (= (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real A_21) B_16)) (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real B_16) A_21)))) (forall ((A_21 $$unsorted) (B_16 $$unsorted)) (= (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_21) B_16)) (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int B_16) A_21)))) (forall ((A_20 $$unsorted) (N_9 $$unsorted)) (= (tptp.hAPP_rat_rat tptp.abs_abs_rat (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat A_20) N_9)) (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat (tptp.hAPP_rat_rat tptp.abs_abs_rat A_20)) N_9))) (forall ((A_20 $$unsorted) (N_9 $$unsorted)) (= (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_20) N_9)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real tptp.abs_abs_real A_20)) N_9))) (forall ((A_20 $$unsorted) (N_9 $$unsorted)) (= (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_20) N_9)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int tptp.abs_abs_int A_20)) N_9))) (forall ((L_3 $$unsorted) (K_5 $$unsorted)) (=> (= (tptp.hAPP_int_int tptp.abs_abs_int L_3) (tptp.hAPP_int_int tptp.abs_abs_int K_5)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int L_3) K_5)))) (forall ((L_3 $$unsorted) (K_5 $$unsorted)) (=> (= (tptp.hAPP_rat_rat tptp.abs_abs_rat L_3) (tptp.hAPP_rat_rat tptp.abs_abs_rat K_5)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat L_3) K_5)))) (forall ((L_3 $$unsorted) (K_5 $$unsorted)) (=> (= (tptp.hAPP_real_real tptp.abs_abs_real L_3) (tptp.hAPP_real_real tptp.abs_abs_real K_5)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real L_3) K_5)))) (forall ((Ma $$unsorted) (K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_int_int tptp.abs_abs_int Ma)) K)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int Ma) K)))) (forall ((Ma $$unsorted) (K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat (tptp.hAPP_rat_rat tptp.abs_abs_rat Ma)) K)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat Ma) K)))) (forall ((Ma $$unsorted) (K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real (tptp.hAPP_real_real tptp.abs_abs_real Ma)) K)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real Ma) K)))) (forall ((Ma $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int Ma))) (= (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int tptp.abs_abs_int K))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 K))))) (forall ((Ma $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.dvd_dvd_rat Ma))) (= (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 (tptp.hAPP_rat_rat tptp.abs_abs_rat K))) (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 K))))) (forall ((Ma $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.dvd_dvd_real Ma))) (= (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real tptp.abs_abs_real K))) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 K))))) (forall ((N_8 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_rat tptp.semiri151668891at_rat N_8))) (= (tptp.hAPP_rat_rat tptp.abs_abs_rat _let_1) _let_1))) (forall ((N_8 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_real tptp.semiri132038758t_real N_8))) (= (tptp.hAPP_real_real tptp.abs_abs_real _let_1) _let_1))) (forall ((N_8 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_int tptp.semiri1621563631at_int N_8))) (= (tptp.hAPP_int_int tptp.abs_abs_int _let_1) _let_1))) (forall ((M $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_int tptp.semiri1621563631at_int M))) (= (tptp.hAPP_int_int tptp.abs_abs_int _let_1) _let_1))) (forall ((N $$unsorted)) (= (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_nat_int tptp.semiri1621563631at_int N)) N)) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int A_3) B_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int B_2) A_3)) (= (tptp.hAPP_int_int tptp.abs_abs_int A_3) (tptp.hAPP_int_int tptp.abs_abs_int B_2))))) (forall ((A_19 $$unsorted)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.hAPP_rat_rat tptp.abs_abs_rat A_19)))) (forall ((A_19 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_real_real tptp.abs_abs_real A_19)))) (forall ((A_19 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_int_int tptp.abs_abs_int A_19)))) (forall ((A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat tptp.abs_abs_rat A_1)) tptp.zero_zero_rat)) (= A_1 tptp.zero_zero_rat))) (forall ((A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real A_1)) tptp.zero_zero_real)) (= A_1 tptp.zero_zero_real))) (forall ((A_1 $$unsorted)) (=> (tptp.is_int A_1) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.abs_abs_int A_1)) tptp.zero_zero_int)) (= A_1 tptp.zero_zero_int)))) (forall ((A_18 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A_18)) (= (tptp.hAPP_rat_rat tptp.abs_abs_rat A_18) A_18))) (forall ((A_18 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A_18)) (= (tptp.hAPP_real_real tptp.abs_abs_real A_18) A_18))) (forall ((A_18 $$unsorted)) (=> (tptp.is_int A_18) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) A_18)) (= (tptp.hAPP_int_int tptp.abs_abs_int A_18) A_18)))) (forall ((A_17 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) A_17)) (= (tptp.hAPP_rat_rat tptp.abs_abs_rat A_17) A_17))) (forall ((A_17 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) A_17)) (= (tptp.hAPP_real_real tptp.abs_abs_real A_17) A_17))) (forall ((A_17 $$unsorted)) (=> (tptp.is_int A_17) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) A_17)) (= (tptp.hAPP_int_int tptp.abs_abs_int A_17) A_17)))) (forall ((A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.hAPP_rat_rat tptp.abs_abs_rat A_1))) (not (= A_1 tptp.zero_zero_rat)))) (forall ((A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.hAPP_real_real tptp.abs_abs_real A_1))) (not (= A_1 tptp.zero_zero_real)))) (forall ((A_1 $$unsorted)) (=> (tptp.is_int A_1) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.hAPP_int_int tptp.abs_abs_int A_1))) (not (= A_1 tptp.zero_zero_int))))) (forall ((A_16 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat tptp.abs_abs_rat A_16)) tptp.zero_zero_rat)))) (forall ((A_16 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.abs_abs_real A_16)) tptp.zero_zero_real)))) (forall ((A_16 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.abs_abs_int A_16)) tptp.zero_zero_int)))) (forall ((B_15 $$unsorted) (D_6 $$unsorted) (A_15 $$unsorted) (C_5 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_rat tptp.abs_abs_rat B_15))) (let ((_let_2 (tptp.hAPP_rat_rat tptp.abs_abs_rat A_15))) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat _let_2) C_5)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat _let_1) D_6)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat _let_2) _let_1)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat C_5) D_6)))))))) (forall ((B_15 $$unsorted) (D_6 $$unsorted) (A_15 $$unsorted) (C_5 $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real tptp.abs_abs_real B_15))) (let ((_let_2 (tptp.hAPP_real_real tptp.abs_abs_real A_15))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real _let_2) C_5)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real _let_1) D_6)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real _let_2) _let_1)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real C_5) D_6)))))))) (forall ((B_15 $$unsorted) (D_6 $$unsorted) (A_15 $$unsorted) (C_5 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.abs_abs_int B_15))) (let ((_let_2 (tptp.hAPP_int_int tptp.abs_abs_int A_15))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int _let_2) C_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int _let_1) D_6)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int _let_2) _let_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int C_5) D_6)))))))) (forall ((A_14 $$unsorted) (B_14 $$unsorted)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat tptp.abs_abs_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_14) B_14))) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat tptp.abs_abs_rat A_14)) (tptp.hAPP_rat_rat tptp.abs_abs_rat B_14))))) (forall ((A_14 $$unsorted) (B_14 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_14) B_14))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real tptp.abs_abs_real A_14)) (tptp.hAPP_real_real tptp.abs_abs_real B_14))))) (forall ((A_14 $$unsorted) (B_14 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_14) B_14))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.abs_abs_int A_14)) (tptp.hAPP_int_int tptp.abs_abs_int B_14))))) (forall ((A_13 $$unsorted) (B_13 $$unsorted)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat (tptp.hAPP_rat_rat tptp.abs_abs_rat A_13)) (tptp.hAPP_rat_rat tptp.abs_abs_rat B_13))) (tptp.hAPP_rat_rat tptp.abs_abs_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat B_13) A_13))))) (forall ((A_13 $$unsorted) (B_13 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real tptp.abs_abs_real A_13)) (tptp.hAPP_real_real tptp.abs_abs_real B_13))) (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real B_13) A_13))))) (forall ((A_13 $$unsorted) (B_13 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int tptp.abs_abs_int A_13)) (tptp.hAPP_int_int tptp.abs_abs_int B_13))) (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int B_13) A_13))))) (forall ((A_12 $$unsorted) (B_12 $$unsorted)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat (tptp.hAPP_rat_rat tptp.abs_abs_rat A_12)) (tptp.hAPP_rat_rat tptp.abs_abs_rat B_12))) (tptp.hAPP_rat_rat tptp.abs_abs_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat A_12) B_12))))) (forall ((A_12 $$unsorted) (B_12 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real tptp.abs_abs_real A_12)) (tptp.hAPP_real_real tptp.abs_abs_real B_12))) (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real A_12) B_12))))) (forall ((A_12 $$unsorted) (B_12 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int tptp.abs_abs_int A_12)) (tptp.hAPP_int_int tptp.abs_abs_int B_12))) (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_12) B_12))))) (forall ((A_11 $$unsorted) (B_11 $$unsorted)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat tptp.abs_abs_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat (tptp.hAPP_rat_rat tptp.abs_abs_rat A_11)) (tptp.hAPP_rat_rat tptp.abs_abs_rat B_11)))) (tptp.hAPP_rat_rat tptp.abs_abs_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat A_11) B_11))))) (forall ((A_11 $$unsorted) (B_11 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real tptp.abs_abs_real A_11)) (tptp.hAPP_real_real tptp.abs_abs_real B_11)))) (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real A_11) B_11))))) (forall ((A_11 $$unsorted) (B_11 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int tptp.abs_abs_int A_11)) (tptp.hAPP_int_int tptp.abs_abs_int B_11)))) (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_11) B_11))))) (= _let_122 tptp.zero_zero_nat) (= tptp.zero_zero_nat _let_122) (forall ((M $$unsorted) (N $$unsorted)) (=> (= (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int M) N)) tptp.one_one_int) (= (tptp.hAPP_int_int tptp.abs_abs_int M) tptp.one_one_int))) (forall ((Z_3 $$unsorted) (Z_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (and (tptp.is_int Z_3) (tptp.is_int Z_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Z_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Z_3)) (= (= (tptp.hAPP_int_nat tptp.nat Z_2) (tptp.hAPP_int_nat tptp.nat Z_3)) (= Z_2 Z_3))))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (and (tptp.is_int Ya) (tptp.is_int Xa)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Xa)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Ya)) (= (= (tptp.hAPP_int_nat tptp.nat Xa) (tptp.hAPP_int_nat tptp.nat Ya)) (= Xa Ya))))))) (forall ((P_1 $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 X1))) (forall ((X_1 $$unsorted)) (=> (tptp.is_int X_1) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X_1)) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 (tptp.hAPP_int_nat tptp.nat X_1)))))))) (forall ((P_1 $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 X1))) (exists ((X_1 $$unsorted)) (and (tptp.is_int X_1) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X_1)) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 (tptp.hAPP_int_nat tptp.nat X_1))))))) (forall ((V_1 $$unsorted)) (= (tptp.hAPP_int_nat tptp.number_number_of_nat V_1) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int tptp.number_number_of_int V_1)))) (forall ((W $$unsorted)) (= (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int tptp.number_number_of_int W)) (tptp.hAPP_int_nat tptp.number_number_of_nat W))) (= tptp.one_one_nat _let_85) (forall ((Z_2 $$unsorted)) (=> (tptp.is_int Z_2) (= (= (tptp.hAPP_int_int tptp.abs_abs_int Z_2) tptp.one_one_int) (or (= Z_2 tptp.one_one_int) (= Z_2 (tptp.hAPP_int_int tptp.number_number_of_int tptp.min)))))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int Xa) tptp.one_one_int)) (= (tptp.hAPP_int_int tptp.abs_abs_int Xa) tptp.one_one_int))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (P_3 $$unsorted) (Q_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2))) (let ((_let_2 (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_P1175774780nt_int tptp.twoSqu1907779896sum2sq (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int A_3) B_2))) (tptp.hAPP_P1175774780nt_int tptp.twoSqu1907779896sum2sq (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int P_3) Q_1))) (tptp.hAPP_P1175774780nt_int tptp.twoSqu1907779896sum2sq (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_2 P_3)) (tptp.hAPP_int_int _let_1 Q_1))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int _let_2 Q_1)) (tptp.hAPP_int_int _let_1 P_3)))))))) (forall ((Y_4 $$unsorted) (X_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X_4)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat tptp.abs_abs_rat Y_4)) X_4) (tptp.hAPP_rat_rat tptp.abs_abs_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Y_4) X_4))))) (forall ((Y_4 $$unsorted) (X_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X_4)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.abs_abs_real Y_4)) X_4) (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Y_4) X_4))))) (forall ((Y_4 $$unsorted) (X_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X_4)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.abs_abs_int Y_4)) X_4) (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Y_4) X_4))))) (forall ((B_10 $$unsorted) (A_10 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat))) (=> (and (or (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 A_10)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat A_10) tptp.zero_zero_rat))) (or (tptp.hBOOL (tptp.hAPP_rat_bool _let_1 B_10)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat B_10) tptp.zero_zero_rat)))) (= (tptp.hAPP_rat_rat tptp.abs_abs_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat A_10) B_10)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_rat_rat tptp.abs_abs_rat A_10)) (tptp.hAPP_rat_rat tptp.abs_abs_rat B_10)))))) (forall ((B_10 $$unsorted) (A_10 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (=> (and (or (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_10)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_10) tptp.zero_zero_real))) (or (tptp.hBOOL (tptp.hAPP_real_bool _let_1 B_10)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real B_10) tptp.zero_zero_real)))) (= (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_10) B_10)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.abs_abs_real A_10)) (tptp.hAPP_real_real tptp.abs_abs_real B_10)))))) (forall ((B_10 $$unsorted) (A_10 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (and (or (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_10)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_10) tptp.zero_zero_int))) (or (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_10)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_10) tptp.zero_zero_int)))) (= (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_10) B_10)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.abs_abs_int A_10)) (tptp.hAPP_int_int tptp.abs_abs_int B_10)))))) (forall ((A_9 $$unsorted) (N_7 $$unsorted)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.hAPP_nat_rat (tptp.hAPP_rat_fun_nat_rat tptp.power_power_rat (tptp.hAPP_rat_rat tptp.abs_abs_rat A_9)) N_7)))) (forall ((A_9 $$unsorted) (N_7 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real tptp.abs_abs_real A_9)) N_7)))) (forall ((A_9 $$unsorted) (N_7 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int tptp.abs_abs_int A_9)) N_7)))) (forall ((A_8 $$unsorted) (B_9 $$unsorted)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat tptp.abs_abs_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat A_8) B_9))) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat tptp.abs_abs_rat A_8)) (tptp.hAPP_rat_rat tptp.abs_abs_rat B_9))))) (forall ((A_8 $$unsorted) (B_9 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real A_8) B_9))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real tptp.abs_abs_real A_8)) (tptp.hAPP_real_real tptp.abs_abs_real B_9))))) (forall ((A_8 $$unsorted) (B_9 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_8) B_9))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.abs_abs_int A_8)) (tptp.hAPP_int_int tptp.abs_abs_int B_9))))) (forall ((A_7 $$unsorted) (B_8 $$unsorted) (C_4 $$unsorted) (D_5 $$unsorted)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_rat_rat tptp.abs_abs_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat A_7) B_8)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat C_4) D_5)))) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_rat_rat tptp.abs_abs_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat A_7) C_4))) (tptp.hAPP_rat_rat tptp.abs_abs_rat (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat B_8) D_5)))))) (forall ((A_7 $$unsorted) (B_8 $$unsorted) (C_4 $$unsorted) (D_5 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_7) B_8)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real C_4) D_5)))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real A_7) C_4))) (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real B_8) D_5)))))) (forall ((A_7 $$unsorted) (B_8 $$unsorted) (C_4 $$unsorted) (D_5 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_7) B_8)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int C_4) D_5)))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_7) C_4))) (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int B_8) D_5)))))) (= (tptp.hAPP_rat_rat tptp.abs_abs_rat (tptp.hAPP_int_rat tptp.number_number_of_rat tptp.min)) tptp.one_one_rat) (= (tptp.hAPP_real_real tptp.abs_abs_real _let_45) tptp.one_one_real) (= (tptp.hAPP_int_int tptp.abs_abs_int _let_79) tptp.one_one_int) (forall ((I_1 $$unsorted)) (= (= (tptp.hAPP_int_nat tptp.nat I_1) tptp.zero_zero_nat) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int I_1) tptp.zero_zero_int)))) (forall ((Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Z_1) tptp.zero_zero_int)) (= (tptp.hAPP_int_nat tptp.nat Z_1) tptp.zero_zero_nat))) (forall ((Z_2 $$unsorted)) (=> (tptp.is_int Z_2) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.abs_abs_int Z_2)) tptp.one_one_int)) (= Z_2 tptp.zero_zero_int)))) (forall ((Wa $$unsorted) (Z_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_int_nat tptp.nat Wa)) (tptp.hAPP_int_nat tptp.nat Z_2))) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) Z_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Wa) Z_2))))) (forall ((Wa $$unsorted) (Z_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) Z_2)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_int_nat tptp.nat Wa)) (tptp.hAPP_int_nat tptp.nat Z_2))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Wa) Z_2))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Xa)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Ya)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_int_nat tptp.nat Xa)) (tptp.hAPP_int_nat tptp.nat Ya))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Xa) Ya))))))) (forall ((Z_1 $$unsorted)) (=> (tptp.is_int Z_1) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z_1)) (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_int_nat tptp.nat Z_1)) Z_1)))) (forall ((Ma $$unsorted) (Z_2 $$unsorted)) (=> (tptp.is_int Z_2) (= (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int Ma) Z_2) (and (= Ma (tptp.hAPP_int_nat tptp.nat Z_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z_2)))))) (forall ((Z_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_int_nat tptp.nat Z_1)))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z_1)))) (=> (tptp.is_int Z_1) (and (=> _let_2 (= _let_1 Z_1)) (=> (not _let_2) (= _let_1 tptp.zero_zero_int))))))) (forall ((X $$unsorted) (N $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int tptp.abs_abs_int X)) N)))) (forall ((Ma $$unsorted) (Z_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) (tptp.hAPP_int_nat tptp.nat Z_2))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int Ma)) Z_2)))) (forall ((D_3 $$unsorted) (I $$unsorted)) (=> (tptp.is_int I) (=> (not (= I tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int D_3) I)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.abs_abs_int D_3)) (tptp.hAPP_int_int tptp.abs_abs_int I))))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Xa)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Ya)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_int_nat tptp.nat Xa)) (tptp.hAPP_int_nat tptp.nat Ya))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int Xa) Ya))))))) (forall ((Z_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.hAPP_int_nat tptp.nat Z_2))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) Z_2)))) (= _let_84 (tptp.hAPP_int_nat tptp.nat _let_11)) (forall ((Z_2 $$unsorted) (Wa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Wa)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_int_nat tptp.nat Wa)) (tptp.hAPP_int_nat tptp.nat Z_2))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Wa) Z_2))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Xa)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Ya)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_int_nat tptp.nat Xa)) (tptp.hAPP_int_nat tptp.nat Ya))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Xa) Ya))))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X) _let_1)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int tptp.abs_abs_int X)) _let_1)))) (forall ((Xa $$unsorted) (Na $$unsorted)) (=> (tptp.is_int Xa) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int tptp.abs_abs_int Xa)) Na))) (or (not (= Xa tptp.zero_zero_int)) (= Na tptp.zero_zero_nat))))) (forall ((P_1 $$unsorted) (I_1 $$unsorted)) (=> (tptp.is_int I_1) (= (tptp.hBOOL (tptp.hAPP_nat_bool P_1 (tptp.hAPP_int_nat tptp.nat I_1))) (and (forall ((N_1 $$unsorted)) (=> (= I_1 (tptp.hAPP_nat_int tptp.semiri1621563631at_int N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 N_1)))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int I_1) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 tptp.zero_zero_nat))))))) (forall ((Wa $$unsorted) (Ma $$unsorted)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Wa)))) (=> (tptp.is_int Wa) (= (= (tptp.hAPP_int_nat tptp.nat Wa) Ma) (and (=> _let_1 (= Wa (tptp.hAPP_nat_int tptp.semiri1621563631at_int Ma))) (=> (not _let_1) (= Ma tptp.zero_zero_nat))))))) (forall ((Ma $$unsorted) (Wa $$unsorted)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Wa)))) (=> (tptp.is_int Wa) (= (= Ma (tptp.hAPP_int_nat tptp.nat Wa)) (and (=> _let_1 (= Wa (tptp.hAPP_nat_int tptp.semiri1621563631at_int Ma))) (=> (not _let_1) (= Ma tptp.zero_zero_nat))))))) (forall ((Z_2 $$unsorted) (Wa $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) Wa)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z_2))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_int_nat tptp.nat Wa)) (tptp.hAPP_int_nat tptp.nat Z_2))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Wa) Z_2))))) (forall ((Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Y)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.nat X)) (tptp.hAPP_int_nat tptp.nat Y)) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int X) Y))))))) (forall ((Z_4 $$unsorted) (Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z_1)) (= (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Z_1) Z_4)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.nat Z_1)) (tptp.hAPP_int_nat tptp.nat Z_4))))) (forall ((Z_4 $$unsorted) (Z_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Z_1)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Z_4)) (= (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Z_1) Z_4)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_int_nat tptp.nat Z_1)) (tptp.hAPP_int_nat tptp.nat Z_4))))))) (forall ((Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Y)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_int_nat tptp.nat X)) (tptp.hAPP_int_nat tptp.nat Y)) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X) Y))))))) (forall ((Na $$unsorted) (Ma $$unsorted)) (=> (tptp.is_int Ma) (=> (not (= Ma tptp.zero_zero_int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Ma) Na)) Ma)) (= (tptp.hAPP_int_int tptp.abs_abs_int Na) tptp.one_one_int))))) (forall ((Ma $$unsorted) (Va $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int Va))) (= (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int Ma) _let_1) (and (= Ma (tptp.hAPP_int_nat tptp.nat _let_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) _let_1)))))) (forall ((Z_1 $$unsorted) (Z_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z_4)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Z_4) Z_1)) (= (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Z_1) Z_4)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_int_nat tptp.nat Z_1)) (tptp.hAPP_int_nat tptp.nat Z_4)))))) (forall ((N $$unsorted) (Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z_1)) (= (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Z_1) N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat (tptp.hAPP_int_nat tptp.nat Z_1)) N)))) (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat (tptp.hAPP_int_nat tptp.nat X)) N) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X) N))))) (forall ((X $$unsorted) (P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int P_3) X))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_3) tptp.one_one_int)))) tptp.one_one_int) P_3))))) (= _let_3 _let_82) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_1) _let_1) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int B_1) _let_1)) (= (tptp.hAPP_int_int tptp.abs_abs_int A_1) (tptp.hAPP_int_int tptp.abs_abs_int B_1))))) (forall ((A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_3) _let_1)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int tptp.abs_abs_int A_3)) _let_1)))) (forall ((Ma $$unsorted) (Wa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Wa)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_int_nat tptp.nat Wa)) Ma)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Wa) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Ma)))))) (forall ((Z_2 $$unsorted) (Ma $$unsorted)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z_2)))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_int_nat tptp.nat Z_2)) Ma)) (and (=> _let_1 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int Z_2) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Ma)))) (=> (not _let_1) (= Ma tptp.zero_zero_nat)))))) (forall ((A_3 $$unsorted)) (=> (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_3) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) tptp.one_one_int) (= (tptp.hAPP_int_int tptp.abs_abs_int A_3) tptp.one_one_int))) (forall ((X $$unsorted) (Z_1 $$unsorted) (D_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D_3)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_int_int _let_1 Z_1))) tptp.one_one_int)) D_3))) Z_1))))) (forall ((Z_1 $$unsorted) (X $$unsorted) (D_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D_3)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Z_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X) Z_1))) tptp.one_one_int)) D_3)))))) (forall ((A_3 $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.nat P_3))) (let ((_let_2 (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_3))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) P_3)) (= (tptp.hAPP_nat_int _let_2 _let_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) (tptp.hAPP_nat_int _let_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat _let_1) tptp.one_one_nat)))))))) (forall ((P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int _let_1) P_3)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_3) _let_1))))))) (forall ((P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_int_int tptp.number_number_of_int _let_1))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int _let_2) P_3)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_int_nat tptp.nat P_3)) (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1)) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_3) _let_2))))))) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) X)) (exists ((N_1 $$unsorted)) (and (tptp.is_int N_1) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Y) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int N_1) X))))) X)))))) (forall ((K $$unsorted) (F $$unsorted) (Na $$unsorted)) (=> (tptp.is_int K) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) Na)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_nat_int F (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_2) tptp.one_one_nat))) (tptp.hAPP_nat_int F I_2)))) tptp.one_one_int)))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int F tptp.zero_zero_nat)) K)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K) (tptp.hAPP_nat_int F Na))) (exists ((I_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2) Na)) (= (tptp.hAPP_nat_int F I_2) K)))))))) (forall ((K $$unsorted) (F $$unsorted) (Na $$unsorted)) (=> (tptp.is_int K) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) Na)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_nat_int F (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_2) tptp.one_one_nat))) (tptp.hAPP_nat_int F I_2)))) tptp.one_one_int)))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int F tptp.zero_zero_nat)) K)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K) (tptp.hAPP_nat_int F Na))) (exists ((I_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2) Na)) (= (tptp.hAPP_nat_int F I_2) K)))))))) (forall ((Xa $$unsorted)) (=> (tptp.is_int Xa) (= (tptp.hBOOL (tptp.hAPP_int_bool tptp.twoSqu1770640450sum2sq Xa)) (exists ((A_2 $$unsorted) (B_4 $$unsorted)) (and (tptp.is_int A_2) (tptp.is_int B_4) (= (tptp.hAPP_P1175774780nt_int tptp.twoSqu1907779896sum2sq (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int A_2) B_4)) Xa)))))) (forall ((K $$unsorted) (F $$unsorted) (Na $$unsorted) (Ma $$unsorted)) (=> (tptp.is_int K) (=> (forall ((I_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ma) I_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) Na))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_nat_int F (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_2) tptp.one_one_nat))) (tptp.hAPP_nat_int F I_2)))) tptp.one_one_int)))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) Na)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int F Ma)) K)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K) (tptp.hAPP_nat_int F Na))) (exists ((I_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ma) I_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2) Na)) (= (tptp.hAPP_nat_int F I_2) K))))))))) (forall ((I $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.nat_aux I) N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_int_nat tptp.nat I)) N))) (forall ((P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int tptp.zfact (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_3) tptp.one_one_int))) (tptp.hAPP_int_int tptp.number_number_of_int tptp.min)) P_3)))) (forall ((X $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int _let_1) P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong X) tptp.zero_zero_int) P_3))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.quadRes P_3) X))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_3) tptp.one_one_int)) _let_1)))) (tptp.hAPP_int_int tptp.number_number_of_int tptp.min)) P_3)))))))) (forall ((B_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int tptp.zero_zero_int) B_2) tptp.zero_zero_int)) (forall ((A_3 $$unsorted)) (=> (tptp.is_int A_3) (=> (not (= A_3 tptp.zero_zero_int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) A_3) tptp.one_one_int)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_1)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_1) B_1)) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) tptp.zero_zero_int))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_1) tptp.zero_zero_int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_1) B_1)) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) A_1))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_3) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) B_2)) tptp.zero_zero_int))))) (forall ((Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Y)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int X) Y))))))) (forall ((V_1 $$unsorted) (W $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 V_1))) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 W))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int tptp.number_number_of_int V_1)) (tptp.hAPP_int_int tptp.number_number_of_int W)))) (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.is_int M) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int N) M)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int N) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int M) N)) M)))) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int Y) X)) (= (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int X) Y)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int tptp.abs_abs_int X)) (tptp.hAPP_int_int tptp.abs_abs_int Y))))) (forall ((K_2 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) K_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int X) K_2)) X))))) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) Z_1)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Y) Z_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int X) Z_1)) Y))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (C_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) C_1)) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2) C_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int _let_1 B_2)) C_1))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted) (A_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_3) A_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_2) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_5) B_2)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) B_2)))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted) (A_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_3) A_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) B_2)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_5) B_2)))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_3) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_2) A_3)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) B_2) tptp.zero_zero_int)))) (forall ((B_2 $$unsorted) (B_5 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_3) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_5) B_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int _let_1 B_5)) (tptp.hAPP_int_int _let_1 B_2)))))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_3) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) B_2)) tptp.zero_zero_int))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_1) tptp.zero_zero_int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_1) B_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_1) tptp.zero_zero_int))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_3) B_2)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) B_2) tptp.zero_zero_int)))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_2) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) B_2)) tptp.zero_zero_int))))) (forall ((B_2 $$unsorted) (B_5 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_5) B_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int _let_1 B_2)) (tptp.hAPP_int_int _let_1 B_5)))))))) (forall ((B_1 $$unsorted) (A_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) A_1)) (= (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_1) B_1))) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_1) A_1)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_1))))))) (forall ((I_1 $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 K)) (= (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int I_1) K))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K) I_1)))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_1)) (= (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_1) B_1))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_1)))))) (forall ((I_1 $$unsorted) (K $$unsorted)) (=> (tptp.is_int K) (= (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int I_1) K) tptp.zero_zero_int) (or (= K tptp.zero_zero_int) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) I_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int I_1) K))) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int I_1) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) I_1))))))) (forall ((X $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real tptp.abs_abs_real X)) tptp.one_one_real)) X)))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) Y)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Y) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int X) Y))) X)))) (forall ((B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int tptp.min))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_2)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int _let_1) B_2) _let_1)))) (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.one_one_real) (tptp.hAPP_real_real tptp.abs_abs_real X))))) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) Z_1)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Y) Z_1)) Z_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int X) Z_1)) Y))))) (forall ((A_6 $$unsorted) (B_7 $$unsorted) (Y $$unsorted) (R_5 $$unsorted)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_7)))) (=> (and (tptp.is_int B_7) (tptp.is_int Y)) (=> (= A_6 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_7) Y)) R_5)) (=> (and (=> _let_1 (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) R_5)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int R_5) B_7)))) (=> (not _let_1) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_7) R_5)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int R_5) tptp.zero_zero_int))))) (=> (not (= B_7 tptp.zero_zero_int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_6) B_7) Y))))))) (forall ((P_1 $$unsorted) (Na $$unsorted) (K $$unsorted)) (=> (and (tptp.is_int Na) (tptp.is_int K)) (= (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int Na) K))) (and (=> (= K tptp.zero_zero_int) (tptp.hBOOL (tptp.hAPP_int_bool P_1 tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) K)) (forall ((I_2 $$unsorted) (J_1 $$unsorted)) (=> (and (tptp.is_int I_2) (tptp.is_int J_1)) (=> (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) J_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int J_1) K)) (= Na (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K) I_2)) J_1))) (tptp.hBOOL (tptp.hAPP_int_bool P_1 I_2)))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) tptp.zero_zero_int)) (forall ((I_2 $$unsorted) (J_1 $$unsorted)) (=> (and (tptp.is_int I_2) (tptp.is_int J_1)) (=> (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) J_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int J_1) tptp.zero_zero_int)) (= Na (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K) I_2)) J_1))) (tptp.hBOOL (tptp.hAPP_int_bool P_1 I_2)))))))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_3) B_2)) tptp.zero_zero_int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) B_2) (tptp.hAPP_int_int tptp.number_number_of_int tptp.min))))) (forall ((V_1 $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int W))) (let ((_let_2 (tptp.hAPP_int_int tptp.number_number_of_int V_1))) (let ((_let_3 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit1 V_1))) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 W))))) (let ((_let_4 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) _let_1)))) (and (=> _let_4 (= _let_3 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int _let_2) _let_1))) (=> (not _let_4) (= _let_3 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int _let_2) tptp.one_one_int)) _let_1))))))))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) tptp.one_one_real)))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) A_3)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.hAPP_int_int _let_1 B_2))) (tptp.hAPP_int_int _let_1 A_3)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int B_2) A_3))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_3) tptp.zero_zero_int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.hAPP_int_int _let_1 B_2))) (tptp.hAPP_int_int _let_1 A_3)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_2) tptp.one_one_int)) A_3))))) (forall ((A_3 $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (let ((_let_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_3) tptp.one_one_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int _let_1) P_3)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_3) tptp.zero_zero_int) P_3))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.quadRes P_3) A_3))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int tptp.zfact _let_2)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_3) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int _let_2) _let_1)))) P_3))))))))) (forall ((P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_int_int tptp.number_number_of_int _let_1))) (let ((_let_3 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_3) tptp.one_one_int)) _let_2))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1)) (tptp.hAPP_int_nat tptp.nat _let_3)) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int _let_2) _let_3))))))) (forall ((A_3 $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int _let_1) P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_3) tptp.zero_zero_int) P_3)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong tptp.zero_zero_int) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_3) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_3) tptp.one_one_int)) _let_1)))) P_3))))))) (forall ((A_3 $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int _let_1) P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.legendre A_3) P_3)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_3) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_3) tptp.one_one_int)) _let_1)))) P_3)))))) (forall ((X $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int _let_1) P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong X) tptp.zero_zero_int) P_3))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.quadRes P_3) X)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_3) tptp.one_one_int)) _let_1)))) tptp.one_one_int) P_3)))))))) (forall ((N $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.zfact N))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int N) tptp.zero_zero_int)))) (and (=> _let_2 (= _let_1 tptp.one_one_int)) (=> (not _let_2) (= _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int N) (tptp.hAPP_int_int tptp.zfact (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int N) tptp.one_one_int))))))))) _let_121 _let_119 (forall ((A_3 $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.inv P_3))) (=> (tptp.is_int A_3) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_3) P_3)) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int _let_1 A_3)) A_3)))))))) (forall ((J_2 $$unsorted) (A_3 $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.zcong J_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_3)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_3) tptp.zero_zero_int) P_3))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_1 tptp.zero_zero_int) P_3))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.quadRes P_3) A_3))) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) (tptp.hAPP_int_int (tptp.multInv P_3) J_2))) P_3)))))))))) (forall ((P_1 $$unsorted) (I_1 $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int I_1) K)) (=> (tptp.hBOOL (tptp.hAPP_int_bool P_1 K)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.is_int I_2) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int I_2) K)) (=> (tptp.hBOOL (tptp.hAPP_int_bool P_1 I_2)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int I_2) tptp.one_one_int))))))) (tptp.hBOOL (tptp.hAPP_int_bool P_1 I_1)))))) (= _let_99 _let_104) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int _let_6) _let_99)) (= _let_116 _let_114) (= _let_111 _let_117) (= _let_117 _let_106) (= _let_101 _let_116) (= _let_114 _let_111) (= _let_101 _let_106) (= _let_101 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_98 _let_94)) (tptp.hAPP_int_int _let_98 _let_91))) (= (tptp.hAPP_int_int _let_98 _let_97) (tptp.hAPP_int_int _let_98 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int _let_94) _let_91))) (= (tptp.hAPP_int_int _let_98 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int _let_97) _let_94)) _let_91)) tptp.zero_zero_int) (not (forall ((M1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.is_int M1) (not (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int tptp.v) _let_1)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int tptp.w) _let_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.hAPP_nat_int tptp.semiri1621563631at_int tptp.n))) M1))))))) (forall ((K_2 $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat M) K_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat N) K_2))))) (forall ((M $$unsorted) (N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat M) N)) M))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (C_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat A_3))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_2) C_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat _let_1 B_2)) C_1)))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat M) N) tptp.zero_zero_nat))) (forall ((M $$unsorted) (N $$unsorted) (K_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K_2))) (let ((_let_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat _let_1 M)) (tptp.hAPP_nat_nat _let_1 N)))) (let ((_let_3 (= K_2 tptp.zero_zero_nat))) (and (=> _let_3 (= _let_2 tptp.zero_zero_nat)) (=> (not _let_3) (= _let_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat M) N)))))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat A_3) B_2)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int A_3)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int B_2)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int X)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Y)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat X) Y)))) (forall ((J_2 $$unsorted) (K_2 $$unsorted) (A_3 $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.multInv P_3) J_2)))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int J_2) K_2)) A_3) P_3)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int _let_1 J_2)) K_2)) (tptp.hAPP_int_int _let_1 A_3)) P_3))))) (forall ((J_2 $$unsorted) (A_3 $$unsorted) (P_3 $$unsorted) (K_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) (tptp.hAPP_int_int (tptp.multInv P_3) K_2)))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong J_2) _let_1) P_3)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int J_2) K_2)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int _let_1) K_2)) P_3))))) (forall ((K_2 $$unsorted) (N $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat K_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 N)) (tptp.hAPP_nat_nat _let_1 M))))))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat N) M)) N) M))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) N)) N) M))) (forall ((M $$unsorted) (N $$unsorted) (K_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) K_2)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat _let_1 M)) (tptp.hAPP_nat_nat _let_1 N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat M) N))))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.one_one_nat) N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat M) N)) M))))) (forall ((P_1 $$unsorted) (Na $$unsorted) (K $$unsorted)) (let ((_let_1 (= K tptp.zero_zero_nat))) (= (tptp.hBOOL (tptp.hAPP_nat_bool P_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat Na) K))) (and (=> _let_1 (tptp.hBOOL (tptp.hAPP_nat_bool P_1 tptp.zero_zero_nat))) (=> (not _let_1) (forall ((I_2 $$unsorted) (J_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat J_1) K)) (=> (= Na (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K) I_2)) J_1)) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 I_2)))))))))) (forall ((Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Y)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_int_nat tptp.nat X)) (tptp.hAPP_int_nat tptp.nat Y)) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int X) Y))))))) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (= (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int X) Y)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_int_nat tptp.nat X)) (tptp.hAPP_int_nat tptp.nat Y))))) (forall ((M $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) M)) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) M)) (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.one_one_nat) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat N) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))))) (forall ((A_3 $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_3) tptp.one_one_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_3) _let_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.inv P_3) A_3)) _let_1))))))) (forall ((A_3 $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_3) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_3) tptp.one_one_int))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.inv P_3) A_3)))))))) (forall ((A_3 $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_3) tptp.one_one_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_3) _let_1)) (not (= (tptp.hAPP_int_int (tptp.inv P_3) A_3) _let_1))))))) (forall ((A_3 $$unsorted) (P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_3) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_3) tptp.one_one_int))) (not (= (tptp.hAPP_int_int (tptp.inv P_3) A_3) tptp.one_one_int)))))) (forall ((A_3 $$unsorted) (P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_3) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_3) tptp.one_one_int))) (not (= A_3 (tptp.hAPP_int_int (tptp.inv P_3) A_3))))))) (forall ((X $$unsorted) (Y $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.multInv P_3))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong X) Y) P_3)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int _let_1 X)) (tptp.hAPP_int_int _let_1 Y)) P_3)))))) (forall ((N $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))))))) (forall ((A_3 $$unsorted) (P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_3) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_3) tptp.one_one_int))) (not (= (tptp.hAPP_int_int (tptp.inv P_3) A_3) tptp.zero_zero_int)))))) (forall ((A_3 $$unsorted) (J_2 $$unsorted) (K_2 $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.multInv P_3))) (let ((_let_2 (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong J_2) K_2) P_3)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int _let_2 (tptp.hAPP_int_int _let_1 J_2))) (tptp.hAPP_int_int _let_2 (tptp.hAPP_int_int _let_1 K_2))) P_3))))))) (forall ((P_3 $$unsorted) (X $$unsorted)) (= (tptp.hAPP_int_int (tptp.multInv P_3) X) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_3) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))))) (forall ((Y $$unsorted) (X $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.zcong X))) (let ((_let_2 (tptp.multInv P_3))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_1 tptp.zero_zero_int) P_3))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong Y) tptp.zero_zero_int) P_3))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int _let_2 X)) (tptp.hAPP_int_int _let_2 Y)) P_3)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_1 Y) P_3)))))))))) (forall ((X $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.multInv P_3))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong X) tptp.zero_zero_int) P_3))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int _let_1 X))) X) P_3))))))) (forall ((X $$unsorted) (P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong X) tptp.zero_zero_int) P_3))) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.multInv P_3) X)) tptp.zero_zero_int) P_3))))))) (forall ((A_3 $$unsorted) (P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_3) P_3)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) (tptp.hAPP_int_int (tptp.inv P_3) A_3))) tptp.one_one_int) P_3)))))) (forall ((K_2 $$unsorted) (A_3 $$unsorted) (J_2 $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.multInv P_3) J_2))) (let ((_let_2 (tptp.hAPP_int_fun_int_int tptp.times_times_int _let_1))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong J_2) tptp.zero_zero_int) P_3))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int _let_2 J_2)) K_2)) (tptp.hAPP_int_int _let_2 A_3)) P_3)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong K_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) _let_1)) P_3))))))))) (forall ((J_2 $$unsorted) (A_3 $$unsorted) (K_2 $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.zcong (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int J_2) K_2)))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong K_2) tptp.zero_zero_int) P_3))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) (tptp.hAPP_int_int (tptp.multInv P_3) K_2))) K_2)) P_3)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_1 A_3) P_3)))))))) (forall ((A_3 $$unsorted) (J_2 $$unsorted) (K_2 $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.multInv P_3))) (let ((_let_2 (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3))) (let ((_let_3 (tptp.zcong K_2))) (let ((_let_4 (tptp.zcong J_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_3 tptp.zero_zero_int) P_3))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_4 tptp.zero_zero_int) P_3))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_4 (tptp.hAPP_int_int _let_2 (tptp.hAPP_int_int _let_1 K_2))) P_3)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_3 (tptp.hAPP_int_int _let_2 (tptp.hAPP_int_int _let_1 J_2))) P_3)))))))))))) (forall ((J_2 $$unsorted) (K_2 $$unsorted) (A_3 $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.zcong J_2))) (let ((_let_2 (tptp.multInv P_3))) (let ((_let_3 (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_3) tptp.zero_zero_int) P_3))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong K_2) tptp.zero_zero_int) P_3))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_1 tptp.zero_zero_int) P_3))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int _let_3 (tptp.hAPP_int_int _let_2 J_2))) (tptp.hAPP_int_int _let_3 (tptp.hAPP_int_int _let_2 K_2))) P_3)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_1 K_2) P_3)))))))))))) (forall ((X $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.multInv P_3))) (let ((_let_2 (tptp.hAPP_int_int _let_1 X))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong X) tptp.zero_zero_int) P_3))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int X) _let_2)) (tptp.hAPP_int_int _let_1 _let_2))) X) P_3)))))))) (forall ((X $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.multInv P_3))) (let ((_let_2 (tptp.hAPP_int_int _let_1 X))) (let ((_let_3 (tptp.hAPP_int_int _let_1 _let_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong X) tptp.zero_zero_int) P_3))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong _let_3) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int X) _let_2)) _let_3)) P_3))))))))) (forall ((X $$unsorted) (P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong X) tptp.zero_zero_int) P_3))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.multInv P_3) X)) X)) tptp.one_one_int) P_3)))))) (forall ((X $$unsorted) (P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong X) tptp.zero_zero_int) P_3))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int X) (tptp.hAPP_int_int (tptp.multInv P_3) X))) tptp.one_one_int) P_3)))))) (forall ((U_1 $$unsorted) (V_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (= X Y) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real U_1)) V_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) U_1)) Y))) V_1))))) (forall ((B_1 $$unsorted) (A_1 $$unsorted) (P_5 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool (tptp.wset A_1) P_5))) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) P_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_5) tptp.one_one_int))) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int B_1) _let_1)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.inv P_5) B_1)) _let_1)))))))) (forall ((B_1 $$unsorted) (A_1 $$unsorted) (P_5 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool (tptp.wset A_1) P_5))) (let ((_let_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_5) tptp.one_one_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) P_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) _let_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) B_1)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_1) _let_2)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.inv P_5) B_1)) _let_1)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int B_1) _let_1))))))))))) (forall ((X $$unsorted) (Y $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real C_1) tptp.zero_zero_real)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real X)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real C_1) (tptp.hAPP_real_real tptp.abs_abs_real Y)))) (= X tptp.zero_zero_real)))) (forall ((P_1 $$unsorted) (I_1 $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int I_1) K)) (=> (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int K) tptp.one_one_int))) (=> (forall ((I_2 $$unsorted)) (=> (tptp.is_int I_2) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int I_2) K)) (=> (tptp.hBOOL (tptp.hAPP_int_bool P_1 I_2)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int I_2) tptp.one_one_int))))))) (tptp.hBOOL (tptp.hAPP_int_bool P_1 I_1)))))) (forall ((Xa $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_2 $$unsorted)) (=> (tptp.is_int A_2) (=> (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) A_2)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_2) tptp.one_one_int)))) (tptp.hBOOL (tptp.hAPP_int_bool P_1 A_2))))) (tptp.hBOOL (tptp.hAPP_int_bool P_1 Xa)))) (forall ((P_5 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) A_1)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_1) (tptp.hAPP_i1948725293t_bool (tptp.wset A_1) P_5))))) (forall ((B_1 $$unsorted) (P_5 $$unsorted) (A_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_i2112223885l_bool tptp.member_int B_1))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) A_1)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 (tptp.hAPP_i1948725293t_bool (tptp.wset (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_1) tptp.one_one_int)) P_5))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 (tptp.hAPP_i1948725293t_bool (tptp.wset A_1) P_5))))))) (forall ((B_1 $$unsorted) (A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_5) tptp.one_one_int))) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int B_1) (tptp.hAPP_i1948725293t_bool (tptp.wset A_1) P_5))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) B_1)))))) (forall ((B_1 $$unsorted) (A_1 $$unsorted) (P_5 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_5) tptp.one_one_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int B_1) (tptp.hAPP_i1948725293t_bool (tptp.wset A_1) P_5))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_1) _let_1))))))) (forall ((B_1 $$unsorted) (P_5 $$unsorted) (A_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_i2112223885l_bool tptp.member_int B_1))) (=> (and (tptp.is_int B_1) (tptp.is_int A_1)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) A_1)) (=> (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 (tptp.hAPP_i1948725293t_bool (tptp.wset (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_1) tptp.one_one_int)) P_5)))) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 (tptp.hAPP_i1948725293t_bool (tptp.wset A_1) P_5))) (or (= B_1 A_1) (= B_1 (tptp.hAPP_int_int (tptp.inv P_5) A_1))))))))) (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K) L)) (exists ((N_1 $$unsorted)) (= L (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K) N_1))))) (forall ((B_1 $$unsorted) (A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_5) tptp.one_one_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) B_1)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_1) A_1)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int B_1) (tptp.hAPP_i1948725293t_bool (tptp.wset A_1) P_5)))))))) (forall ((Xa $$unsorted) (Ya $$unsorted) (Z_2 $$unsorted)) (= (= Xa (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real Ya) Z_2)) (= Ya (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real Xa) Z_2)))) (forall ((P_5 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_5) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_5)) (= (tptp.hAPP_i1948725293t_bool tptp.d22set _let_1) (tptp.hAPP_i1948725293t_bool (tptp.wset _let_1) P_5))))) (forall ((P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (= (tptp.phi P_3) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_3) tptp.one_one_int))))) (forall ((P_5 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int _let_1) P_5)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int P_5) tptp.zOdd)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_5) tptp.one_one_int)) _let_1))))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.abs_abs_int X))) (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_int_nat tptp.nat _let_1)) _let_1))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zOdd)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Ya) tptp.zOdd)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Xa) Ya)) tptp.zOdd))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Xa) Ya)) tptp.zOdd)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zOdd)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) B_1)) (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int B_1) (tptp.hAPP_i1948725293t_bool tptp.d22set A_1)))))) (forall ((B_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int B_1) (tptp.hAPP_i1948725293t_bool tptp.d22set A_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_1) A_1)))) (forall ((B_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int B_1) (tptp.hAPP_i1948725293t_bool tptp.d22set A_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) B_1)))) (forall ((Xa $$unsorted) (Na $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Xa) Na)) tptp.zOdd)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zOdd))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) B_1)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_1) A_1)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int B_1) (tptp.hAPP_i1948725293t_bool tptp.d22set A_1)))))) (forall ((D_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int D_3) (tptp.hAPP_int_int tptp.abs_abs_int D_3)))) (forall ((D_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_int_int tptp.abs_abs_int D_3)) D_3))) (forall ((P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_5)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int P_5) tptp.zOdd)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_5))))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int tptp.min))) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zOdd)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Xa)) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int _let_1) (tptp.hAPP_int_nat tptp.nat Xa)) _let_1))))) (forall ((Xa $$unsorted) (K $$unsorted)) (=> (= Xa (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) K)) tptp.one_one_int)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zOdd)))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat M) N)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (= N tptp.zero_zero_nat)))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) Xa)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zOdd)) (exists ((N_1 $$unsorted)) (and (tptp.is_int N_1) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Ya) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int N_1) Xa))))) Xa))))))) (forall ((Xa $$unsorted)) (=> (tptp.is_int Xa) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zOdd)) (not (forall ((K_1 $$unsorted)) (=> (tptp.is_int K_1) (not (= Xa (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) K_1)) tptp.one_one_int))))))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (Na $$unsorted)) (=> (not (= Na tptp.zero_zero_nat)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_1) Na)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int B_1) Na))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int A_1) B_1))))) (forall ((A_3 $$unsorted) (N $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_3) N)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int B_2) N))) (=> (not (= N tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int A_3) B_2))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (Na $$unsorted)) (=> (not (= Na tptp.zero_zero_nat)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_1) Na)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat B_1) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_1) B_1))))) (forall ((M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M)))))) (forall ((A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat tptp.zero_zero_nat) A_3)) (= A_3 tptp.zero_zero_nat))) (forall ((A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat tptp.zero_zero_nat) A_1)) (= A_1 tptp.zero_zero_nat))) (forall ((A_1 $$unsorted)) (= (not (= A_1 tptp.zero_zero_nat)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_1) tptp.zero_zero_nat)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat tptp.zero_zero_nat) A_1)))))) (forall ((A_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_3) tptp.zero_zero_nat))) (forall ((A_3 $$unsorted)) (not (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat tptp.zero_zero_nat) A_3)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_3) tptp.zero_zero_nat)))))) (forall ((A_3 $$unsorted)) (not (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_3) tptp.one_one_nat)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat tptp.one_one_nat) A_3)))))) (forall ((A_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat tptp.one_one_nat) A_3))) (forall ((A_1 $$unsorted)) (= (not (= A_1 tptp.one_one_nat)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat tptp.one_one_nat) A_1)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_1) tptp.one_one_nat)))))) (forall ((A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_1) tptp.one_one_nat)) (= A_1 tptp.one_one_nat))) (forall ((A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_3) tptp.one_one_nat)) (= A_3 tptp.one_one_nat))) (forall ((P_5 $$unsorted)) (= (tptp.hAPP_i1948725293t_bool tptp.sr P_5) (tptp.collect_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool (tptp.hAPP_f2144054103l_bool (tptp.hAPP_f1734373249l_bool tptp.cOMBB_1652995168ol_int tptp.fconj) (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f428220345t_bool tptp.cOMBC_int_int_bool tptp.ord_less_int) P_5))))) (forall ((V_1 $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int W))) (let ((_let_2 (tptp.hAPP_int_int tptp.number_number_of_int V_1))) (let ((_let_3 (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (let ((_let_4 (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit1 V_1))) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 W))))) (let ((_let_5 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) _let_1)))) (and (=> _let_5 (= _let_4 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_3 (tptp.hAPP_int_int (tptp.div_mod_int _let_2) _let_1))) tptp.one_one_int))) (=> (not _let_5) (= _let_4 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int _let_3 (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int _let_2) tptp.one_one_int)) _let_1))) tptp.one_one_int)))))))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_3) tptp.zero_zero_int)) (= (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.hAPP_int_int _let_1 B_2))) (tptp.hAPP_int_int _let_1 A_3)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int B_2) tptp.one_one_int)) A_3))) tptp.one_one_int))))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.nat_tr876908586nt_nat tptp.nat) _let_86)) (forall ((X $$unsorted) (Y $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.standardRes M))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) M)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int _let_1 X)) (tptp.hAPP_int_int _let_1 Y))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int X) Y)) M))))) (forall ((Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Y)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_int_nat tptp.nat X)) (tptp.hAPP_int_nat tptp.nat Y)) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.nat_tsub X) Y))))))) (forall ((P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit1 tptp.pls))) (let ((_let_2 (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_3))) (let ((_let_3 (tptp.hAPP_int_int tptp.bit0 _let_1))) (let ((_let_4 (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int _let_2 (tptp.hAPP_int_int tptp.number_number_of_int _let_3))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit1 _let_3))) P_3)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat _let_4) _let_4) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int _let_2 tptp.one_one_int))) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int _let_2 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit1 _let_1))))))))))))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc M)) (tptp.hAPP_nat_nat tptp.suc N))))) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) (tptp.hAPP_nat_nat tptp.suc N)))) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.hAPP_nat_nat tptp.suc N)))) (forall ((K_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) K_2))) (forall ((Xa $$unsorted) (P_5 $$unsorted)) (=> (tptp.is_int Xa) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) (tptp.hAPP_i1948725293t_bool tptp.sr P_5))) (= (tptp.hAPP_int_int (tptp.standardRes P_5) Xa) Xa)))) (forall ((M $$unsorted) (X $$unsorted)) (= (tptp.hAPP_int_int (tptp.standardRes M) X) (tptp.hAPP_int_int (tptp.div_mod_int X) M))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (= (tptp.hAPP_nat_nat tptp.suc X) (tptp.hAPP_nat_nat tptp.suc Y)) (= X Y))) (forall ((Nat_5 $$unsorted) (Nat_4 $$unsorted)) (= (= (tptp.hAPP_nat_nat tptp.suc Nat_5) (tptp.hAPP_nat_nat tptp.suc Nat_4)) (= Nat_5 Nat_4))) (forall ((N $$unsorted)) (not (= (tptp.hAPP_nat_nat tptp.suc N) N))) (forall ((N $$unsorted)) (not (= N (tptp.hAPP_nat_nat tptp.suc N)))) (forall ((A_3 $$unsorted)) (= (tptp.hAPP_int_int (tptp.div_mod_int A_3) A_3) tptp.zero_zero_int)) (forall ((B_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.div_mod_int tptp.zero_zero_int) B_2) tptp.zero_zero_int)) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (C_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3))) (= (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int _let_1 B_2)) C_1) (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.div_mod_int B_2) C_1))) C_1)))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (C_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3))) (= (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.div_mod_int B_2) C_1))) C_1) (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int _let_1 B_2)) C_1)))) (forall ((X $$unsorted) (M $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int (tptp.div_mod_int X) M)) Y)) M) (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X) Y)) M))) (forall ((X $$unsorted) (Y $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X))) (= (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.div_mod_int Y) M))) M) (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int _let_1 Y)) M)))) (forall ((M $$unsorted)) (not (= tptp.zero_zero_nat (tptp.hAPP_nat_nat tptp.suc M)))) (forall ((Nat_3 $$unsorted)) (not (= tptp.zero_zero_nat (tptp.hAPP_nat_nat tptp.suc Nat_3)))) (forall ((M $$unsorted)) (not (= (tptp.hAPP_nat_nat tptp.suc M) tptp.zero_zero_nat))) (forall ((Nat_2 $$unsorted)) (not (= (tptp.hAPP_nat_nat tptp.suc Nat_2) tptp.zero_zero_nat))) (forall ((M $$unsorted)) (not (= tptp.zero_zero_nat (tptp.hAPP_nat_nat tptp.suc M)))) (forall ((M $$unsorted)) (not (= (tptp.hAPP_nat_nat tptp.suc M) tptp.zero_zero_nat))) (forall ((X $$unsorted) (M $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int (tptp.div_mod_int X) M)) Y)) M) (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X) Y)) M))) (forall ((X $$unsorted) (M $$unsorted) (Y $$unsorted)) (=> (= (tptp.hAPP_int_int (tptp.div_mod_int X) M) (tptp.hAPP_int_int (tptp.div_mod_int Y) M)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong X) Y) M)))) (forall ((X $$unsorted) (M $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong X) (tptp.hAPP_int_int (tptp.div_mod_int X) M)) M))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_1) B_1) Ma)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.div_mod_int A_1) Ma)) (tptp.hAPP_int_int (tptp.div_mod_int B_1) Ma)) Ma)))) (forall ((K_2 $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int K_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.div_mod_int M) N))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 N)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 M)))))) (forall ((N $$unsorted) (F_3 $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int F_3))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 M)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 N)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.div_mod_int M) N))))))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc M)) (tptp.hAPP_nat_nat tptp.suc N))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc M)) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)))) (forall ((M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat tptp.suc N))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N))) (= M N))))) (forall ((K_2 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) J_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat J_2) K_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc I)) K_2))))) (forall ((M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc M))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (=> (not (= _let_1 N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat _let_1) N)))))) (forall ((M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat tptp.suc N)))))) (forall ((N $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat tptp.suc M))) (= M N))))) (forall ((Na $$unsorted) (Ma $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Ma))) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat tptp.suc Ma))) (= Na Ma))))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc Ma)) (tptp.hAPP_nat_nat tptp.suc Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) Na)))) (forall ((Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma))) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat tptp.suc Na))) (or (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Na)) (= Ma Na))))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) (tptp.hAPP_nat_nat tptp.suc Ma))))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat tptp.suc M)) N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) (tptp.hAPP_nat_nat tptp.suc N)))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat tptp.suc M)) N) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) N)))) (forall ((M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat tptp.suc N)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat _let_1 N))))) (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc N)) N)))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ma) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc Na)) Ma)))) (forall ((Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc Na))) (let ((_let_2 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ma))) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 _let_1)) (or (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 Na)) (= Ma _let_1)))))) (forall ((Na $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc Na)) (tptp.hAPP_nat_nat tptp.suc Ma))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) Ma)))) (forall ((M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat tptp.suc N)))))) (forall ((M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc N))) (let ((_let_2 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 _let_1)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 N))) (= M _let_1)))))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M)) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)))) (forall ((K $$unsorted) (Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat tptp.suc K)))) (= (= (tptp.hAPP_nat_nat _let_1 Ma) (tptp.hAPP_nat_nat _let_1 Na)) (= Ma Na)))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc M)) (tptp.hAPP_nat_nat tptp.suc N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N))) (forall ((M $$unsorted) (N $$unsorted) (K_2 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc M)) N)) (tptp.hAPP_nat_nat tptp.suc K_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N)) K_2))) (forall ((Xa $$unsorted) (Na $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc Na))) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat Xa) _let_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat Ya) _let_1)) (= Xa Ya)))) (forall ((X $$unsorted) (M $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong X) (tptp.hAPP_int_int (tptp.standardRes M) X)) M))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.div_mod_int A_3) B_2)))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.div_mod_int A_3) B_2)) B_2)))) (forall ((Ma $$unsorted) (D_1 $$unsorted)) (=> (tptp.is_int Ma) (= (= (tptp.hAPP_int_int (tptp.div_mod_int Ma) D_1) tptp.zero_zero_int) (exists ((Q_4 $$unsorted)) (and (tptp.is_int Q_4) (= Ma (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int D_1) Q_4))))))) (forall ((K_2 $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) M)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.div_mod_int M) K_2)) M)))) (forall ((Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Y)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.div_mod_int X) Y))))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int (tptp.div_mod_int A_3) B_2)) B_2) tptp.zero_zero_int)) (forall ((A_3 $$unsorted)) (=> (tptp.is_int A_3) (and (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) tptp.zero_zero_int) tptp.zero_zero_int) (= (tptp.hAPP_int_int (tptp.div_mod_int A_3) tptp.zero_zero_int) A_3)))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (C_1 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_3) B_2)) C_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) C_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int B_2) C_1))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.div_mod_int A_3) C_1)) (tptp.hAPP_int_int (tptp.div_mod_int B_2) C_1))) C_1)))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X) (tptp.hAPP_nat_nat tptp.suc _let_1))) (or (= X tptp.zero_zero_nat) (= X _let_1))))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) (tptp.hAPP_nat_nat tptp.suc Na))) (or (= Ma tptp.zero_zero_nat) (exists ((J_1 $$unsorted)) (and (= Ma (tptp.hAPP_nat_nat tptp.suc J_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat J_1) Na))))))) (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) (= Na tptp.zero_zero_nat))) (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (exists ((M_1 $$unsorted)) (= Na (tptp.hAPP_nat_nat tptp.suc M_1))))) (forall ((Ma $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Ma) _let_1)) (= Ma _let_1)))) (forall ((Xa $$unsorted) (Na $$unsorted) (Ya $$unsorted)) (= (= (tptp.hAPP_int_int (tptp.div_mod_int Xa) Na) (tptp.hAPP_int_int (tptp.div_mod_int Ya) Na)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int Na) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Xa) Ya))))) (forall ((Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) (= (= _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ma) Na)) (or (and (= Ma _let_1) (= Na tptp.zero_zero_nat)) (and (= Ma tptp.zero_zero_nat) (= Na _let_1)))))) (forall ((Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ma) Na) _let_1) (or (and (= Ma _let_1) (= Na tptp.zero_zero_nat)) (and (= Ma tptp.zero_zero_nat) (= Na _let_1)))))) (forall ((Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Ma) Na) _let_1) (and (= Ma _let_1) (= Na _let_1))))) (= tptp.one_one_nat _let_55) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) Na)) (exists ((K_1 $$unsorted)) (= Na (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ma) K_1)))))) (forall ((I $$unsorted) (M $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) I))))) (forall ((I $$unsorted) (M $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I) M))))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M)) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)))) (forall ((Ma $$unsorted) (Na $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ma) Na)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) (tptp.hAPP_nat_nat tptp.suc Ma))) (= Na Ma)))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc M)) N)))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) (tptp.hAPP_nat_nat tptp.suc N))))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc Ma)) Na)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) Na)))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) (tptp.hAPP_nat_nat tptp.suc Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ma) Na)))) (forall ((Na $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) Ma)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc Na)) Ma)))) (forall ((K $$unsorted) (Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat tptp.suc K)))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat _let_1 Ma)) (tptp.hAPP_nat_nat _let_1 Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) Na))))) (forall ((M $$unsorted) (N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N)) (tptp.hAPP_nat_nat tptp.suc M)))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat tptp.suc M)) N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) N)))) (forall ((M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat tptp.suc N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) (tptp.hAPP_nat_nat _let_1 N))))) (forall ((K $$unsorted) (Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat tptp.suc K)))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 Ma)) (tptp.hAPP_nat_nat _let_1 Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ma) Na))))) (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat tptp.suc N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))) (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat tptp.suc N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) N))) (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc M)) N) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N))))) (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc N)) tptp.one_one_nat) N)) (forall ((M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat tptp.suc N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat _let_1 tptp.one_one_nat)) N)))) (forall ((M $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat M) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) M)) (forall ((N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat _let_1) N) _let_1))) (forall ((Xa $$unsorted) (Ma $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat Xa) Ma) _let_1) (or (= Ma tptp.zero_zero_nat) (= Xa _let_1))))) (forall ((Xa $$unsorted) (Na $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc Na))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat Xa) _let_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat Ya) _let_1))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Xa) Ya))))) (forall ((N $$unsorted) (X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat Y) (tptp.hAPP_nat_nat tptp.suc N))))))) (forall ((Xa $$unsorted) (Na $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc Na))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat Xa) _let_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat Ya) _let_1))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Xa) Ya))))) (forall ((X $$unsorted) (P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) P_3)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.standardRes P_3) X)) P_3)))) (forall ((Xa $$unsorted) (P_5 $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong Xa) tptp.zero_zero_int) P_5))) (not (= (tptp.hAPP_int_int (tptp.standardRes P_5) Xa) tptp.zero_zero_int)))) (forall ((Ma $$unsorted) (Xa $$unsorted)) (= (= (tptp.hAPP_int_int (tptp.standardRes Ma) Xa) tptp.zero_zero_int) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong Xa) tptp.zero_zero_int) Ma)))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_int_int (tptp.div_mod_int A_3) B_2))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.div_mod_int A_3) B_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_2)) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) _let_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int _let_1) B_2)))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.is_int A_3) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_3) B_2)) (= (tptp.hAPP_int_int (tptp.div_mod_int A_3) B_2) A_3))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_2) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.div_mod_int A_3) B_2)) tptp.zero_zero_int)))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.div_mod_int A_3) B_2))) (let ((_let_2 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_2 tptp.zero_zero_int)) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int _let_1) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool _let_2 _let_1))))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.is_int A_3) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_3) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_2) A_3)) (= (tptp.hAPP_int_int (tptp.div_mod_int A_3) B_2) A_3))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) Ma)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_1) B_1) Ma)) (= (tptp.hAPP_int_int (tptp.div_mod_int A_1) Ma) (tptp.hAPP_int_int (tptp.div_mod_int B_1) Ma))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.div_mod_int A_3))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) M)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int M) B_2)) (= (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int _let_1 B_2)) M) (tptp.hAPP_int_int _let_1 M)))))) (forall ((A_3 $$unsorted)) (= (tptp.hAPP_int_int (tptp.div_mod_int A_3) (tptp.hAPP_int_int tptp.number_number_of_int tptp.min)) tptp.zero_zero_int)) (forall ((Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int Xa))) (let ((_let_2 (tptp.hAPP_int_int tptp.number_number_of_int Ya))) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int _let_1) _let_2)) (= (tptp.hAPP_int_int (tptp.div_mod_int _let_2) _let_1) tptp.zero_zero_int))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.is_int A_3) (= A_3 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) B_2))) (tptp.hAPP_int_int (tptp.div_mod_int A_3) B_2))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (C_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int _let_1 B_2)) C_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int B_2) C_1))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.div_mod_int B_2) C_1))) C_1))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted) (K_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) B_2))) (tptp.hAPP_int_int (tptp.div_mod_int A_3) B_2))) K_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_3) K_2))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (K_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) B_2)) B_2)) (tptp.hAPP_int_int (tptp.div_mod_int A_3) B_2))) K_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_3) K_2))) (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int N) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int M) N)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int M) (tptp.hAPP_int_int (tptp.div_mod_int M) N)))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_int_int (tptp.div_mod_int M) N) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int M) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int M) N)) N)))) (forall ((M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) N))))))) (forall ((M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat N) M))))))) (forall ((M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) N))))))) (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) N) M) (= N (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))))) (forall ((M $$unsorted) (K_2 $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 K_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) M)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) N) K_2) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) K_2)))))))) (forall ((M $$unsorted) (K_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (let ((_let_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) K_2))) (=> (not (= M _let_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 _let_2)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 K_2))))))) (forall ((M $$unsorted) (K_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) (=> (not (= M (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) K_2))) (=> (not (= M _let_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat _let_1) M)))))) (forall ((I $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.hAPP_nat_nat tptp.suc I))) N)))) (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) N))) (forall ((Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Ma) Na))) (and (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Ma)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Na)))))) (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int _let_55) tptp.one_one_int) (= _let_85 _let_55) (forall ((M $$unsorted)) (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat tptp.suc M)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.hAPP_nat_int tptp.semiri1621563631at_int M)))) (forall ((Wa $$unsorted) (Z_2 $$unsorted)) (=> (tptp.is_int Z_2) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Wa) Z_2)) (exists ((N_1 $$unsorted)) (= Z_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Wa) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat tptp.suc N_1)))))))) (forall ((M $$unsorted) (K_2 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) J_2)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J_2) K_2))) M) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc J_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K_2) M))))) (forall ((M $$unsorted) (K_2 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) J_2)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat J_2) K_2))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) K_2)) (tptp.hAPP_nat_nat tptp.suc J_2))))) (forall ((N $$unsorted) (I $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 I)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat I) N)))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_3) B_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int _let_1) tptp.zero_zero_int)) (= (tptp.hAPP_int_int (tptp.div_mod_int A_3) B_2) _let_1))))) (forall ((R_2 $$unsorted) (S_1 $$unsorted) (T_1 $$unsorted) (R_4 $$unsorted) (S_3 $$unsorted) (M $$unsorted) (T_2 $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int R_4) R_2)))) (=> (= R_4 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int S_3) M)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int T_2) N))) (=> (= R_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int S_1) M)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int T_1) N))) (= (tptp.hAPP_int_int (tptp.div_mod_int R_4) R_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int S_3) (tptp.hAPP_int_int _let_1 S_1))) M)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int T_2) (tptp.hAPP_int_int _let_1 T_1))) N))))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (M $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int A_3) B_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int M) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) M)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int B_2) M)))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int (tptp.div_mod_int A_3) M)) (tptp.hAPP_int_int (tptp.div_mod_int B_2) M))))) (= _let_84 (tptp.hAPP_nat_nat tptp.suc _let_81)) (= _let_83 _let_55) (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc N))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) N))) (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) N))) (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= N (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))))) (forall ((N $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) N))) (let ((_let_2 (= M tptp.zero_zero_nat))) (and (=> _let_2 (= _let_1 N)) (=> (not _let_2) (= _let_1 (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat)) N)))))))) (forall ((X $$unsorted) (P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) P_3)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_int_int (tptp.standardRes P_3) X))))) (forall ((M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat M) N))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (and (=> _let_2 (= _let_1 tptp.zero_zero_nat)) (=> (not _let_2) (= _let_1 (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N)) N))))))))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat M) N) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N)) N)))))) (forall ((X1_2 $$unsorted) (X2 $$unsorted) (Ma $$unsorted)) (let ((_let_1 (tptp.standardRes Ma))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) Ma)) (= (= (tptp.hAPP_int_int _let_1 X1_2) (tptp.hAPP_int_int _let_1 X2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong X1_2) X2) Ma)))))) (forall ((V_1 $$unsorted) (W $$unsorted)) (= (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 V_1))) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 W))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int tptp.number_number_of_int V_1)) (tptp.hAPP_int_int tptp.number_number_of_int W))))) (forall ((Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Y)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.nat_tsub X) Y))))))) (forall ((P_1 $$unsorted) (Na $$unsorted) (K $$unsorted)) (=> (and (tptp.is_int Na) (tptp.is_int K)) (= (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int (tptp.div_mod_int Na) K))) (and (=> (= K tptp.zero_zero_int) (tptp.hBOOL (tptp.hAPP_int_bool P_1 Na))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) K)) (forall ((I_2 $$unsorted) (J_1 $$unsorted)) (=> (and (tptp.is_int I_2) (tptp.is_int J_1)) (=> (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) J_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int J_1) K)) (= Na (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K) I_2)) J_1))) (tptp.hBOOL (tptp.hAPP_int_bool P_1 J_1)))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) tptp.zero_zero_int)) (forall ((I_2 $$unsorted) (J_1 $$unsorted)) (=> (and (tptp.is_int I_2) (tptp.is_int J_1)) (=> (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) J_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int J_1) tptp.zero_zero_int)) (= Na (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K) I_2)) J_1))) (tptp.hBOOL (tptp.hAPP_int_bool P_1 J_1)))))))))) (forall ((Q_1 $$unsorted) (B_2 $$unsorted) (R_2 $$unsorted) (C_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) C_1)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 R_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int R_2) B_2)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2) (tptp.hAPP_int_int (tptp.div_mod_int Q_1) C_1))) R_2)))))))) (forall ((Q_1 $$unsorted) (B_2 $$unsorted) (R_2 $$unsorted) (C_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) C_1)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) R_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int R_2) B_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.div_mod_int Q_1) C_1))) R_2)) (tptp.hAPP_int_int _let_1 C_1)))))))) (forall ((Q_1 $$unsorted) (B_2 $$unsorted) (R_2 $$unsorted) (C_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) C_1)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_2) R_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int R_2) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int _let_1 C_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.div_mod_int Q_1) C_1))) R_2)))))))) (forall ((Q_1 $$unsorted) (B_2 $$unsorted) (R_2 $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) C_1)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_2) R_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int R_2) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2) (tptp.hAPP_int_int (tptp.div_mod_int Q_1) C_1))) R_2)) tptp.zero_zero_int)))))) (forall ((A_6 $$unsorted) (B_7 $$unsorted) (Q_6 $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_7)))) (=> (and (tptp.is_int B_7) (tptp.is_int Y)) (=> (= A_6 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_7) Q_6)) Y)) (=> (and (=> _let_1 (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Y) B_7)))) (=> (not _let_1) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_7) Y)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y) tptp.zero_zero_int))))) (=> (not (= B_7 tptp.zero_zero_int)) (= (tptp.hAPP_int_int (tptp.div_mod_int A_6) B_7) Y))))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (C_1 $$unsorted)) (let ((_let_1 (tptp.div_mod_int A_3))) (let ((_let_2 (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) C_1)) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int _let_2 C_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_2 (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) B_2)) C_1))) (tptp.hAPP_int_int _let_1 B_2))))))) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y) X)) (= (tptp.hAPP_int_int (tptp.nat_tsub X) Y) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X) Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_int_int (tptp.nat_tsub (tptp.hAPP_nat_int tptp.semiri1621563631at_int X)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Y)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat X) Y)))) (= _let_3 _let_81) (= _let_81 _let_3) (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) N) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc N)))) (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc N)))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_int_nat tptp.number_number_of_nat tptp.pls)) N)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc M)) N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit1 tptp.pls))))))) (forall ((Z_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.hAPP_int_nat tptp.nat Z_2))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) Z_2)))) (forall ((M $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc M))) _let_1) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat M) _let_1))))) (forall ((V_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat V_1))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) _let_1)) (= _let_1 (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat _let_1) tptp.one_one_nat)))))) (forall ((Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z_1)) (= (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_int_nat tptp.nat Z_1)) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) Z_1))))) (forall ((M $$unsorted) (V_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat V_1))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc M)))) _let_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) M)) _let_1)))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc M)))) N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) M)) N))) (forall ((M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat M))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc N)))) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) N))))) (forall ((Q_2 $$unsorted) (Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Na))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (= (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 Q_2)) Ma)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat tptp.suc Q_2))))) (= Q_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat Ma) Na)))))) (forall ((P_1 $$unsorted) (Ma $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool P_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat Ma) Na))) (or (and (= Na tptp.zero_zero_nat) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 tptp.zero_zero_nat))) (exists ((Q_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Na))) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat _let_1 Q_4)) Ma)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat tptp.suc Q_4)))) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 Q_4)))))))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat M) N) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N)) N)))))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.div_mod_int Xa) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (= (not (= _let_1 tptp.zero_zero_int)) (= _let_1 tptp.one_one_int)))) (forall ((P_1 $$unsorted) (Na $$unsorted) (K $$unsorted)) (=> (tptp.is_int Na) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) K)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool P_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int Na) K)) (tptp.hAPP_int_int (tptp.div_mod_int Na) K))) (forall ((I_2 $$unsorted) (J_1 $$unsorted)) (=> (and (tptp.is_int I_2) (tptp.is_int J_1)) (=> (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) J_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int J_1) K)) (= Na (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K) I_2)) J_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool P_1 I_2) J_1))))))))) (forall ((P_1 $$unsorted) (Na $$unsorted) (K $$unsorted)) (=> (tptp.is_int Na) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) tptp.zero_zero_int)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool P_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int Na) K)) (tptp.hAPP_int_int (tptp.div_mod_int Na) K))) (forall ((I_2 $$unsorted) (J_1 $$unsorted)) (=> (and (tptp.is_int I_2) (tptp.is_int J_1)) (=> (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) J_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int J_1) tptp.zero_zero_int)) (= Na (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K) I_2)) J_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool P_1 I_2) J_1))))))))) (forall ((B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_2)) (= (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int tptp.number_number_of_int tptp.min)) B_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int B_2) tptp.one_one_int)))) (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (or (= N tptp.zero_zero_nat) (= N (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))))) (= _let_82 _let_81) (forall ((Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.nat_tsub X) Y))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Y) X)))) (and (=> _let_2 (= _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X) Y))) (=> (not _let_2) (= _let_1 tptp.zero_zero_int)))))) (forall ((N $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 _let_1))) N))) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat _let_2) (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1)))) _let_2))))) (forall ((N $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (let ((_let_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat _let_1) N))) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat _let_2) _let_1))) _let_2))))) (forall ((K_2 $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_nat_int tptp.power_power_int K_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) K_2)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_nat_int _let_1 M)) K_2) (tptp.hAPP_nat_int _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))))))) (forall ((V_2 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.hAPP_int_nat tptp.number_number_of_nat V_2)) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int tptp.one_one_int) (tptp.hAPP_int_int tptp.number_number_of_int V_2))))) (forall ((N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) N))) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat _let_1) tptp.one_one_nat)) _let_1)))) (forall ((P_3 $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP_int_int (tptp.inv P_3) A_3) (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_3) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_3) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))))) P_3))) (forall ((M $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.minus_minus_int M))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) M)) (= (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int _let_1 tptp.one_one_int)))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (let ((_let_2 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) A_3)) (= (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int _let_2 (tptp.hAPP_int_int _let_1 B_2))) (tptp.hAPP_int_int _let_1 A_3)) (tptp.hAPP_int_int _let_2 (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.div_mod_int B_2) A_3)))))))) (forall ((Xa $$unsorted) (A_1 $$unsorted) (P_5 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.sRStar P_5))) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_5)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_1) tptp.zero_zero_int) P_5))) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) _let_1)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.standardRes P_5) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_1) (tptp.hAPP_int_int (tptp.multInv P_5) Xa)))) _let_1)))))))) (forall ((N $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) A_3)) (exists ((R_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) R_1)) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real R_1) (tptp.hAPP_nat_nat tptp.suc N)) A_3))))) (forall ((M_5 $$unsorted) (D_4 $$unsorted)) (=> (tptp.is_int M_5) (=> (= (tptp.hAPP_int_int (tptp.div_mod_int M_5) D_4) tptp.zero_zero_int) (exists ((Q_4 $$unsorted)) (and (tptp.is_int Q_4) (= M_5 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int D_4) Q_4))))))) (forall ((Na $$unsorted) (N_6 $$unsorted) (F $$unsorted)) (=> (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat F N_1)) (tptp.hAPP_nat_nat F (tptp.hAPP_nat_nat tptp.suc N_1))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) N_6)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat F Na)) (tptp.hAPP_nat_nat F N_6)))))) (forall ((P_1 $$unsorted) (I_1 $$unsorted) (J $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) J)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool P_1 J)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) J)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool P_1 (tptp.hAPP_nat_nat tptp.suc I_2))) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 I_2))))) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 I_1)))))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (exists ((K_1 $$unsorted)) (= N (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) K_1)))))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.div_mod_nat (tptp.hAPP_nat_nat tptp.suc M)) N) (tptp.hAPP_nat_nat (tptp.div_mod_nat (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.div_mod_nat M) N))) N))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (= (tptp.hAPP_nat_nat (tptp.div_mod_nat M) N) M))) (forall ((M $$unsorted) (N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.div_mod_nat M) N)) M))) (forall ((K_2 $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K_2))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.div_mod_nat M) N)) (tptp.hAPP_nat_nat (tptp.div_mod_nat (tptp.hAPP_nat_nat _let_1 M)) (tptp.hAPP_nat_nat _let_1 N))))) (forall ((M $$unsorted) (N $$unsorted) (K_2 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.div_mod_nat M) N)) K_2) (tptp.hAPP_nat_nat (tptp.div_mod_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) K_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat N) K_2)))) (forall ((Xa $$unsorted) (P_5 $$unsorted)) (=> (tptp.is_int Xa) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) (tptp.hAPP_i1948725293t_bool tptp.sRStar P_5))) (= (tptp.hAPP_int_int (tptp.standardRes P_5) Xa) Xa)))) (forall ((M $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.div_mod_nat M) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.zero_zero_nat)) (forall ((M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.div_mod_nat M) N)))) (let ((_let_2 (tptp.hAPP_nat_nat (tptp.div_mod_nat (tptp.hAPP_nat_nat tptp.suc M)) N))) (let ((_let_3 (= _let_1 N))) (and (=> _let_3 (= _let_2 tptp.zero_zero_nat)) (=> (not _let_3) (= _let_2 _let_1))))))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.div_mod_nat M) N)) N)))) (forall ((Ma $$unsorted) (D_1 $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.div_mod_nat Ma) D_1) tptp.zero_zero_nat) (exists ((Q_4 $$unsorted)) (= Ma (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat D_1) Q_4))))) (forall ((M $$unsorted) (N $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N))) (= (tptp.hAPP_nat_nat (tptp.div_mod_nat M) N) (tptp.hAPP_nat_nat (tptp.div_mod_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N)) N)))) (forall ((M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.div_mod_nat M) N))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)))) (and (=> _let_2 (= _let_1 M)) (=> (not _let_2) (= _let_1 (tptp.hAPP_nat_nat (tptp.div_mod_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N)) N))))))) (forall ((K_2 $$unsorted) (N $$unsorted) (M $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.div_mod_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K_2) N)) M)) N) (tptp.hAPP_nat_nat (tptp.div_mod_nat M) N))) (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M)) (= (tptp.hAPP_nat_nat (tptp.div_mod_nat M) N) (tptp.hAPP_nat_nat (tptp.div_mod_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N)) N)))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (C_1 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_3) B_2)) C_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat A_3) C_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat B_2) C_1))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.div_mod_nat A_3) C_1)) (tptp.hAPP_nat_nat (tptp.div_mod_nat B_2) C_1))) C_1)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int X)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Y)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.div_mod_nat X) Y)))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.div_mod_nat A_3) B_2)) (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int A_3)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int B_2)))) (forall ((Xa $$unsorted) (P_5 $$unsorted)) (let ((_let_1 (tptp.hAPP_i2112223885l_bool tptp.member_int Xa))) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 (tptp.hAPP_i1948725293t_bool tptp.sRStar P_5))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 (tptp.hAPP_i1948725293t_bool tptp.sr P_5)))))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.div_mod_nat M) N)) N)))) (forall ((K_2 $$unsorted) (N $$unsorted) (M $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.div_mod_nat (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K_2) N)) M))) N) (tptp.hAPP_nat_nat (tptp.div_mod_nat (tptp.hAPP_nat_nat tptp.suc M)) N))) (forall ((P_5 $$unsorted)) (= (tptp.hAPP_i1948725293t_bool tptp.sRStar P_5) (tptp.collect_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool (tptp.hAPP_f2144054103l_bool (tptp.hAPP_f1734373249l_bool tptp.cOMBB_1652995168ol_int tptp.fconj) (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int))) (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f428220345t_bool tptp.cOMBC_int_int_bool tptp.ord_less_int) P_5))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (C_1 $$unsorted)) (let ((_let_1 (tptp.div_mod_nat A_3))) (let ((_let_2 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_2))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat _let_2 C_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat _let_2 (tptp.hAPP_nat_nat (tptp.div_mod_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat A_3) B_2)) C_1))) (tptp.hAPP_nat_nat _let_1 B_2)))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (C_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_3))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat _let_1 B_2)) C_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat B_2) C_1))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.div_mod_nat B_2) C_1))) C_1))))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat M) N)) N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) (tptp.hAPP_nat_nat (tptp.div_mod_nat M) N)))) (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat M) N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) (tptp.hAPP_nat_nat (tptp.div_mod_nat M) N)))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.div_mod_nat M) N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat M) N)) N)))) (forall ((Xa $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) (tptp.hAPP_i1948725293t_bool tptp.sRStar P_5))) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong Xa) tptp.zero_zero_int) P_5))))) (forall ((P_1 $$unsorted) (Na $$unsorted) (K $$unsorted)) (let ((_let_1 (= K tptp.zero_zero_nat))) (= (tptp.hBOOL (tptp.hAPP_nat_bool P_1 (tptp.hAPP_nat_nat (tptp.div_mod_nat Na) K))) (and (=> _let_1 (tptp.hBOOL (tptp.hAPP_nat_bool P_1 Na))) (=> (not _let_1) (forall ((I_2 $$unsorted) (J_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat J_1) K)) (=> (= Na (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K) I_2)) J_1)) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 J_1)))))))))) (forall ((Q_1 $$unsorted) (R_2 $$unsorted) (B_2 $$unsorted) (C_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) C_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat R_2) B_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.div_mod_nat Q_1) C_1))) R_2)) (tptp.hAPP_nat_nat _let_1 C_1))))))) (forall ((M $$unsorted) (K_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.one_one_nat) K_2)) (= (tptp.hAPP_nat_nat (tptp.div_mod_nat (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K_2) M))) K_2) tptp.one_one_nat))) (forall ((A_3 $$unsorted) (C_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat tptp.suc A_3)) C_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat A_3) C_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat _let_1) C_1))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.div_mod_nat A_3) C_1)) (tptp.hAPP_nat_nat (tptp.div_mod_nat _let_1) C_1))) C_1))))) (forall ((Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Y)) (= (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.div_mod_int X) Y)) (tptp.hAPP_nat_nat (tptp.div_mod_nat (tptp.hAPP_int_nat tptp.nat X)) (tptp.hAPP_int_nat tptp.nat Y))))))) (forall ((Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Y)) (= (tptp.hAPP_nat_nat (tptp.div_mod_nat (tptp.hAPP_int_nat tptp.nat X)) (tptp.hAPP_int_nat tptp.nat Y)) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.div_mod_int X) Y))))))) (forall ((M $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (tptp.hAPP_nat_nat (tptp.div_mod_nat (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc M))) _let_1) (tptp.hAPP_nat_nat (tptp.div_mod_nat M) _let_1)))) (forall ((M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.div_mod_nat M))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc N)))) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) N))))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.div_mod_nat (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc M)))) N) (tptp.hAPP_nat_nat (tptp.div_mod_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) M)) N))) (forall ((M $$unsorted) (V_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat V_1))) (= (tptp.hAPP_nat_nat (tptp.div_mod_nat (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc M)))) _let_1) (tptp.hAPP_nat_nat (tptp.div_mod_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) M)) _let_1)))) (forall ((M $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit1 tptp.pls))) (let ((_let_2 (tptp.hAPP_int_int tptp.bit0 _let_1))) (let ((_let_3 (tptp.hAPP_nat_nat (tptp.div_mod_nat M) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 _let_2))))) (or (= _let_3 tptp.zero_zero_nat) (= _let_3 tptp.one_one_nat) (= _let_3 (tptp.hAPP_int_nat tptp.number_number_of_nat _let_2)) (= _let_3 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit1 _let_1)))))))) (forall ((Ma $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.div_mod_nat Ma) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) _let_1)) (= _let_1 tptp.one_one_nat)))) (forall ((Xa $$unsorted) (P_5 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.sRStar P_5))) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_5)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) _let_1)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.standardRes P_5) Xa)) _let_1))))))) (forall ((Xa $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_5)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.standardRes P_5) Xa)) (tptp.hAPP_i1948725293t_bool tptp.sRStar P_5))) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong Xa) tptp.zero_zero_int) P_5)))))) (forall ((Ya $$unsorted) (Xa $$unsorted) (P_5 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.sRStar P_5))) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_5)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Ya) _let_1)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.standardRes P_5) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Xa) Ya))) _let_1)))))))) (forall ((Xa $$unsorted) (P_5 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.sRStar P_5))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) _let_1)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.standardRes P_5) (tptp.hAPP_int_int (tptp.multInv P_5) Xa))) _let_1))))))) (forall ((X $$unsorted) (N $$unsorted) (Y $$unsorted)) (=> (= (tptp.hAPP_nat_nat (tptp.div_mod_nat X) N) (tptp.hAPP_nat_nat (tptp.div_mod_nat Y) N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Y) X)) (exists ((Q_4 $$unsorted)) (= X (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Y) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat N) Q_4))))))) (forall ((Na $$unsorted) (Ma $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat F Na))) (let ((_let_2 (tptp.hAPP_nat_nat F Ma))) (=> (forall ((N_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat F N_1))) (let ((_let_2 (tptp.hAPP_nat_nat F (tptp.hAPP_nat_nat tptp.suc N_1)))) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat _let_1) _let_2)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat _let_2) _let_1))))))) (= (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat _let_1) _let_2)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat _let_2) _let_1)))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) Ma))))))) (forall ((Na $$unsorted) (N_6 $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat F Na))) (let ((_let_2 (tptp.hAPP_nat_nat F N_6))) (=> (forall ((N_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat F N_1))) (let ((_let_2 (tptp.hAPP_nat_nat F (tptp.hAPP_nat_nat tptp.suc N_1)))) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat _let_1) _let_2)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat _let_2) _let_1))))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) N_6)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat _let_1) _let_2)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat _let_2) _let_1))))))))) (forall ((I_1 $$unsorted) (P_1 $$unsorted) (P_5 $$unsorted)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) P_5)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool P_1 I_2)) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 (tptp.hAPP_nat_nat (tptp.div_mod_nat (tptp.hAPP_nat_nat tptp.suc I_2)) P_5)))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool P_1 I_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_1) P_5)) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 tptp.zero_zero_nat)))))) (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (exists ((M_1 $$unsorted)) (= N (tptp.hAPP_nat_nat tptp.suc M_1))))) (forall ((M $$unsorted) (D_3 $$unsorted) (R_2 $$unsorted)) (=> (= (tptp.hAPP_nat_nat (tptp.div_mod_nat M) D_3) R_2) (exists ((Q_4 $$unsorted)) (= M (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat R_2) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Q_4) D_3)))))) (forall ((Xa $$unsorted) (Na $$unsorted) (Ya $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.div_mod_nat Xa) Na) (tptp.hAPP_nat_nat (tptp.div_mod_nat Ya) Na)) (exists ((Q1 $$unsorted) (Q2 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Na))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Xa) (tptp.hAPP_nat_nat _let_1 Q1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ya) (tptp.hAPP_nat_nat _let_1 Q2))))))) (forall ((M_5 $$unsorted) (D_4 $$unsorted)) (=> (= (tptp.hAPP_nat_nat (tptp.div_mod_nat M_5) D_4) tptp.zero_zero_nat) (exists ((Q_4 $$unsorted)) (= M_5 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat D_4) Q_4))))) (forall ((J $$unsorted) (I_1 $$unsorted) (P_1 $$unsorted) (P_5 $$unsorted)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) P_5)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool P_1 I_2)) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 (tptp.hAPP_nat_nat (tptp.div_mod_nat (tptp.hAPP_nat_nat tptp.suc I_2)) P_5)))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool P_1 I_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_1) P_5)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat J) P_5)) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 J))))))) (forall ((K_2 $$unsorted) (L_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.abs_abs_int L_2))) (let ((_let_2 (tptp.hAPP_int_int tptp.abs_abs_int K_2))) (= (tptp.pdivmod K_2 L_2) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int _let_2) _let_1)) (tptp.hAPP_int_int (tptp.div_mod_int _let_2) _let_1)))))) (forall ((C_1 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted) (Q_1 $$unsorted) (R_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2))) (=> (tptp.is_int B_2) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.divmod_int_rel A_3 B_2) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int Q_1) R_2))) (=> (not (= B_2 tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) C_1)) (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.divmod_int_rel A_3 (tptp.hAPP_int_int _let_1 C_1)) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int Q_1) C_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.div_mod_int Q_1) C_1))) R_2)))))))))) (forall ((V_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int V_2))) (let ((_let_2 (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) (let ((_let_3 (tptp.hAPP_nat_nat (tptp.div_mod_nat _let_2) (tptp.hAPP_int_nat tptp.number_number_of_nat V_2)))) (let ((_let_4 (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg _let_1)))) (and (=> _let_4 (= _let_3 _let_2)) (=> (not _let_4) (= _let_3 (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.div_mod_int tptp.one_one_int) _let_1)))))))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.is_int X) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int X))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int _let_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int X) _let_1))) tptp.one_one_int) X))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_3) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) B_2)) (exists ((D_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) D_2)) (forall ((Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real X) Y_1))) D_2)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_3) Y_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y_1) B_2)))))))))) (forall ((W $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int W))) (let ((_let_2 (tptp.negDivAlg tptp.one_one_int _let_1))) (let ((_let_3 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) _let_1))) (let ((_let_4 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) _let_3)))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) _let_1)) (and (=> _let_4 (= _let_2 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int (tptp.hAPP_int_int tptp.number_number_of_int tptp.min)) _let_3))) (=> (not _let_4) (= _let_2 (tptp.hAPP_P1975530577nt_int (tptp.adjust _let_1) (tptp.negDivAlg tptp.one_one_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) _let_1)))))))))))) (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg tptp.zero_zero_int))) (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int tptp.zero_zero_int)) (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg tptp.one_one_int))) (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int tptp.one_one_int))) (forall ((Y $$unsorted) (X $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int X))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int Y))) (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int X) Y))))))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int Y)) (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int X) Y))))) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int X)) (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int X) Y))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Xa) Ya))) (or (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int Xa)) (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int Ya))))) (forall ((Y $$unsorted) (X $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int X))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int Y))) (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X) Y)))))) (forall ((Y $$unsorted) (X $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int X))) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int Y)) (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X) Y))))))) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int X)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int Y))) (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X) Y))))))) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int Y)) (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X) Y)))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int Ya)))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int Xa)))) (= (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Xa) Ya))) (or (and _let_2 _let_1) (and (not _let_2) (not _let_1))))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_3) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_2)) (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.divmod_int_rel A_3 B_2) (tptp.negDivAlg A_3 B_2)))))) (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.hAPP_nat_int tptp.semiri1621563631at_int N))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int Ya)))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int Xa)))) (= (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Xa) Ya))) (or (and _let_2 _let_1) (and (not _let_2) (not _let_1))))))) (forall ((N $$unsorted) (X $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int X))) (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X) N)))))) (forall ((Z_5 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg Z_5)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Z_5) tptp.zero_zero_int)))) (forall ((Wa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit1 Wa)))) (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.hAPP_int_int tptp.number_number_of_int Wa))))) (forall ((Xa $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg Xa))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Xa)))) (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg _let_80))) (forall ((Wa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 Wa)))) (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.hAPP_int_int tptp.number_number_of_int Wa))))) (forall ((Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg Z_1)) (= (tptp.hAPP_int_nat tptp.nat Z_1) tptp.zero_zero_nat))) (forall ((Xa $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Xa) Na))) (and (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int Xa)) (not (= Na tptp.zero_zero_nat))))) (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg _let_79)) (forall ((Z_1 $$unsorted)) (=> (tptp.is_int Z_1) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg Z_1))) (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_int_nat tptp.nat Z_1)) Z_1)))) (forall ((Q_5 $$unsorted) (R_4 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted) (Q_1 $$unsorted) (R_2 $$unsorted)) (let ((_let_1 (tptp.divmod_int_rel A_3 B_2))) (=> (and (tptp.is_int R_4) (tptp.is_int B_2) (tptp.is_int R_2)) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool _let_1 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int Q_1) R_2))) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool _let_1 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int Q_5) R_4))) (=> (not (= B_2 tptp.zero_zero_int)) (= R_2 R_4))))))) (forall ((Q_5 $$unsorted) (R_4 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted) (Q_1 $$unsorted) (R_2 $$unsorted)) (let ((_let_1 (tptp.divmod_int_rel A_3 B_2))) (=> (and (tptp.is_int Q_5) (tptp.is_int B_2) (tptp.is_int Q_1)) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool _let_1 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int Q_1) R_2))) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool _let_1 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int Q_5) R_4))) (=> (not (= B_2 tptp.zero_zero_int)) (= Q_1 Q_5))))))) (forall ((A_3 $$unsorted) (Q_1 $$unsorted) (R_2 $$unsorted)) (=> (and (tptp.is_int A_3) (tptp.is_int R_2)) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.divmod_int_rel A_3 A_3) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int Q_1) R_2))) (=> (not (= A_3 tptp.zero_zero_int)) (= R_2 tptp.zero_zero_int))))) (forall ((B_2 $$unsorted)) (=> (tptp.is_int B_2) (=> (not (= B_2 tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.divmod_int_rel tptp.zero_zero_int B_2) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int tptp.zero_zero_int) tptp.zero_zero_int)))))) (forall ((V_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.hAPP_int_int tptp.number_number_of_int V_1))) (= (tptp.hAPP_int_nat tptp.number_number_of_nat V_1) tptp.zero_zero_nat))) (forall ((A_3 $$unsorted) (Q_1 $$unsorted) (R_2 $$unsorted)) (=> (and (tptp.is_int A_3) (tptp.is_int Q_1)) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.divmod_int_rel A_3 A_3) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int Q_1) R_2))) (=> (not (= A_3 tptp.zero_zero_int)) (= Q_1 tptp.one_one_int))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (Q_1 $$unsorted) (R_2 $$unsorted)) (=> (and (tptp.is_int B_2) (tptp.is_int Q_1)) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.divmod_int_rel A_3 B_2) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int Q_1) R_2))) (=> (not (= B_2 tptp.zero_zero_int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) B_2) Q_1))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (Q_1 $$unsorted) (R_2 $$unsorted)) (=> (and (tptp.is_int B_2) (tptp.is_int R_2)) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.divmod_int_rel A_3 B_2) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int Q_1) R_2))) (=> (not (= B_2 tptp.zero_zero_int)) (= (tptp.hAPP_int_int (tptp.div_mod_int A_3) B_2) R_2))))) (forall ((Va $$unsorted) (V $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int V))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg _let_1)))) (let ((_let_3 (tptp.hAPP_int_int tptp.number_number_of_int Va))) (let ((_let_4 (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg _let_3)))) (=> (and (tptp.is_int Va) (tptp.is_int V)) (= (= (tptp.hAPP_int_nat tptp.number_number_of_nat Va) (tptp.hAPP_int_nat tptp.number_number_of_nat V)) (and (=> _let_4 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int _let_1) tptp.zero_zero_int))) (=> (not _let_4) (and (=> _let_2 (= _let_3 tptp.zero_zero_int)) (=> (not _let_2) (= Va V)))))))))))) (forall ((V_2 $$unsorted) (K_2 $$unsorted) (V_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_int_nat tptp.number_number_of_nat V_2)) K_2))) (let ((_let_2 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_int_nat tptp.number_number_of_nat V_1)))) (let ((_let_3 (tptp.hAPP_nat_nat _let_2 _let_1))) (let ((_let_4 (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.hAPP_int_int tptp.number_number_of_int V_2))))) (let ((_let_5 (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.hAPP_int_int tptp.number_number_of_int V_1))))) (and (=> _let_5 (= _let_3 _let_1)) (=> (not _let_5) (and (=> _let_4 (= _let_3 (tptp.hAPP_nat_nat _let_2 K_2))) (=> (not _let_4) (= _let_3 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_1) V_2))) K_2)))))))))))) (forall ((V_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int V_1))) (let ((_let_2 (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_int_nat tptp.number_number_of_nat V_1)))) (let ((_let_3 (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg _let_1)))) (and (=> _let_3 (= _let_2 tptp.zero_zero_int)) (=> (not _let_3) (= _let_2 _let_1))))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.is_int B_2) (=> (not (= B_2 tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.divmod_int_rel A_3 B_2) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) B_2)) (tptp.hAPP_int_int (tptp.div_mod_int A_3) B_2))))))) (forall ((Xa $$unsorted)) (=> (tptp.is_int Xa) (= (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int Xa)) (exists ((Y_1 $$unsorted)) (and (tptp.is_int Y_1) (= Xa (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) Y_1))))))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int Xa)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) Xa)))) (forall ((V_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_int_nat tptp.number_number_of_nat V_1)))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.hAPP_int_int tptp.number_number_of_int V_1))))) (and (=> _let_2 (= _let_1 tptp.one_one_nat)) (=> (not _let_2) (= _let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.succ V_1)))))))) (forall ((B_2 $$unsorted) (Bq $$unsorted) (Br $$unsorted) (A_3 $$unsorted) (C_1 $$unsorted) (Aq $$unsorted) (Ar $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Ar) Br))) (=> (tptp.is_int C_1) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.divmod_int_rel A_3 C_1) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int Aq) Ar))) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.divmod_int_rel B_2 C_1) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int Bq) Br))) (=> (not (= C_1 tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.divmod_int_rel (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_3) B_2) C_1) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Aq) Bq)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int _let_1) C_1))) (tptp.hAPP_int_int (tptp.div_mod_int _let_1) C_1)))))))))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int Xa)) (= (tptp.hAPP_int_int (tptp.div_mod_int Xa) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) tptp.zero_zero_int))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.is_int X) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int X)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int _let_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int X) _let_1)) X))))) (forall ((N $$unsorted) (V_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int V_1))) (let ((_let_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat (tptp.hAPP_int_nat tptp.number_number_of_nat V_1)) N))) (let ((_let_3 (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg _let_1)))) (and (=> _let_3 (= _let_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat tptp.zero_zero_nat) N))) (=> (not _let_3) (= _let_2 (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int _let_1) N))))))))) (forall ((W $$unsorted) (V_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat W))) (let ((_let_2 (tptp.hAPP_int_int tptp.number_number_of_int V_1))) (let ((_let_3 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat (tptp.hAPP_int_nat tptp.number_number_of_nat V_1)) _let_1))) (let ((_let_4 (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg _let_2)))) (and (=> _let_4 (= _let_3 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat tptp.zero_zero_nat) _let_1))) (=> (not _let_4) (= _let_3 (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int _let_2) _let_1)))))))))) (forall ((V_2 $$unsorted) (V_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int V_1))) (let ((_let_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_int_nat tptp.number_number_of_nat V_1)) (tptp.hAPP_int_nat tptp.number_number_of_nat V_2)))) (let ((_let_3 (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg _let_1)))) (and (=> _let_3 (= _let_2 tptp.zero_zero_nat)) (=> (not _let_3) (= _let_2 (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int _let_1) (tptp.hAPP_int_int tptp.number_number_of_int V_2)))))))))) (forall ((V_2 $$unsorted) (V_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int V_2))) (let ((_let_2 (tptp.hAPP_int_int tptp.number_number_of_int V_1))) (let ((_let_3 (tptp.hAPP_int_nat tptp.number_number_of_nat V_1))) (let ((_let_4 (tptp.hAPP_nat_nat (tptp.div_mod_nat _let_3) (tptp.hAPP_int_nat tptp.number_number_of_nat V_2)))) (let ((_let_5 (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg _let_1)))) (let ((_let_6 (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg _let_2)))) (and (=> _let_6 (= _let_4 tptp.zero_zero_nat)) (=> (not _let_6) (and (=> _let_5 (= _let_4 _let_3)) (=> (not _let_5) (= _let_4 (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.div_mod_int _let_2) _let_1)))))))))))))) (forall ((N $$unsorted) (V_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_int_nat tptp.number_number_of_nat V_1)) N)))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.hAPP_int_int tptp.number_number_of_int V_1))))) (and (=> _let_2 (= _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) N))) (=> (not _let_2) (= _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.succ V_1))) N))))))) (forall ((B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int tptp.min))) (= (tptp.negDivAlg _let_1 B_2) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int _let_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int B_2) tptp.one_one_int))))) (forall ((L_2 $$unsorted) (K_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K_2) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) L_2)) (= (tptp.negDivAlg K_2 L_2) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int K_2) L_2)) (tptp.hAPP_int_int (tptp.div_mod_int K_2) L_2)))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.negDivAlg A_3 B_2))) (let ((_let_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_3) B_2))) (let ((_let_3 (or (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) _let_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_2) tptp.zero_zero_int))))) (and (=> _let_3 (= _let_1 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int (tptp.hAPP_int_int tptp.number_number_of_int tptp.min)) _let_2))) (=> (not _let_3) (= _let_1 (tptp.hAPP_P1975530577nt_int (tptp.adjust B_2) (tptp.negDivAlg A_3 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) B_2)))))))))) (forall ((Xa $$unsorted)) (=> (tptp.is_int Xa) (= (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int Xa))) (exists ((Y_1 $$unsorted)) (and (tptp.is_int Y_1) (= Xa (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) Y_1)) tptp.one_one_int))))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (Q_1 $$unsorted) (R_2 $$unsorted)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_2)))) (=> (= A_3 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2) Q_1)) R_2)) (=> (and (=> _let_1 (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) R_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int R_2) B_2)))) (=> (not _let_1) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_2) R_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int R_2) tptp.zero_zero_int))))) (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.divmod_int_rel A_3 B_2) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int Q_1) R_2))))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int X))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X) tptp.one_one_int)) _let_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int X) _let_1)) tptp.one_one_int))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int X)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X) tptp.one_one_int)) _let_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int X) _let_1))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (C_1 $$unsorted) (Q_1 $$unsorted) (R_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3))) (let ((_let_2 (tptp.hAPP_int_int _let_1 R_2))) (=> (tptp.is_int C_1) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.divmod_int_rel B_2 C_1) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int Q_1) R_2))) (=> (not (= C_1 tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.divmod_int_rel (tptp.hAPP_int_int _let_1 B_2) C_1) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_1 Q_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int _let_2) C_1))) (tptp.hAPP_int_int (tptp.div_mod_int _let_2) C_1)))))))))) (forall ((W $$unsorted) (V_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int V_1))) (let ((_let_2 (tptp.hAPP_int_int tptp.number_number_of_int W))) (let ((_let_3 (tptp.negDivAlg _let_2 _let_1))) (let ((_let_4 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int _let_2) _let_1))) (let ((_let_5 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) _let_4)))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) _let_1)) (and (=> _let_5 (= _let_3 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int (tptp.hAPP_int_int tptp.number_number_of_int tptp.min)) _let_4))) (=> (not _let_5) (= _let_3 (tptp.hAPP_P1975530577nt_int (tptp.adjust _let_1) (tptp.negDivAlg _let_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) _let_1))))))))))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.negDivAlg A_3 B_2))) (let ((_let_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_3) B_2))) (let ((_let_3 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) _let_2)))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_2)) (and (=> _let_3 (= _let_1 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int (tptp.hAPP_int_int tptp.number_number_of_int tptp.min)) _let_2))) (=> (not _let_3) (= _let_1 (tptp.hAPP_P1975530577nt_int (tptp.adjust B_2) (tptp.negDivAlg A_3 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) B_2))))))))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_3) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) B_2)) (exists ((D_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) D_2)) (forall ((Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real X) Y_1))) D_2)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_3) Y_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y_1) B_2)))))))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.posDivAlg A_3 B_2))) (let ((_let_2 (or (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_3) B_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_2) tptp.zero_zero_int))))) (and (=> _let_2 (= _let_1 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int tptp.zero_zero_int) A_3))) (=> (not _let_2) (= _let_1 (tptp.hAPP_P1975530577nt_int (tptp.adjust B_2) (tptp.posDivAlg A_3 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) B_2))))))))) (forall ((W $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int W))) (let ((_let_2 (tptp.posDivAlg tptp.one_one_int _let_1))) (let ((_let_3 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) _let_1)))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) _let_1)) (and (=> _let_3 (= _let_2 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int tptp.zero_zero_int) tptp.one_one_int))) (=> (not _let_3) (= _let_2 (tptp.hAPP_P1975530577nt_int (tptp.adjust _let_1) (tptp.posDivAlg tptp.one_one_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) _let_1))))))))))) (forall ((W $$unsorted) (V_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int V_1))) (let ((_let_2 (tptp.hAPP_int_int tptp.number_number_of_int W))) (let ((_let_3 (tptp.posDivAlg _let_2 _let_1))) (let ((_let_4 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int _let_2) _let_1)))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) _let_1)) (and (=> _let_4 (= _let_3 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int tptp.zero_zero_int) _let_2))) (=> (not _let_4) (= _let_3 (tptp.hAPP_P1975530577nt_int (tptp.adjust _let_1) (tptp.posDivAlg _let_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) _let_1)))))))))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.posDivAlg A_3 B_2))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_3) B_2)))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_2)) (and (=> _let_2 (= _let_1 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int tptp.zero_zero_int) A_3))) (=> (not _let_2) (= _let_1 (tptp.hAPP_P1975530577nt_int (tptp.adjust B_2) (tptp.posDivAlg A_3 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) B_2)))))))))) (forall ((Ma $$unsorted) (No $$unsorted) (F $$unsorted)) (=> (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real F N_1)) (tptp.hAPP_nat_real F (tptp.hAPP_nat_nat tptp.suc N_1))))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real F Ma)) (tptp.hAPP_nat_real F (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ma) No)))))) (forall ((B_2 $$unsorted)) (= (tptp.posDivAlg tptp.zero_zero_int B_2) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int tptp.zero_zero_int) tptp.zero_zero_int))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_2)) (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.divmod_int_rel A_3 B_2) (tptp.posDivAlg A_3 B_2)))))) (forall ((K_2 $$unsorted) (L_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.abs_abs_int K_2))) (let ((_let_2 (tptp.pdivmod K_2 L_2))) (let ((_let_3 (= L_2 tptp.zero_zero_int))) (=> (tptp.is_int L_2) (and (=> _let_3 (= _let_2 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int tptp.zero_zero_int) _let_1))) (=> (not _let_3) (= _let_2 (tptp.posDivAlg _let_1 (tptp.hAPP_int_int tptp.abs_abs_int L_2)))))))))) (forall ((L_2 $$unsorted) (K_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 K_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 L_2)) (= (tptp.posDivAlg K_2 L_2) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int K_2) L_2)) (tptp.hAPP_int_int (tptp.div_mod_int K_2) L_2))))))) (forall ((X $$unsorted) (N $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.hAPP_int_int tptp.number_number_of_int N)))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.natceiling (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) (tptp.hAPP_int_real tptp.number267125858f_real N))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.natceiling X)) (tptp.hAPP_int_nat tptp.number_number_of_nat N)))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.negDivAlg A_1 B_1))) (let ((_let_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_1) B_1))) (let ((_let_3 (or (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) _let_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_1) tptp.zero_zero_int))))) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.accp_P2006205492nt_int tptp.negDivAlg_rel) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int A_1) B_1))) (and (=> _let_3 (= _let_1 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int (tptp.hAPP_int_int tptp.number_number_of_int tptp.min)) _let_2))) (=> (not _let_3) (= _let_1 (tptp.hAPP_P1975530577nt_int (tptp.adjust B_1) (tptp.negDivAlg A_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) B_1))))))))))) (forall ((X $$unsorted) (N $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.hAPP_int_int tptp.number_number_of_int N)))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.natfloor (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) (tptp.hAPP_int_real tptp.number267125858f_real N))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.natfloor X)) (tptp.hAPP_int_nat tptp.number_number_of_nat N)))))) (forall ((Xa $$unsorted) (Na $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.hAPP_int_int tptp.number_number_of_int Na)))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Xa)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.natceiling Xa)) (tptp.hAPP_int_nat tptp.number_number_of_nat Na))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) (tptp.hAPP_int_real tptp.number267125858f_real Na))))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.posDivAlg A_1 B_1))) (let ((_let_2 (or (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) B_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_1) tptp.zero_zero_int))))) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.accp_P2006205492nt_int tptp.posDivAlg_rel) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int A_1) B_1))) (and (=> _let_2 (= _let_1 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int tptp.zero_zero_int) A_1))) (=> (not _let_2) (= _let_1 (tptp.hAPP_P1975530577nt_int (tptp.adjust B_1) (tptp.posDivAlg A_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) B_1)))))))))) (forall ((P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_5)) (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_i1948725293t_bool tptp.sRStar P_5))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_5) tptp.one_one_int)))) (= (tptp.natfloor tptp.zero_zero_real) tptp.zero_zero_nat) (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.natfloor X)))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) Y)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.natfloor X)) (tptp.natfloor Y))))) (forall ((N $$unsorted)) (= (tptp.natfloor (tptp.hAPP_int_real tptp.number267125858f_real N)) (tptp.hAPP_int_nat tptp.number_number_of_nat N))) (= (tptp.natfloor tptp.one_one_real) tptp.one_one_nat) (= (tptp.natceiling tptp.zero_zero_real) tptp.zero_zero_nat) (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.natceiling X)))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) Y)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.natceiling X)) (tptp.natceiling Y))))) (forall ((N $$unsorted)) (= (tptp.natceiling (tptp.hAPP_int_real tptp.number267125858f_real N)) (tptp.hAPP_int_nat tptp.number_number_of_nat N))) (= (tptp.natceiling tptp.one_one_real) tptp.one_one_nat) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (= (tptp.natfloor X) tptp.zero_zero_nat))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (= (tptp.natceiling X) tptp.zero_zero_nat))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.one_one_nat) (tptp.natfloor Xa))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.one_one_real) Xa)))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.natceiling Xa)) tptp.one_one_nat)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) tptp.one_one_real)))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_3)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 B_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.natfloor A_3)) (tptp.natfloor B_2))) (tptp.natfloor (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_3) B_2)))))))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.natfloor (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) tptp.one_one_real)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.natfloor X)) tptp.one_one_nat)))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.natceiling (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) tptp.one_one_real)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.natceiling X)) tptp.one_one_nat)))) (forall ((Xa $$unsorted) (Na $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.hAPP_int_int tptp.number_number_of_int Na)))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Xa)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_int_nat tptp.number_number_of_nat Na)) (tptp.natfloor Xa))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.number267125858f_real Na)) Xa)))))) (forall ((P_1 $$unsorted) (A0 $$unsorted) (A1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.accp_P2006205492nt_int tptp.negDivAlg_rel) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int A0) A1))) (=> (forall ((A_2 $$unsorted) (B_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool P_1 A_2))) (=> (and (tptp.is_int A_2) (tptp.is_int B_4)) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.accp_P2006205492nt_int tptp.negDivAlg_rel) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int A_2) B_4))) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_2) B_4))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_4) tptp.zero_zero_int)))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) B_4)))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_4))))))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool P_1 A0) A1))))) (forall ((P_1 $$unsorted) (A0 $$unsorted) (A1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.accp_P2006205492nt_int tptp.posDivAlg_rel) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int A0) A1))) (=> (forall ((A_2 $$unsorted) (B_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool P_1 A_2))) (=> (and (tptp.is_int A_2) (tptp.is_int B_4)) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.accp_P2006205492nt_int tptp.posDivAlg_rel) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int A_2) B_4))) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_2) B_4)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_4) tptp.zero_zero_int)))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) B_4)))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_4))))))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool P_1 A0) A1))))) (forall ((J $$unsorted) (A_1 $$unsorted) (P_5 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int _let_1)) P_5)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_1) tptp.zero_zero_int) P_5))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.quadRes P_5) A_1))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong J) tptp.zero_zero_int) P_5))) (= (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_i1948725293t_bool (tptp.multInvPair A_1 P_5) J)) (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))))))))) (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_5)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_1) tptp.zero_zero_int) P_5))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.quadRes P_5) A_1))) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f628503027l_bool tptp.member_fun_int_bool X_1) (tptp.setS A_1 P_5))) (= (tptp.hAPP_f957591787ol_nat tptp.finite_card_int X_1) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))))))))) (forall ((K_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_i769753017umeral tptp.number1443263063umeral _let_1))) (let ((_let_3 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int _let_1)) (tptp.code_int_of (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.div_di1218280263umeral K_2) _let_2))))) (let ((_let_4 (tptp.code_int_of K_2))) (let ((_let_5 (= (tptp.hAPP_C498520661umeral (tptp.div_mo1740067990umeral K_2) _let_2) tptp.zero_z126310315umeral))) (let ((_let_6 (= K_2 tptp.zero_z126310315umeral))) (and (=> _let_6 (= _let_4 tptp.zero_zero_int)) (=> (not _let_6) (and (=> _let_5 (= _let_4 _let_3)) (=> (not _let_5) (= _let_4 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int _let_3) tptp.one_one_int))))))))))))) (forall ((Z_1 $$unsorted)) (=> (tptp.is_int Z_1) (not (forall ((M_1 $$unsorted) (N_1 $$unsorted)) (not (= Z_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int M_1)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int N_1)))))))) (= (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.minus_1690775515umeral tptp.zero_z126310315umeral) tptp.one_on1645066479umeral) tptp.zero_z126310315umeral) (= tptp.zero_z126310315umeral (tptp.hAPP_i769753017umeral tptp.number1443263063umeral tptp.pls)) (= tptp.one_on1645066479umeral (tptp.hAPP_i769753017umeral tptp.number1443263063umeral _let_1)) (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int _let_1) P_5)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_1) tptp.zero_zero_int) P_5))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.quadRes P_5) A_1))) (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_f521865025ol_nat tptp.finite1876863882t_bool (tptp.setS A_1 P_5))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_5) tptp.one_one_int)) _let_1)))))))) (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_5)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_1) tptp.zero_zero_int) P_5))) (= (tptp.comple219730294t_bool (tptp.setS A_1 P_5)) (tptp.hAPP_i1948725293t_bool tptp.sRStar P_5)))))) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zEven)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Xa)) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int tptp.number_number_of_int tptp.min)) (tptp.hAPP_int_nat tptp.nat Xa)) tptp.one_one_int)))) (forall ((K_2 $$unsorted) (L_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_2) L_2)) (exists ((N_1 $$unsorted)) (= L_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K_2) N_1))))) (forall ((I_1 $$unsorted) (P_1 $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool P_1 K)) (=> (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool P_1 (tptp.hAPP_nat_nat tptp.suc N_1))) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 N_1)))) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat K) I_1)))))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real tptp.ln (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.one_one_real) X))) X))) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))))))) (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int tptp.one_one_int) tptp.zEven))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zEven)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Xa) Ya)) tptp.zEven)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Xa) Ya)) tptp.zEven)) (or (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zEven)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Ya) tptp.zEven))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zEven)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Ya) tptp.zEven)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Xa) Ya)) tptp.zEven))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Xa) Ya)) tptp.zEven)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zEven)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Ya) tptp.zEven))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zEven)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Ya) tptp.zEven)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Xa) Ya)) tptp.zEven))))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_i2112223885l_bool tptp.member_int Xa))) (=> (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 tptp.zOdd))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 tptp.zEven))))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_i2112223885l_bool tptp.member_int Xa))) (or (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 tptp.zOdd)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 tptp.zEven))))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_i2112223885l_bool tptp.member_int Xa))) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 tptp.zOdd)) (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 tptp.zEven)))))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_i2112223885l_bool tptp.member_int Xa))) (not (and (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 tptp.zOdd)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 tptp.zEven)))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Xa)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Ya)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.ln Xa)) (tptp.hAPP_real_real tptp.ln Ya))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) Ya))))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Xa)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Ya)) (= (= (tptp.hAPP_real_real tptp.ln Xa) (tptp.hAPP_real_real tptp.ln Ya)) (= Xa Ya)))))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.ln X)) X)))) (= (tptp.hAPP_real_real tptp.ln tptp.one_one_real) tptp.zero_zero_real) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_1) B_1)) tptp.zOdd)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_1) tptp.zEven)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int B_1) tptp.zOdd))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_1) B_1)) tptp.zOdd)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_1) tptp.zOdd)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int B_1) tptp.zEven))))) (forall ((B_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_1) tptp.zEven)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int B_1) tptp.zOdd)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_1) B_1)) tptp.zOdd))))) (forall ((B_1 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_1) tptp.zOdd)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int B_1) tptp.zOdd)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_1) B_1)) tptp.zEven))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zEven)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Ya) tptp.zOdd)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Xa) Ya)) tptp.zOdd))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zOdd)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Ya) tptp.zEven)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Xa) Ya)) tptp.zOdd))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zOdd)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Ya) tptp.zOdd)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Xa) Ya)) tptp.zEven))))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (= (tptp.hAPP_real_real tptp.ln X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real X) tptp.one_one_real)) (= X tptp.one_one_real)))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Xa)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Ya)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.ln Xa)) (tptp.hAPP_real_real tptp.ln Ya))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) Ya))))))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.one_one_real) X)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_real_real tptp.ln X))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real tptp.ln X))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real) X)))))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.ln X)) tptp.zero_zero_real))))) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Xa)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.ln Xa)) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) tptp.one_one_real))))) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Xa)) (= (= (tptp.hAPP_real_real tptp.ln Xa) tptp.zero_zero_real) (= Xa tptp.one_one_real)))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Xa)) (= (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real tptp.ln Xa))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real) Xa)))))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real) X)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.hAPP_real_real tptp.ln X))))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.ln X)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real X) tptp.one_one_real))))) (forall ((Xa $$unsorted) (Na $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Xa) Na)) tptp.zEven)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zEven))))) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zOdd)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Xa) tptp.one_one_int)) tptp.zEven)))) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Xa)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_real_real tptp.ln Xa))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.one_one_real) Xa))))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_real_real tptp.ln X))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.one_one_real) X))))) (forall ((Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Y)) (= (tptp.hAPP_real_real tptp.ln (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real tptp.ln X)) (tptp.hAPP_real_real tptp.ln Y))))))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.ln (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.one_one_real) X))) X)))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) X)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.ln (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.one_one_real) X))) X)))) (forall ((Xa $$unsorted) (K $$unsorted)) (=> (= Xa (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) K)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zEven)))) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zEven)) (= (tptp.hAPP_int_int (tptp.div_mod_int Xa) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) tptp.zero_zero_int))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Ya) tptp.zEven)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Xa) Ya)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int Xa) _let_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int Ya) _let_1))))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zEven)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Xa) Ya)) _let_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int Xa) _let_1)) Ya))))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.is_int Xa) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zEven)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int _let_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int Xa) _let_1)) Xa))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zEven)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Ya) tptp.zEven)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Xa) Ya)) _let_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int Xa) _let_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int Ya) _let_1))))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int tptp.number_number_of_int tptp.min)))) (let ((_let_2 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_2 Xa)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_2 Ya)) (=> (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zEven)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Ya) tptp.zEven))) (= (tptp.hAPP_nat_int _let_1 (tptp.hAPP_int_nat tptp.nat Xa)) (tptp.hAPP_nat_int _let_1 (tptp.hAPP_int_nat tptp.nat Ya))))))))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real X) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (tptp.hAPP_real_real tptp.ln (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.one_one_real) X))))))) (forall ((Xa $$unsorted)) (=> (tptp.is_int Xa) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zEven)) (not (forall ((K_1 $$unsorted)) (=> (tptp.is_int K_1) (not (= Xa (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) K_1))))))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_int_real tptp.number267125858f_real _let_1))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real X)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.one_one_real) _let_2))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real tptp.ln (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.one_one_real) X))) X))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real _let_2) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))))))))) (forall ((N $$unsorted) (I $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.code_nat_of_aux I) N))) (let ((_let_2 (= I tptp.zero_z126310315umeral))) (and (=> _let_2 (= _let_1 N)) (=> (not _let_2) (= _let_1 (tptp.hAPP_nat_nat (tptp.code_nat_of_aux (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.minus_1690775515umeral I) tptp.one_on1645066479umeral)) (tptp.hAPP_nat_nat tptp.suc N)))))))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.one_one_real) X)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.ln X)) X)))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.exp_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real X) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.one_one_real) X)))))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) Y)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.exp_real X)) (tptp.hAPP_real_real tptp.exp_real Y))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (= (tptp.hAPP_real_real tptp.exp_real Xa) (tptp.hAPP_real_real tptp.exp_real Ya)) (= Xa Ya))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.exp_real Xa)) (tptp.hAPP_real_real tptp.exp_real Ya))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) Ya)))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.exp_real X)) (tptp.hAPP_real_real tptp.exp_real Y))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) Y)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.exp_real Xa)) (tptp.hAPP_real_real tptp.exp_real Ya))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) Ya)))) (forall ((R_2 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real R_2))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real _let_1 A_3)) (tptp.hAPP_real_real _let_1 R_2)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real A_3) R_2)))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real tptp.exp_real X))) (= (tptp.hAPP_real_real tptp.abs_abs_real _let_1) _let_1))) (forall ((X $$unsorted)) (= (tptp.hAPP_real_real tptp.ln (tptp.hAPP_real_real tptp.exp_real X)) X)) (forall ((U_1 $$unsorted) (X $$unsorted)) (=> (= (tptp.hAPP_real_real tptp.exp_real U_1) X) (= (tptp.hAPP_real_real tptp.ln X) U_1))) (forall ((Y $$unsorted) (X $$unsorted)) (=> (= (tptp.hAPP_real_real tptp.exp_real Y) X) (= (tptp.hAPP_real_real tptp.ln X) Y))) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.exp_real tptp.one_one_real)) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) Y)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real tptp.ln Y)) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real tptp.ln X)) X)))))) (forall ((X $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.exp_real X)) tptp.zero_zero_real)))) (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_real_real tptp.exp_real X)))) (forall ((X $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.exp_real X)) tptp.zero_zero_real)))) (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.hAPP_real_real tptp.exp_real X)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (= (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real Xa) Ya))) (and (or (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Ya))) (or (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Xa)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Ya) tptp.zero_zero_real))))))) (forall ((Xa $$unsorted)) (= (= (tptp.hAPP_real_real tptp.exp_real Xa) tptp.one_one_real) (= Xa tptp.zero_zero_real))) (forall ((F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real F A_1))) (let ((_let_2 (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real F B_1)))) (let ((_let_3 (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real _let_2 _let_1)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real B_1) A_1))))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real _let_1) (tptp.hAPP_real_real _let_3 A_1)) (tptp.hAPP_real_real _let_2 (tptp.hAPP_real_real _let_3 B_1))))))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.exp_real Xa)) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) tptp.zero_zero_real)))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.hAPP_real_real tptp.exp_real Xa))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Xa)))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real) (tptp.hAPP_real_real tptp.exp_real Xa))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Xa)))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.exp_real Xa)) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) tptp.zero_zero_real)))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real) (tptp.hAPP_real_real tptp.exp_real X))))) (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.one_one_real) X)) (tptp.hAPP_real_real tptp.exp_real X)))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.hAPP_real_real tptp.exp_real (tptp.hAPP_real_real tptp.ln X)) X))) (forall ((Xa $$unsorted)) (= (= (tptp.hAPP_real_real tptp.exp_real (tptp.hAPP_real_real tptp.ln Xa)) Xa) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Xa)))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.one_one_real) X)) (tptp.hAPP_real_real tptp.exp_real X))))) (forall ((Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Y)) (= (tptp.hAPP_real_real tptp.ln (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real tptp.ln X)) (tptp.hAPP_real_real tptp.ln Y))))))) (forall ((Xa $$unsorted) (Ya $$unsorted) (Z_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real Ya))) (let ((_let_2 (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (= (= Xa (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real _let_2 Z_2))) (= (tptp.hAPP_real_real _let_2 Xa) (tptp.hAPP_real_real _let_1 Z_2)))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real X) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real _let_1) _let_1) X))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Y)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) Y)) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))))))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) Y)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) Y)) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) Y)))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_3) B_2)) _let_1)) A_3) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real B_2) A_3)) _let_1)))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real B_2) A_3)) _let_1)) A_3) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real B_2) A_3)) _let_1)))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.exp_real X)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.one_one_real) X)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))))))) (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.one_one_real) Y)) (exists ((X_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_1) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real Y) tptp.one_one_real))) (= (tptp.hAPP_real_real tptp.exp_real X_1) Y))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_int_real tptp.number267125858f_real _let_1))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.one_one_real) _let_2))) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real tptp.ln (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.one_one_real) X))) X))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real _let_2) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1)))))))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.hAPP_real_real (tptp.log _let_1) X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real tptp.ln (tptp.hAPP_real_real tptp.exp_real tptp.one_one_real))) (tptp.hAPP_real_real tptp.ln _let_1))) (tptp.hAPP_real_real tptp.ln X)))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_complex_real tptp.norm_norm_complex X))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_1)) _let_1)))) (forall ((R_2 $$unsorted)) (= (tptp.hAPP_real_real tptp.norm_norm_real R_2) (tptp.hAPP_real_real tptp.abs_abs_real R_2))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_complex_real tptp.norm_norm_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex B_2) A_3))) (tptp.hAPP_complex_real tptp.norm_norm_complex B_2))) (tptp.hAPP_complex_real tptp.norm_norm_complex A_3)))) (forall ((U_1 $$unsorted) (X $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real U_1) U_1))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real X) X)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real Xa) Ya) tptp.zero_zero_real) (= Ya (tptp.hAPP_real_real tptp.uminus_uminus_real Xa)))) (forall ((Xa $$unsorted) (A_1 $$unsorted)) (= (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real Xa) (tptp.hAPP_real_real tptp.uminus_uminus_real A_1)) tptp.zero_zero_real) (= Xa A_1))) (forall ((Xa $$unsorted) (Ra $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real Xa)) Ra)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.uminus_uminus_real Ra)) Xa)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) Ra))))) (forall ((R_2 $$unsorted) (S_1 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real R_2) S_1) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real R_2) (tptp.hAPP_real_real tptp.uminus_uminus_real S_1)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real X) Y) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) (tptp.hAPP_real_real tptp.uminus_uminus_real Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) (tptp.hAPP_real_real tptp.uminus_uminus_real Y))) (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real Y) (tptp.hAPP_real_real tptp.uminus_uminus_real X))))) (forall ((A_3 $$unsorted)) (= (tptp.hAPP_real_real (tptp.log A_3) tptp.one_one_real) tptp.zero_zero_real)) (forall ((A_3 $$unsorted) (X $$unsorted)) (= (tptp.hAPP_real_real (tptp.log A_3) X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real tptp.ln X)) (tptp.hAPP_real_real tptp.ln A_3)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real Xa) Ya))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.uminus_uminus_real Xa)) Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real Xa) Ya)) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Ya) (tptp.hAPP_real_real tptp.uminus_uminus_real Xa))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real Xa) Ya))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.uminus_uminus_real Xa)) Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real Xa) Ya)) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Ya) (tptp.hAPP_real_real tptp.uminus_uminus_real Xa))))) (forall ((A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real tptp.abs_abs_real A_3))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_3) tptp.zero_zero_real)))) (and (=> _let_2 (= _let_1 (tptp.hAPP_real_real tptp.uminus_uminus_real A_3))) (=> (not _let_2) (= _let_1 A_3)))))) (forall ((R_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real tptp.abs_abs_real R_2))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real R_2) tptp.zero_zero_real)))) (and (=> _let_2 (= _let_1 (tptp.hAPP_real_real tptp.uminus_uminus_real R_2))) (=> (not _let_2) (= _let_1 R_2)))))) (forall ((X $$unsorted) (Y $$unsorted) (L_2 $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real tptp.uminus_uminus_real M))) (let ((_let_2 (tptp.hAPP_real_real tptp.uminus_uminus_real L_2))) (let ((_let_3 (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real _let_3 Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real _let_2) _let_1)))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real _let_3 _let_2))) (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real Y) _let_1))))))))) (forall ((A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) A_3)) (=> (not (= A_3 tptp.one_one_real)) (= (tptp.hAPP_real_real (tptp.log A_3) A_3) tptp.one_one_real)))) (forall ((Ya $$unsorted) (Xa $$unsorted) (A_1 $$unsorted)) (let ((_let_1 (tptp.log A_1))) (let ((_let_2 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real) A_1)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_2 Xa)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_2 Ya)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real _let_1 Xa)) (tptp.hAPP_real_real _let_1 Ya))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) Ya))))))))) (forall ((X $$unsorted)) (= (tptp.hAPP_real_real tptp.ln X) (tptp.hAPP_real_real (tptp.log (tptp.hAPP_real_real tptp.exp_real tptp.one_one_real)) X))) (forall ((Ya $$unsorted) (Xa $$unsorted) (A_1 $$unsorted)) (let ((_let_1 (tptp.log A_1))) (let ((_let_2 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real) A_1)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_2 Xa)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_2 Ya)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real _let_1 Xa)) (tptp.hAPP_real_real _let_1 Ya))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) Ya))))))))) (forall ((U_1 $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real U_1) _let_1))) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) _let_1))))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.ln (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real tptp.one_one_real) X))) (tptp.hAPP_real_real tptp.uminus_uminus_real X)))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real tptp.one_one_real) X))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) tptp.one_one_real)) (= (tptp.hAPP_real_real tptp.ln _let_1) (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real tptp.ln (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.one_one_real) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real X) _let_1)))))))) (forall ((Y $$unsorted) (X $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.log A_3))) (let ((_let_2 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_2 A_3)) (=> (not (= A_3 tptp.one_one_real)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_2 X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_2 Y)) (= (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real _let_1 X)) (tptp.hAPP_real_real _let_1 Y)))))))))) (forall ((Y $$unsorted) (X $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.log A_3))) (let ((_let_2 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_2 A_3)) (=> (not (= A_3 tptp.one_one_real)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_2 X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_2 Y)) (= (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real _let_1 X)) (tptp.hAPP_real_real _let_1 Y)))))))))) (forall ((X $$unsorted) (B_2 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_3)) (=> (not (= A_3 tptp.one_one_real)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 B_2)) (=> (not (= B_2 tptp.one_one_real)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X)) (= (tptp.hAPP_real_real (tptp.log A_3) X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real tptp.ln B_2)) (tptp.hAPP_real_real tptp.ln A_3))) (tptp.hAPP_real_real (tptp.log B_2) X)))))))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.log (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.hAPP_real_real _let_1 X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real tptp.exp_real tptp.one_one_real))) (tptp.hAPP_real_real tptp.ln X)))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_int_real tptp.number267125858f_real _let_1))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.one_one_real) _let_2))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real tptp.uminus_uminus_real X)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real _let_2) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))))) (tptp.hAPP_real_real tptp.ln (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real tptp.one_one_real) X))))))))) (forall ((N $$unsorted) (M $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int N))) (tptp.hAPP_nat_int tptp.semiri1621563631at_int M)))) (forall ((N $$unsorted) (M $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat tptp.suc N)))) (tptp.hAPP_nat_int tptp.semiri1621563631at_int M)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex X) Y) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex X) (tptp.hAPP_complex_complex tptp.uminus473333897omplex Y)))) (forall ((Z_1 $$unsorted)) (=> (tptp.is_int Z_1) (= (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_int_int tptp.uminus_uminus_int Z_1)) Z_1))) (= (tptp.hAPP_int_int tptp.uminus_uminus_int tptp.pls) tptp.pls) (forall ((K_2 $$unsorted)) (= (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_int_int tptp.bit0 K_2)) (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.uminus_uminus_int K_2)))) (= (tptp.hAPP_int_int tptp.uminus_uminus_int tptp.zero_zero_int) tptp.zero_zero_int) (forall ((Z_1 $$unsorted) (W $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.uminus_uminus_int Z_1)) W) (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Z_1) W)))) (forall ((Z_1 $$unsorted) (W $$unsorted)) (= (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Z_1) W)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.uminus_uminus_int Z_1)) (tptp.hAPP_int_int tptp.uminus_uminus_int W)))) (forall ((W $$unsorted)) (= (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_int_int tptp.number_number_of_int W)) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.uminus_uminus_int W)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (Ma $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool (tptp.zcong A_1) B_1))) (= (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int tptp.uminus_uminus_int Ma))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Ma))))) (forall ((D_1 $$unsorted) (Ta $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int D_1) Ta)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_int_int tptp.uminus_uminus_int D_1)) Ta)))) (forall ((D_1 $$unsorted) (Ta $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int D_1))) (= (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Ta)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int tptp.uminus_uminus_int Ta)))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int tptp.uminus_uminus_int A_3)) (tptp.hAPP_int_int tptp.uminus_uminus_int B_2)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) B_2))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) (tptp.hAPP_int_int tptp.uminus_uminus_int B_2)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int tptp.uminus_uminus_int A_3)) B_2))) (forall ((X $$unsorted) (M $$unsorted)) (= (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_int_int (tptp.div_mod_int X) M))) M) (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int tptp.uminus_uminus_int X)) M))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int tptp.uminus_uminus_int A_3)) (tptp.hAPP_int_int tptp.uminus_uminus_int B_2)) (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_int_int (tptp.div_mod_int A_3) B_2)))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.div_mod_int A_3) (tptp.hAPP_int_int tptp.uminus_uminus_int B_2)) (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int tptp.uminus_uminus_int A_3)) B_2)))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int (tptp.hAPP_int_int tptp.uminus_uminus_int Xa))) (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int Xa)))) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int tptp.uminus_uminus_int Z_1)) Z_1) tptp.zero_zero_int)) (forall ((Na $$unsorted) (Ma $$unsorted)) (= (= (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int Na)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Ma)) (and (= Na tptp.zero_zero_nat) (= Ma tptp.zero_zero_nat)))) (forall ((N $$unsorted) (M $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int N)) (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int M)))))) (forall ((Z_1 $$unsorted) (W $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Z_1) (tptp.hAPP_int_int tptp.uminus_uminus_int W)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Z_1) W))) (forall ((Z_1 $$unsorted) (W $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Z_1) W) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Z_1) (tptp.hAPP_int_int tptp.uminus_uminus_int W)))) (= tptp.min (tptp.hAPP_int_int tptp.uminus_uminus_int tptp.one_one_int)) (forall ((K_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int tptp.min) K_2) (tptp.hAPP_int_int tptp.uminus_uminus_int K_2))) (forall ((K_2 $$unsorted) (L_2 $$unsorted)) (=> (not (= (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int tptp.uminus_uminus_int K_2)) L_2) tptp.zero_zero_int)) (not (= (tptp.hAPP_int_int (tptp.div_mod_int K_2) L_2) tptp.zero_zero_int)))) (forall ((K_2 $$unsorted) (L_2 $$unsorted)) (let ((_let_1 (tptp.div_mod_int K_2))) (=> (not (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int tptp.uminus_uminus_int L_2)) tptp.zero_zero_int)) (not (= (tptp.hAPP_int_int _let_1 L_2) tptp.zero_zero_int))))) (= (tptp.hAPP_int_int tptp.uminus_uminus_int tptp.min) _let_1) (forall ((Na $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int Na)) (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int Ma)))) (and (= Na tptp.zero_zero_nat) (= Ma tptp.zero_zero_nat)))) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int N))) tptp.zero_zero_int))) (forall ((N $$unsorted)) (= (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int N))) tptp.zero_zero_nat)) (forall ((V_1 $$unsorted) (W $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int tptp.number_number_of_int V_1)) (tptp.hAPP_int_int tptp.number_number_of_int W)) (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int V_1) (tptp.hAPP_int_int tptp.uminus_uminus_int W))))) (forall ((I $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.abs_abs_int I))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int I) tptp.zero_zero_int)))) (=> (tptp.is_int I) (and (=> _let_2 (= _let_1 (tptp.hAPP_int_int tptp.uminus_uminus_int I))) (=> (not _let_2) (= _let_1 I))))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.div_mod_int A_3) B_2))) (let ((_let_2 (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int tptp.uminus_uminus_int A_3)) B_2))) (let ((_let_3 (= _let_1 tptp.zero_zero_int))) (and (=> _let_3 (= _let_2 tptp.zero_zero_int)) (=> (not _let_3) (= _let_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int B_2) _let_1)))))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.div_mod_int A_3))) (let ((_let_2 (tptp.hAPP_int_int _let_1 B_2))) (let ((_let_3 (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int tptp.uminus_uminus_int B_2)))) (let ((_let_4 (= _let_2 tptp.zero_zero_int))) (and (=> _let_4 (= _let_3 tptp.zero_zero_int)) (=> (not _let_4) (= _let_3 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int _let_2) B_2))))))))) (forall ((A_3 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) (tptp.hAPP_int_int tptp.number_number_of_int tptp.min)) (tptp.hAPP_int_int tptp.uminus_uminus_int A_3))) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat tptp.suc N)))))) (forall ((A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int tptp.uminus_uminus_int A_3)) _let_1) (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_3) _let_1))))) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat tptp.suc N)))) tptp.zero_zero_int))) (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat tptp.suc N))))))) (forall ((Z_4 $$unsorted) (Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Z_1) tptp.zero_zero_int)) (= (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Z_1) Z_4)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int tptp.uminus_uminus_int Z_1))) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int tptp.uminus_uminus_int Z_4)))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3))) (let ((_let_2 (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_int_int _let_1 B_2)))) (let ((_let_3 (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int tptp.uminus_uminus_int B_2)))) (let ((_let_4 (= (tptp.hAPP_int_int (tptp.div_mod_int A_3) B_2) tptp.zero_zero_int))) (=> (tptp.is_int B_2) (=> (not (= B_2 tptp.zero_zero_int)) (and (=> _let_4 (= _let_3 _let_2)) (=> (not _let_4) (= _let_3 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int _let_2) tptp.one_one_int))))))))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) B_2)))) (let ((_let_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int tptp.uminus_uminus_int A_3)) B_2))) (let ((_let_3 (= (tptp.hAPP_int_int (tptp.div_mod_int A_3) B_2) tptp.zero_zero_int))) (=> (tptp.is_int B_2) (=> (not (= B_2 tptp.zero_zero_int)) (and (=> _let_3 (= _let_2 _let_1)) (=> (not _let_3) (= _let_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int _let_1) tptp.one_one_int)))))))))) (forall ((A_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.nat Xa))) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zEven)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Xa)) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int tptp.uminus_uminus_int A_1)) _let_1) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_1) _let_1)))))) (forall ((A_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.nat Xa))) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zOdd)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Xa)) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int tptp.uminus_uminus_int A_1)) _let_1) (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_1) _let_1))))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (Q_2 $$unsorted) (Ra $$unsorted)) (let ((_let_1 (tptp.hAPP_b1463609396nt_int tptp.if_int (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.fequal_int Ra) tptp.zero_zero_int)))) (let ((_let_2 (tptp.hAPP_int_int tptp.uminus_uminus_int Q_2))) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.divmod_int_rel A_1 B_1) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int Q_2) Ra))) (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.divmod_int_rel (tptp.hAPP_int_int tptp.uminus_uminus_int A_1) B_1) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int _let_1 _let_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int _let_2) tptp.one_one_int))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int _let_1 tptp.zero_zero_int) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int B_1) Ra))))))))) (forall ((X $$unsorted)) (=> (tptp.is_int X) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X) tptp.zero_zero_int)) (exists ((N_1 $$unsorted)) (= X (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat tptp.suc N_1)))))))) (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (exists ((X_1 $$unsorted)) (= (tptp.hAPP_real_real tptp.exp_real X_1) Y)))) (forall ((Y $$unsorted) (X $$unsorted) (U_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))) (let ((_let_3 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (let ((_let_4 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real U_1) (tptp.hAPP_int_real tptp.number267125858f_real _let_1)))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) U_1)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) _let_4)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y) _let_4)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_3 X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_3 Y)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) _let_2)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y) _let_2)))) U_1)))))))))))) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.abs_abs_real Y)) tptp.one_one_real)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real tptp.arctan X)) (tptp.hAPP_real_real tptp.arctan Y)) (tptp.hAPP_real_real tptp.arctan (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real tptp.one_one_real) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real X) Y)))))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real tptp.sqrt X)) (tptp.hAPP_real_real tptp.sqrt Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) Y)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.sqrt X)) (tptp.hAPP_real_real tptp.sqrt Y))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.sqrt Xa)) (tptp.hAPP_real_real tptp.sqrt Ya))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (= (tptp.hAPP_real_real tptp.sqrt Xa) (tptp.hAPP_real_real tptp.sqrt Ya)) (= Xa Ya))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) Y)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.sqrt X)) (tptp.hAPP_real_real tptp.sqrt Y))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.sqrt Xa)) (tptp.hAPP_real_real tptp.sqrt Ya))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) Ya)))) (forall ((Xa $$unsorted)) (= (= (tptp.hAPP_real_real tptp.sqrt Xa) tptp.zero_zero_real) (= Xa tptp.zero_zero_real))) (= (tptp.hAPP_real_real tptp.sqrt tptp.zero_zero_real) tptp.zero_zero_real) (= (tptp.hAPP_real_real tptp.sqrt tptp.one_one_real) tptp.one_one_real) (forall ((Xa $$unsorted)) (= (= (tptp.hAPP_real_real tptp.sqrt Xa) tptp.one_one_real) (= Xa tptp.one_one_real))) (forall ((X $$unsorted) (K_2 $$unsorted)) (= (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) K_2)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real tptp.sqrt X)) K_2))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.sqrt X)) (tptp.hAPP_real_real tptp.sqrt Y)))) (forall ((X $$unsorted)) (= (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real tptp.uminus_uminus_real X)) (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real tptp.sqrt X)))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) Y)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.arctan X)) (tptp.hAPP_real_real tptp.arctan Y))))) (= (tptp.hAPP_real_real tptp.arctan tptp.zero_zero_real) tptp.zero_zero_real) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) Y)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.arctan X)) (tptp.hAPP_real_real tptp.arctan Y))))) (forall ((X $$unsorted)) (= (tptp.hAPP_real_real tptp.arctan (tptp.hAPP_real_real tptp.uminus_uminus_real X)) (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real tptp.arctan X)))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (= (tptp.hAPP_real_real tptp.sqrt X) tptp.zero_zero_real) (= X tptp.zero_zero_real)))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real tptp.sqrt X)))))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.sqrt Xa)) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) tptp.zero_zero_real)))) (forall ((Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (= (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real tptp.sqrt Ya))) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Ya))))) (forall ((Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (= (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real tptp.sqrt Ya))) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Ya))))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.sqrt Xa)) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) tptp.zero_zero_real)))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (not (= (tptp.hAPP_real_real tptp.sqrt X) tptp.zero_zero_real)))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real tptp.sqrt X)))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.one_one_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real tptp.sqrt X)))))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.sqrt Xa)) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) tptp.one_one_real)))) (forall ((Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.one_one_real))) (= (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real tptp.sqrt Ya))) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Ya))))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.sqrt Xa)) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) tptp.one_one_real)))) (forall ((Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real))) (= (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real tptp.sqrt Ya))) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Ya))))) (forall ((X $$unsorted)) (= (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real X) X)) (tptp.hAPP_real_real tptp.abs_abs_real X))) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real X) X)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Y) Y)))))) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real X) X)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Y) Y)))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.one_one_real))) (= (tptp.hAPP_real_real tptp.arctan X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real _let_1)) (tptp.hAPP_real_real tptp.arctan (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real X) (tptp.hAPP_real_real _let_2 (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real _let_2 (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1)))))))))))) (tptp.hBOOL (tptp.hAPP_real_bool _let_29 _let_71)) (tptp.hBOOL (tptp.hAPP_real_bool _let_76 _let_71)) (tptp.hBOOL (tptp.hAPP_real_bool _let_78 _let_71)) (forall ((X $$unsorted)) (= (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (tptp.hAPP_real_real tptp.abs_abs_real X))) (forall ((Xa $$unsorted)) (= (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real tptp.sqrt Xa)) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) Xa) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Xa)))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real tptp.sqrt X)) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) X))) (forall ((Y $$unsorted) (X $$unsorted)) (=> (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) X) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= (tptp.hAPP_real_real tptp.sqrt X) Y)))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real tptp.sqrt X)) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))))))) (forall ((U_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) U_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real U_1) (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) U_1)))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y) _let_1))))))) (forall ((Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y) (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y) _let_1))))))) (forall ((A_3 $$unsorted) (C_1 $$unsorted) (B_2 $$unsorted) (D_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_3) C_1)) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real B_2) D_3)) _let_1)))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_3) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real B_2) _let_1)))) (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real C_1) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real D_3) _let_1)))))))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (= (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y) _let_1))) X) (= Y tptp.zero_zero_real)))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (= (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y) _let_1))) Y) (= X tptp.zero_zero_real)))) (forall ((X $$unsorted) (Y $$unsorted) (Xa_2 $$unsorted) (Ya_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (let ((_let_2 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y) _let_1))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Xa_2) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Ya_1) _let_1))))) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real tptp.sqrt _let_2)) _let_1) _let_2)))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y) _let_1))))))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real X)) (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y) _let_1))))))) (forall ((Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real Y)) (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y) _let_1))))))) (forall ((X $$unsorted) (Y $$unsorted) (Xa_2 $$unsorted) (Ya_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y) _let_1))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Xa_2) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Ya_1) _let_1)))))))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real X) (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y) _let_1)))))) tptp.one_one_real)))) (forall ((Y $$unsorted) (X $$unsorted) (U_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))) (let ((_let_3 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real U_1) (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_int_real tptp.number267125858f_real _let_1))))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.abs_abs_real X)) _let_3)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.abs_abs_real Y)) _let_3)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) _let_2)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y) _let_2)))) U_1)))))))) (= _let_48 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real _let_47) (tptp.hAPP_real_real tptp.arctan (tptp.hAPP_real_real _let_34 (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit1 _let_2)))))) (tptp.hAPP_real_real tptp.arctan (tptp.hAPP_real_real _let_34 (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 _let_10))))))))))) (forall ((K_2 $$unsorted) (L_2 $$unsorted)) (let ((_let_1 (tptp.div_mod_int K_2))) (let ((_let_2 (tptp.hAPP_int_int (tptp.z3mod K_2) L_2))) (let ((_let_3 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) L_2)))) (and (=> _let_3 (= _let_2 (tptp.hAPP_int_int _let_1 L_2))) (=> (not _let_3) (= _let_2 (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int tptp.uminus_uminus_int L_2))))))))) (forall ((K_2 $$unsorted) (L_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.div_div_int K_2))) (let ((_let_2 (tptp.hAPP_int_int (tptp.z3div K_2) L_2))) (let ((_let_3 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) L_2)))) (and (=> _let_3 (= _let_2 (tptp.hAPP_int_int _let_1 L_2))) (=> (not _let_3) (= _let_2 (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int tptp.uminus_uminus_int L_2)))))))))) (not (= tptp.pi tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool _let_29 tptp.pi)) (tptp.hBOOL (tptp.hAPP_real_bool _let_76 tptp.pi)) (not (tptp.hBOOL (tptp.hAPP_real_bool _let_77 tptp.zero_zero_real))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real _let_14) tptp.pi)) (tptp.hBOOL (tptp.hAPP_real_bool _let_77 _let_47)) (not (= _let_16 _let_14)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real _let_16) _let_14)) (not (= _let_16 tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real _let_16) _let_14)) (tptp.hBOOL (tptp.hAPP_real_bool _let_29 _let_16)) (tptp.hBOOL (tptp.hAPP_real_bool _let_76 _let_16)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_74)) tptp.pi)) (forall ((Y $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.arctan Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))))) (= (tptp.hAPP_real_real tptp.arctan tptp.one_one_real) _let_48) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_16)) tptp.zero_zero_real)) (forall ((Y $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (tptp.hAPP_real_real tptp.arctan Y)))) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (let ((_let_2 (tptp.hAPP_real_real tptp.arctan Y))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_1)) _let_2)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real _let_2) _let_1)))))) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (let ((_let_2 (tptp.hAPP_real_real tptp.arcsin Y))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) Y)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y) tptp.one_one_real)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_1)) _let_2)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real _let_2) _let_1)))))))) (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) Y)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (tptp.hAPP_real_real tptp.arcsin Y)))))) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (let ((_let_2 (tptp.hAPP_real_real tptp.arcsin Y))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) Y)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_1)) _let_2)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real _let_2) _let_1)))))))) (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) Y)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.arcsin Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))))))) (forall ((X $$unsorted)) (=> (not (= X tptp.zero_zero_real)) (= (tptp.hAPP_real_real tptp.arctan (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.one_one_real) X)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.sgn_sgn_real X)) tptp.pi)) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (tptp.hAPP_real_real tptp.arctan X))))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (= (tptp.hAPP_real_real tptp.cos (tptp.hAPP_real_real tptp.arcsin X)) (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real tptp.one_one_real) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))))))) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real tptp.arcsin Y))) (let ((_let_2 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) Y)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real _let_1) _let_2)) (= (tptp.hAPP_real_real tptp.sin _let_1) Y))))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_real_real tptp.sin (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.sin X)) (tptp.hAPP_real_real tptp.cos Y))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.cos X)) (tptp.hAPP_real_real tptp.sin Y))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_real_real tptp.sin (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.cos Y)) (tptp.hAPP_real_real tptp.sin X))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.sin Y)) (tptp.hAPP_real_real tptp.cos X))))) (forall ((X $$unsorted)) (= (tptp.hAPP_real_real tptp.sin (tptp.hAPP_real_real tptp.uminus_uminus_real X)) (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real tptp.sin X)))) (forall ((X $$unsorted)) (= (tptp.hAPP_real_real tptp.cos (tptp.hAPP_real_real tptp.uminus_uminus_real X)) (tptp.hAPP_real_real tptp.cos X))) (= (tptp.hAPP_real_real tptp.sin tptp.zero_zero_real) tptp.zero_zero_real) (forall ((X $$unsorted)) (=> (= (tptp.hAPP_real_real tptp.cos X) tptp.one_one_real) (= (tptp.hAPP_real_real tptp.sin X) tptp.zero_zero_real))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_real_real tptp.sin (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.sin X)) (tptp.hAPP_real_real tptp.cos Y))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.cos X)) (tptp.hAPP_real_real tptp.sin Y))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real tptp.sin X))) (let ((_let_2 (tptp.hAPP_real_real tptp.cos X))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real _let_2) _let_2)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real _let_1) _let_1)) tptp.one_one_real)))) (forall ((X $$unsorted)) (=> (= (tptp.hAPP_real_real tptp.sin X) tptp.zero_zero_real) (= (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real tptp.cos X)) tptp.one_one_real))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_real_real tptp.cos (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.cos Y)) (tptp.hAPP_real_real tptp.cos X))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.sin Y)) (tptp.hAPP_real_real tptp.sin X))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_real_real tptp.cos (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.cos X)) (tptp.hAPP_real_real tptp.cos Y))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.sin X)) (tptp.hAPP_real_real tptp.sin Y))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_real_real tptp.cos (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.cos X)) (tptp.hAPP_real_real tptp.cos Y))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.sin X)) (tptp.hAPP_real_real tptp.sin Y))))) (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.sin X)) tptp.one_one_real))) (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.cos X)) tptp.one_one_real))) (= (tptp.hAPP_real_real tptp.cos tptp.zero_zero_real) tptp.one_one_real) (= (tptp.hAPP_real_real tptp.sin tptp.pi) tptp.zero_zero_real) (forall ((X $$unsorted)) (not (= (tptp.hAPP_real_real tptp.cos (tptp.hAPP_real_real tptp.arctan X)) tptp.zero_zero_real))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (= (tptp.hAPP_real_real tptp.sin (tptp.hAPP_real_real _let_1 X)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real tptp.sin X))) (tptp.hAPP_real_real tptp.cos X))))) (forall ((X $$unsorted)) (= (tptp.hAPP_real_real tptp.sgn_sgn_real X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real X) (tptp.hAPP_real_real tptp.abs_abs_real X)))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) tptp.pi)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real tptp.sin X))))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) tptp.pi)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real tptp.sin X))))))) (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) (tptp.hAPP_real_real tptp.sin X)))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) tptp.pi)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.cos X)) (tptp.hAPP_real_real tptp.cos Y))))))) (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real tptp.sin X))) tptp.one_one_real))) (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) (tptp.hAPP_real_real tptp.cos X)))) (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real tptp.cos X))) tptp.one_one_real))) (forall ((X $$unsorted)) (= (tptp.hAPP_real_real tptp.sin (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.pi) X)) (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real tptp.sin X)))) (forall ((X $$unsorted)) (= (tptp.hAPP_real_real tptp.sin (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) tptp.pi)) (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real tptp.sin X)))) (= (tptp.hAPP_real_real tptp.cos tptp.pi) _let_45) (forall ((X $$unsorted)) (= (tptp.hAPP_real_real tptp.cos (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) tptp.pi)) (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real tptp.cos X)))) (forall ((R_2 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (let ((_let_2 (tptp.hAPP_r1250527377l_real tptp.times_times_real R_2))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real _let_2 (tptp.hAPP_real_real tptp.cos A_3))) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real _let_2 (tptp.hAPP_real_real tptp.sin A_3))) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real R_2) _let_1))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real tptp.sin X)) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real tptp.cos X)) _let_1)) tptp.one_one_real))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real tptp.cos X)) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real tptp.sin X)) _let_1)) tptp.one_one_real))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real tptp.sin X)) _let_1) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real tptp.one_one_real) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real tptp.cos X)) _let_1))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real tptp.cos X)) _let_1) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real tptp.one_one_real) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real tptp.sin X)) _let_1))))) (forall ((X $$unsorted)) (= (tptp.hAPP_real_real tptp.cos X) (tptp.hAPP_real_real tptp.sin (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) X)))) (forall ((X $$unsorted)) (= (tptp.hAPP_real_real tptp.sin X) (tptp.hAPP_real_real tptp.cos (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) X)))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.hAPP_real_real tptp.sgn_sgn_real X) tptp.one_one_real))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))) (= (tptp.hAPP_real_real tptp.cos (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real _let_1)) X)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real tptp.cos X)) _let_2)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real tptp.sin X)) _let_2)))))) (forall ((X $$unsorted)) (= (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real tptp.sin X)) (tptp.hAPP_real_real tptp.cos (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) tptp.pi)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.cos X)) (tptp.hAPP_real_real tptp.cos Y))))))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.uminus_uminus_real tptp.pi)) Y)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.cos Y)) (tptp.hAPP_real_real tptp.cos X))))))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (let ((_let_2 (tptp.hAPP_real_real tptp.sin Y))) (let ((_let_3 (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.sin X)))) (let ((_let_4 (tptp.hAPP_real_real tptp.cos Y))) (let ((_let_5 (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.cos X)))) (let ((_let_6 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) Y))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real tptp.sin _let_6)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real _let_3 _let_4)) (tptp.hAPP_real_real _let_5 _let_2)))) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real tptp.cos _let_6)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real _let_5 _let_4)) (tptp.hAPP_real_real _let_3 _let_2)))) _let_1)) tptp.zero_zero_real)))))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (let ((_let_2 (tptp.hAPP_real_real tptp.uminus_uminus_real X))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real tptp.sin _let_2)) (tptp.hAPP_real_real tptp.sin X))) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real tptp.cos _let_2)) (tptp.hAPP_real_real tptp.cos X))) _let_1)) tptp.zero_zero_real)))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) tptp.zero_zero_real)) (= (tptp.hAPP_real_real tptp.sgn_sgn_real X) (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real tptp.sgn_sgn_real X))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)))) (let ((_let_3 (= X tptp.zero_zero_real))) (and (=> _let_3 (= _let_1 tptp.zero_zero_real)) (=> (not _let_3) (and (=> _let_2 (= _let_1 tptp.one_one_real)) (=> (not _let_2) (= _let_1 (tptp.hAPP_real_real tptp.uminus_uminus_real tptp.one_one_real)))))))))) (forall ((A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real tptp.sgn_sgn_real A_3))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) A_3)))) (let ((_let_3 (= A_3 tptp.zero_zero_real))) (and (=> _let_3 (= _let_1 tptp.zero_zero_real)) (=> (not _let_3) (and (=> _let_2 (= _let_1 tptp.one_one_real)) (=> (not _let_2) (= _let_1 (tptp.hAPP_real_real tptp.uminus_uminus_real tptp.one_one_real)))))))))) (not (= _let_75 tptp.zero_zero_real)) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.uminus_uminus_real tptp.pi)) Y)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.cos Y)) (tptp.hAPP_real_real tptp.cos X))))))) (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) Y)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (= (tptp.hAPP_real_real tptp.sin (tptp.hAPP_real_real tptp.arcsin Y)) Y)))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real tptp.sin X))))))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real _let_75) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real _let_75) tptp.zero_zero_real)) (= (tptp.hAPP_real_real tptp.sin _let_74) tptp.zero_zero_real) (forall ((X $$unsorted)) (= (tptp.hAPP_real_real tptp.sin (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) tptp.pi))) (tptp.hAPP_real_real tptp.sin X))) (= (tptp.hAPP_real_real tptp.sin _let_16) tptp.one_one_real) (= (tptp.hAPP_real_real tptp.sin _let_67) _let_35) (= (tptp.hAPP_real_real tptp.cos _let_16) tptp.zero_zero_real) (= (tptp.hAPP_real_real tptp.sin _let_48) _let_72) (= (tptp.hAPP_real_real tptp.sin _let_68) _let_73) (= (tptp.hAPP_real_real tptp.cos _let_74) tptp.one_one_real) (forall ((X $$unsorted)) (= (tptp.hAPP_real_real tptp.cos (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) tptp.pi))) (tptp.hAPP_real_real tptp.cos X))) (= (tptp.hAPP_real_real tptp.cos _let_68) _let_35) (= (tptp.hAPP_real_real tptp.cos _let_67) _let_73) (= (tptp.hAPP_real_real tptp.cos _let_48) _let_72) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real tptp.sin X))))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) _let_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.cos (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real _let_1) X))) tptp.one_one_real)))))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_1)) Y)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) _let_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.sin Y)) (tptp.hAPP_real_real tptp.sin X)))))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real tptp.cos X))))))) (= (tptp.hAPP_real_real tptp.cos _let_70) tptp.zero_zero_real) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real tptp.uminus_uminus_real tptp.pi)) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.sin X)) tptp.zero_zero_real))))) (= (tptp.hAPP_real_real tptp.sin _let_70) _let_59) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_1)) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) _let_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_real_real tptp.cos X))))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_1)) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) _let_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.hAPP_real_real tptp.cos X))))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_1)) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) _let_1)) (= (tptp.hAPP_real_real tptp.arcsin (tptp.hAPP_real_real tptp.sin X)) X))))) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real tptp.arcsin Y))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) Y)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) _let_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real _let_1) tptp.pi)) (= (tptp.hAPP_real_real tptp.sin _let_1) Y)))))) (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) Y)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (exists ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_1)) X_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_1) _let_1)) (= (tptp.hAPP_real_real tptp.sin X_1) Y) (forall ((Y_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (=> (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_1)) Y_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y_1) _let_1)) (= (tptp.hAPP_real_real tptp.sin Y_1) Y)) (= Y_1 X_1)))))))))) (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) Y)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (exists ((X_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_1) tptp.pi)) (= (tptp.hAPP_real_real tptp.cos X_1) Y) (forall ((Y_1 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y_1) tptp.pi)) (= (tptp.hAPP_real_real tptp.cos Y_1) Y)) (= Y_1 X_1)))))))) (exists ((X_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_1) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (tptp.hAPP_real_real tptp.cos X_1) tptp.zero_zero_real) (forall ((Y_1 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y_1) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (tptp.hAPP_real_real tptp.cos Y_1) tptp.zero_zero_real)) (= Y_1 X_1))))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (= (tptp.hAPP_real_real tptp.sin (tptp.hAPP_real_real tptp.arccos X)) (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real tptp.one_one_real) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))))))) (forall ((I $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.sgn_sgn_int I))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) I)))) (let ((_let_3 (= I tptp.zero_zero_int))) (=> (tptp.is_int I) (and (=> _let_3 (= _let_1 tptp.zero_zero_int)) (=> (not _let_3) (and (=> _let_2 (= _let_1 tptp.one_one_int)) (=> (not _let_2) (= _let_1 (tptp.hAPP_int_int tptp.uminus_uminus_int tptp.one_one_int))))))))))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) tptp.pi)) (= (tptp.hAPP_real_real tptp.arccos (tptp.hAPP_real_real tptp.cos X)) X)))) (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real Y)) tptp.one_one_real)) (= (tptp.hAPP_real_real tptp.cos (tptp.hAPP_real_real tptp.arccos Y)) Y))) (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) Y)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_real_real tptp.arccos Y)))))) (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) Y)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (= (tptp.hAPP_real_real tptp.cos (tptp.hAPP_real_real tptp.arccos Y)) Y)))) (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) Y)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.arccos Y)) tptp.pi))))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.uminus_uminus_real tptp.pi)) X)) (= (tptp.hAPP_real_real tptp.arccos (tptp.hAPP_real_real tptp.cos X)) (tptp.hAPP_real_real tptp.uminus_uminus_real X))))) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real tptp.arccos Y))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) Y)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) _let_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real _let_1) tptp.pi))))))) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real tptp.arccos Y))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) Y)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y) tptp.one_one_real)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) _let_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real _let_1) tptp.pi))))))) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real tptp.arccos Y))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) Y)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) _let_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real _let_1) tptp.pi)) (= (tptp.hAPP_real_real tptp.cos _let_1) Y)))))) (forall ((X_3 $$unsorted) (Y_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (let ((_let_2 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real X_3) (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X_3) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y_3) _let_1)))))) (= (tptp.hAPP_real_real tptp.cos (tptp.hAPP_real_real tptp.arccos _let_2)) _let_2)))) (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real Y)) tptp.one_one_real)) (= (tptp.hAPP_real_real tptp.sin (tptp.hAPP_real_real tptp.arccos Y)) (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real tptp.one_one_real) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))))))) (forall ((X_3 $$unsorted) (Y_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (let ((_let_2 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real X_3) (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X_3) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y_3) _let_1)))))) (= (tptp.hAPP_real_real tptp.sin (tptp.hAPP_real_real tptp.arccos _let_2)) (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real tptp.one_one_real) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real _let_2) _let_1))))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (let ((_let_2 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real _let_1) X))) (let ((_let_3 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) _let_1))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_3)) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) _let_3)) (= (tptp.hAPP_real_real tptp.tan X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real tptp.sin _let_2)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real tptp.cos _let_2)) tptp.one_one_real))))))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_real_real tptp.tan X))) (let ((_let_3 (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real _let_1)))) (let ((_let_4 (tptp.hAPP_real_real _let_3 X))) (=> (not (= (tptp.hAPP_real_real tptp.cos X) tptp.zero_zero_real)) (=> (not (= (tptp.hAPP_real_real tptp.cos _let_4) tptp.zero_zero_real)) (= (tptp.hAPP_real_real tptp.tan _let_4) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real _let_3 _let_2)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real tptp.one_one_real) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real _let_2) (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1)))))))))))) (forall ((N $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (= (tptp.hAPP_real_real tptp.sin (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1)) N)))) tptp.pi)) (tptp.hAPP_int_real tptp.number267125858f_real _let_1))) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) N)))) (forall ((X $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (let ((_let_2 (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X))) (= (tptp.hAPP_real_real tptp.cos (tptp.hAPP_real_real _let_2 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.suc M))) tptp.pi)) _let_1))) (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real tptp.sin (tptp.hAPP_real_real _let_2 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat M)) tptp.pi)) _let_1)))))))) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_nat_real tptp.real_nat N)))) (forall ((X $$unsorted)) (= (tptp.hAPP_real_real tptp.tan (tptp.hAPP_real_real tptp.uminus_uminus_real X)) (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real tptp.tan X)))) (forall ((N $$unsorted)) (= (tptp.natceiling (tptp.hAPP_nat_real tptp.real_nat N)) N)) (forall ((Na $$unsorted) (Ma $$unsorted)) (= (= (tptp.hAPP_nat_real tptp.real_nat Na) (tptp.hAPP_nat_real tptp.real_nat Ma)) (= Na Ma))) (= (tptp.hAPP_real_real tptp.tan tptp.zero_zero_real) tptp.zero_zero_real) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_real tptp.real_nat X))) (= (tptp.hAPP_real_real tptp.abs_abs_real _let_1) _let_1))) (forall ((N $$unsorted)) (= (tptp.natfloor (tptp.hAPP_nat_real tptp.real_nat N)) N)) (forall ((Y $$unsorted)) (= (tptp.hAPP_real_real tptp.tan (tptp.hAPP_real_real tptp.arctan Y)) Y)) (forall ((N $$unsorted)) (= (tptp.hAPP_real_real tptp.tan (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat N)) tptp.pi)) tptp.zero_zero_real)) (forall ((X $$unsorted) (N $$unsorted)) (= (tptp.hAPP_real_real tptp.tan (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat N)) tptp.pi))) (tptp.hAPP_real_real tptp.tan X))) _let_69 _let_69 (= (tptp.hAPP_nat_real tptp.real_nat tptp.zero_zero_nat) tptp.zero_zero_real) (forall ((Na $$unsorted)) (= (= (tptp.hAPP_nat_real tptp.real_nat Na) tptp.zero_zero_real) (= Na tptp.zero_zero_nat))) (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real tptp.real_nat N)) tptp.zero_zero_real)))) (forall ((Na $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real tptp.real_nat Na)) (tptp.hAPP_nat_real tptp.real_nat Ma))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) Ma)))) (forall ((Na $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real tptp.real_nat Na)) (tptp.hAPP_nat_real tptp.real_nat Ma))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) Ma)))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) N)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat M)) (tptp.hAPP_nat_real tptp.real_nat N)))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) N)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real tptp.real_nat M)) (tptp.hAPP_nat_real tptp.real_nat N)))) (= (tptp.hAPP_nat_real tptp.real_nat tptp.one_one_nat) tptp.one_one_real) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_nat_real tptp.real_nat M)) N) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat M) N)))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat M) N)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_nat_real tptp.real_nat M)) N))) (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) (tptp.hAPP_nat_real tptp.real_nat (tptp.natceiling X))))) (= (tptp.hAPP_real_real tptp.tan tptp.pi) tptp.zero_zero_real) (forall ((X $$unsorted)) (= (tptp.hAPP_real_real tptp.tan (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) tptp.pi)) (tptp.hAPP_real_real tptp.tan X))) (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real tptp.real_nat Na)) tptp.zero_zero_real)) (= Na tptp.zero_zero_nat))) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.suc N))))) (= (tptp.hAPP_nat_real tptp.real_nat _let_55) tptp.one_one_real) (forall ((N $$unsorted)) (= (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.suc N)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real tptp.real_nat N)) tptp.one_one_real))) (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M)) (= (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_nat_real tptp.real_nat M)) (tptp.hAPP_nat_real tptp.real_nat N))))) (forall ((N $$unsorted) (X $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat N) X))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_nat_real tptp.real_nat N)) (tptp.hAPP_nat_real tptp.real_nat X))))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real tptp.real_nat (tptp.natfloor X))) X)))) (forall ((X $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real tptp.real_nat X)) A_3)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X) (tptp.natfloor A_3))))) (forall ((N $$unsorted) (X $$unsorted)) (= (tptp.hAPP_real_real tptp.exp_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat N)) X)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real tptp.exp_real X)) N))) (forall ((X $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) (tptp.hAPP_nat_real tptp.real_nat A_3))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.natceiling X)) A_3)))) (forall ((N $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.natfloor X))) (=> (= X (tptp.hAPP_nat_real tptp.real_nat _let_1)) (= (tptp.natfloor (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat _let_1) N))))) (forall ((X $$unsorted)) (= (tptp.hAPP_real_real tptp.tan X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real tptp.sin X)) (tptp.hAPP_real_real tptp.cos X)))) (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.hAPP_nat_real tptp.real_nat Na))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)))) (forall ((Na $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) Ma)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real tptp.real_nat Na)) tptp.one_one_real)) (tptp.hAPP_nat_real tptp.real_nat Ma))))) (forall ((Na $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) Ma)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real tptp.real_nat Na)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real tptp.real_nat Ma)) tptp.one_one_real))))) (forall ((N $$unsorted)) (= (tptp.hAPP_real_real tptp.sin (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat N)) tptp.pi)) tptp.zero_zero_real)) (forall ((N $$unsorted)) (= (tptp.hAPP_real_real tptp.sin (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real tptp.pi) (tptp.hAPP_nat_real tptp.real_nat N))) tptp.zero_zero_real)) (forall ((A_1 $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Xa)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_1) (tptp.natfloor Xa))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real tptp.real_nat A_1)) Xa))))) (forall ((A_1 $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Xa)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.natceiling Xa)) A_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) (tptp.hAPP_nat_real tptp.real_nat A_1)))))) (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real tptp.real_nat (tptp.natfloor X))) tptp.one_one_real)))) (forall ((A_3 $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_real tptp.real_nat A_3))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real _let_1) X)) (= (tptp.natfloor (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real X) _let_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.natfloor X)) A_3))))) (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real X) tptp.one_one_real)) (tptp.hAPP_nat_real tptp.real_nat (tptp.natfloor X))))) (forall ((A_3 $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_real tptp.real_nat A_3))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real _let_1) X)) (= (tptp.natceiling (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real X) _let_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.natceiling X)) A_3))))) (forall ((X $$unsorted) (N $$unsorted)) (= (tptp.hAPP_real_real tptp.tan (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real N)) tptp.pi))) (tptp.hAPP_real_real tptp.tan X))) (forall ((N $$unsorted) (D_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) D_3)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat D_3) N)) (= (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat N) D_3)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_nat_real tptp.real_nat N)) (tptp.hAPP_nat_real tptp.real_nat D_3)))))) (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.hAPP_real_real tptp.ln (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) N)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat N)) (tptp.hAPP_real_real tptp.ln X))))) (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) (tptp.hAPP_nat_real tptp.real_nat N))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.natfloor X)) N))))) (forall ((N $$unsorted) (X $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_nat_real tptp.real_nat N)) (tptp.hAPP_nat_real tptp.real_nat X))) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat N) X)))))) (forall ((V_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_int_nat tptp.number_number_of_nat V_1)))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.hAPP_int_int tptp.number_number_of_int V_1))))) (and (=> _let_2 (= _let_1 tptp.zero_zero_real)) (=> (not _let_2) (= _let_1 (tptp.hAPP_int_real tptp.number267125858f_real V_1))))))) (forall ((N $$unsorted) (X $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_nat_real tptp.real_nat N)) (tptp.hAPP_nat_real tptp.real_nat X))) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat N) X)))) tptp.one_one_real))) (forall ((A_3 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.natfloor (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) (tptp.hAPP_nat_real tptp.real_nat A_3))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.natfloor X)) A_3)))) (forall ((Z_1 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.natfloor Z_1)) tptp.one_one_nat)) N)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Z_1) (tptp.hAPP_nat_real tptp.real_nat N))))) (forall ((B_2 $$unsorted) (N $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.log B_2))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.hAPP_real_real _let_1 (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) N)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat N)) (tptp.hAPP_real_real _let_1 X)))))) (forall ((N $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_real tptp.real_nat N))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real _let_1) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real _let_1) tptp.one_one_real))) (= (tptp.natfloor X) N))))) (forall ((A_3 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.natceiling (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) (tptp.hAPP_nat_real tptp.real_nat A_3))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.natceiling X)) A_3)))) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real tptp.real_nat N)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) N)))) (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat N)) X)) tptp.one_one_real)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) tptp.one_one_real)) N))))) (forall ((X $$unsorted) (D_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_real tptp.real_nat D_3))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) D_3)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_nat_real tptp.real_nat X)) _let_1) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat X) D_3))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat (tptp.div_mod_nat X) D_3))) _let_1)))))) (forall ((N $$unsorted)) (= (tptp.hAPP_real_real tptp.cos (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat N)) tptp.pi)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) N))) (forall ((N $$unsorted)) (= (tptp.hAPP_real_real tptp.cos (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real tptp.pi) (tptp.hAPP_nat_real tptp.real_nat N))) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) N))) (= (tptp.hAPP_real_real tptp.tan _let_68) _let_66) (forall ((Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real tptp.cos Y))) (let ((_let_2 (tptp.hAPP_real_real tptp.cos X))) (=> (not (= _let_2 tptp.zero_zero_real)) (=> (not (= _let_1 tptp.zero_zero_real)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real tptp.tan X)) (tptp.hAPP_real_real tptp.tan Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real tptp.sin (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) Y))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real _let_2) _let_1)))))))) (forall ((N $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat N)) (tptp.hAPP_int_real tptp.number267125858f_real _let_1)) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1)) N))))) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.one_one_real) X)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Y)) (= (tptp.natfloor (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real X) (tptp.hAPP_nat_real tptp.real_nat Y))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.natfloor X)) Y))))) (forall ((N $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_real tptp.real_nat N))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real _let_1) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real _let_1) tptp.one_one_real))) (= (tptp.natceiling X) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)))))) (forall ((X $$unsorted)) (= (tptp.hAPP_real_real tptp.tan (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) tptp.pi))) (tptp.hAPP_real_real tptp.tan X))) (= (tptp.hAPP_real_real tptp.tan _let_48) tptp.one_one_real) (forall ((Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real tptp.tan Y))) (let ((_let_2 (tptp.hAPP_real_real tptp.tan X))) (let ((_let_3 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) Y))) (=> (not (= (tptp.hAPP_real_real tptp.cos X) tptp.zero_zero_real)) (=> (not (= (tptp.hAPP_real_real tptp.cos Y) tptp.zero_zero_real)) (=> (not (= (tptp.hAPP_real_real tptp.cos _let_3) tptp.zero_zero_real)) (= (tptp.hAPP_real_real tptp.tan _let_3) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real _let_2) _let_1)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real tptp.one_one_real) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real _let_2) _let_1))))))))))) (forall ((Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real tptp.cos Y))) (let ((_let_2 (tptp.hAPP_real_real tptp.cos X))) (=> (not (= _let_2 tptp.zero_zero_real)) (=> (not (= _let_1 tptp.zero_zero_real)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real tptp.one_one_real) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.tan X)) (tptp.hAPP_real_real tptp.tan Y))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real tptp.cos (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) Y))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real _let_2) _let_1)))))))) (forall ((N $$unsorted)) (= (tptp.hAPP_real_real tptp.sin (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_nat_real tptp.real_nat N))) tptp.pi)) tptp.zero_zero_real)) (forall ((N $$unsorted)) (= (tptp.hAPP_real_real tptp.cos (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_nat_real tptp.real_nat N))) tptp.pi)) tptp.one_one_real)) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real tptp.tan X))))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Ya))) (let ((_let_2 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (let ((_let_3 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_2)))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_3 Ya)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 _let_2)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_3 Xa)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) _let_2)) (= (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Xa)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.tan Ya)) (tptp.hAPP_real_real tptp.tan Xa)))))))))))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_1)) Y)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) _let_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.tan Y)) (tptp.hAPP_real_real tptp.tan X)))))))) (forall ((Y $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.one_one_real) (tptp.hAPP_real_real tptp.tan Y)) (tptp.hAPP_real_real tptp.tan (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) Y)))) (= (tptp.hAPP_real_real tptp.tan _let_67) (tptp.hAPP_real_real _let_34 _let_66)) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real tptp.uminus_uminus_real tptp.pi)) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.tan X)) tptp.zero_zero_real))))) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real tptp.arctan Y))) (let ((_let_2 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_2)) _let_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real _let_1) _let_2)) (= (tptp.hAPP_real_real tptp.tan _let_1) Y))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_1)) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) _let_1)) (= (tptp.hAPP_real_real tptp.arctan (tptp.hAPP_real_real tptp.tan X)) X))))) (forall ((X $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (let ((_let_2 (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X))) (= (tptp.hAPP_real_real tptp.sin (tptp.hAPP_real_real _let_2 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.suc M))) tptp.pi)) _let_1))) (tptp.hAPP_real_real tptp.cos (tptp.hAPP_real_real _let_2 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat M)) tptp.pi)) _let_1))))))) (forall ((M $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (= (tptp.hAPP_real_real tptp.cos (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real tptp.pi) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1)) M))))) (tptp.hAPP_int_real tptp.number267125858f_real _let_1))) tptp.zero_zero_real))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (exists ((Z $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_1)) Z)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Z) _let_1)) (= (tptp.hAPP_real_real tptp.tan Z) X)))))) (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (exists ((X_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_1) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (= (tptp.hAPP_real_real tptp.tan X_1) Y))))) (forall ((Y $$unsorted)) (exists ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_1)) X_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_1) _let_1)) (= (tptp.hAPP_real_real tptp.tan X_1) Y))))) (forall ((Y $$unsorted)) (exists ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_1)) X_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_1) _let_1)) (= (tptp.hAPP_real_real tptp.tan X_1) Y) (forall ((Y_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (=> (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_1)) Y_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y_1) _let_1)) (= (tptp.hAPP_real_real tptp.tan Y_1) Y)) (= Y_1 X_1)))))))) (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (exists ((X_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_1) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y) (tptp.hAPP_real_real tptp.tan X_1))))))) (forall ((R_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) R_2)) (exists ((N_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N_1) tptp.one_one_nat))) R_2)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real R_2) (tptp.hAPP_nat_real tptp.real_nat N_1))))))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (exists ((N_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat N_1)) Y)) X)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.suc N_1))) Y)))))))) (forall ((R_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) R_2)) (exists ((N_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real tptp.real_nat N_1)) R_2)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real R_2) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.suc N_1)))))))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (forall ((Y_1 $$unsorted)) (exists ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y_1) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat N_1)) X))))))) (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat N) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat N)))) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real tptp.zero_zero_real) N)) tptp.zero_zero_real))) (forall ((Xa $$unsorted)) (= (= (tptp.hAPP_real_real tptp.sin Xa) tptp.zero_zero_real) (or (exists ((N_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat N_1)) (= Xa (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat N_1)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))))) (exists ((N_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat N_1)) (= Xa (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat N_1)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))))))))) (forall ((Xa $$unsorted)) (= (= (tptp.hAPP_real_real tptp.cos Xa) tptp.zero_zero_real) (or (exists ((N_1 $$unsorted)) (and (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat N_1))) (= Xa (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat N_1)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))))) (exists ((N_1 $$unsorted)) (and (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat N_1))) (= Xa (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat N_1)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))))))))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ma) Na)))) (not (= (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Ma))) (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Na))))))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ma) Na))) (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Ma)) (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Na))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Ya)))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Xa)))) (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Xa) Ya))) (or (and _let_2 _let_1) (and (not _let_2) (not _let_1))))))) (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat tptp.zero_zero_nat)) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat (tptp.hAPP_nat_nat tptp.suc Xa))) (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Xa))))) (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat tptp.one_one_nat))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Xa) Ya))) (or (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Xa)) (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Ya))))) (forall ((N $$unsorted)) (not (= (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat N)) tptp.zero_zero_real))) (forall ((N $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat N))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Ya)))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Xa)))) (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat Xa) Ya))) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Xa) Ya)) (and _let_2 _let_1) (and (not _let_2) (not _let_1))))))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Xa)) (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int Xa))))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int Xa))) (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Xa)))) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat N))))) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat N))))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Xa)) (exists ((Y_1 $$unsorted)) (= Xa (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) Y_1))))) (forall ((Xa $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Xa))) (exists ((Y_1 $$unsorted)) (= Xa (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) Y_1)))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat X))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat tptp.suc X)) _let_1) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat X) _let_1)))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat X)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat tptp.suc X)) _let_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat X) _let_1))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat X))) (= (tptp.hAPP_nat_nat (tptp.div_mod_nat X) (tptp.hAPP_nat_nat tptp.suc _let_1)) _let_1)))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat X)) (= (tptp.hAPP_nat_nat (tptp.div_mod_nat X) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) tptp.zero_zero_nat))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Xa))) (= (tptp.hAPP_nat_nat (tptp.div_mod_nat Xa) (tptp.hAPP_nat_nat tptp.suc _let_1)) _let_1)))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Xa)) (= (tptp.hAPP_nat_nat (tptp.div_mod_nat Xa) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) tptp.zero_zero_nat))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat Xa) Ya))) (and (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Xa)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Ya))))) (forall ((N $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc M))) (let ((_let_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat _let_1) N))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) _let_1)) (= (tptp.hAPP_nat_nat tptp.fact_fact_nat _let_2) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat _let_2) (tptp.hAPP_nat_nat tptp.fact_fact_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N)))))))) (forall ((Na $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Na)) (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat Na) tptp.one_one_nat))))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat X))) (= (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat _let_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat X) _let_1))) X)))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat X)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat _let_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat X) _let_1)) X)))) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Xa)) (= (tptp.hBOOL (tptp.hAPP_int_bool tptp.even_odd_even_int Xa)) (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat (tptp.hAPP_int_nat tptp.nat Xa)))))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Xa)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) Xa)))) (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Na)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) Na)))) (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Na)) (exists ((M_1 $$unsorted)) (= Na (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) M_1))))) (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Na)) (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat (tptp.hAPP_nat_nat (tptp.div_mod_nat Na) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))))))) (forall ((Na $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Na))) (exists ((M_1 $$unsorted)) (= Na (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) M_1)))))) (forall ((N $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat N)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) _let_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat N) _let_1))))) (forall ((Na $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real (tptp.hAPP_b646336293l_real tptp.if_real (tptp.hAPP_nat_bool tptp.even_odd_even_nat Na)) tptp.zero_zero_real) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat Na) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat Na))))) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real tptp.zero_zero_real) Na)) tptp.zero_zero_real)) (forall ((N $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat N))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) _let_1) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat N) _let_1)))))) (forall ((N $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (=> (= (tptp.hAPP_nat_nat (tptp.div_mod_nat N) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 _let_1))) tptp.one_one_nat) (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))))))) (forall ((N $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit1 tptp.pls))) (let ((_let_2 (tptp.hAPP_int_int tptp.bit0 _let_1))) (=> (= (tptp.hAPP_nat_nat (tptp.div_mod_nat N) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 _let_2))) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit1 _let_1))) (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) (tptp.hAPP_int_nat tptp.number_number_of_nat _let_2))))))))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (= (tptp.hAPP_real_real tptp.sin X) tptp.zero_zero_real) (exists ((N_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat N_1)) (= X (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat N_1)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))))))))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (= (tptp.hAPP_real_real tptp.cos X) tptp.zero_zero_real) (exists ((N_1 $$unsorted)) (and (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat N_1))) (= X (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat N_1)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))))))))) (forall ((N $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat N))) (exists ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat N) (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 _let_1))) X_1)) tptp.one_one_nat)))))) (forall ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_real tptp.sin_coeff X_1))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat X_1)))) (and (=> _let_2 (= _let_1 tptp.zero_zero_real)) (=> (not _let_2) (= _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat X_1) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat X_1))))))))) (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat N)) (exists ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat N) (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 _let_1))) X_1)))))) (forall ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_real tptp.cos_coeff X_1))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat X_1)))) (and (=> _let_2 (= _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat X_1) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat X_1))))) (=> (not _let_2) (= _let_1 tptp.zero_zero_real)))))) (forall ((M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) N))) (let ((_let_2 (tptp.hAPP_nat_nat tptp.fact_fact_nat _let_1))) (let ((_let_3 (= _let_1 tptp.zero_zero_nat))) (and (=> _let_3 (= _let_2 tptp.one_one_nat)) (=> (not _let_3) (= _let_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat _let_1) (tptp.hAPP_nat_nat tptp.fact_fact_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat _let_1) tptp.one_one_nat)))))))))) (forall ((N $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) N))) (let ((_let_2 (tptp.hAPP_nat_nat tptp.fact_fact_nat _let_1))) (let ((_let_3 (= M tptp.zero_zero_nat))) (and (=> _let_3 (= _let_2 (tptp.hAPP_nat_nat tptp.fact_fact_nat N))) (=> (not _let_3) (= _let_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat _let_1) (tptp.hAPP_nat_nat tptp.fact_fact_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat)) N)))))))))) (forall ((N $$unsorted)) (not (= (tptp.hAPP_nat_nat tptp.fact_fact_nat N) tptp.zero_zero_nat))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat M)) (tptp.hAPP_nat_nat tptp.fact_fact_nat N))))) (= (tptp.hAPP_nat_nat tptp.fact_fact_nat tptp.one_one_nat) tptp.one_one_nat) (= (tptp.hAPP_nat_nat tptp.fact_fact_nat tptp.zero_zero_nat) _let_55) (= (tptp.hAPP_nat_nat tptp.fact_fact_nat _let_55) _let_55) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.hAPP_nat_nat tptp.fact_fact_nat N)))) (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat M)) (tptp.hAPP_nat_nat tptp.fact_fact_nat N)))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc X))) (= (tptp.hAPP_nat_nat tptp.fact_fact_nat _let_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat _let_1) (tptp.hAPP_nat_nat tptp.fact_fact_nat X))))) (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat N)) (tptp.hAPP_nat_nat tptp.fact_fact_nat M))))) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.one_one_nat) (tptp.hAPP_nat_nat tptp.fact_fact_nat N)))) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.hAPP_nat_nat tptp.fact_fact_nat N)))) (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.one_one_nat) M)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat M) (tptp.hAPP_nat_nat tptp.fact_fact_nat N)))))) (forall ((N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))) (= (tptp.hAPP_nat_nat tptp.fact_fact_nat _let_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat _let_1) (tptp.hAPP_nat_nat tptp.fact_fact_nat N))))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (= (tptp.hAPP_nat_nat (tptp.div_mod_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat N)) (tptp.hAPP_nat_nat tptp.fact_fact_nat M)) tptp.zero_zero_nat))) (forall ((M $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.fact_fact_nat M))) (let ((_let_2 (= M tptp.zero_zero_nat))) (and (=> _let_2 (= _let_1 tptp.one_one_nat)) (=> (not _let_2) (= _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) (tptp.hAPP_nat_nat tptp.fact_fact_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))) (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.hAPP_nat_nat tptp.fact_fact_nat N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat N) (tptp.hAPP_nat_nat tptp.fact_fact_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)))))) (forall ((N $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_int_real tptp.number267125858f_real _let_1))) (let ((_let_3 (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))) (let ((_let_4 (tptp.hAPP_r474017924t_real tptp.power_power_real X))) (let ((_let_5 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) _let_3))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.inverse_inverse_real (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat _let_5)))) (tptp.hAPP_nat_real _let_4 _let_5))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_nat_real _let_4 _let_3)) _let_2)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.one_one_real) _let_2)) N)))))))))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (let ((_let_2 (tptp.hAPP_real_real tptp.cos X))) (=> (not (= _let_2 tptp.zero_zero_real)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.one_one_real) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real tptp.tan X)) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real tptp.inverse_inverse_real _let_2)) _let_1)))))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y) tptp.zero_zero_real)) (exists ((R_1 $$unsorted) (A_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real R_1))) (and (= X (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real tptp.cos A_2))) (= Y (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real tptp.sin A_2)))))))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (exists ((R_1 $$unsorted) (A_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real R_1))) (and (= X (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real tptp.cos A_2))) (= Y (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real tptp.sin A_2)))))))) (forall ((X $$unsorted)) (= (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real tptp.inverse_inverse_real X)) (tptp.hAPP_real_real tptp.inverse_inverse_real (tptp.hAPP_real_real tptp.sqrt X)))) (= (tptp.hAPP_real_real tptp.inverse_inverse_real tptp.zero_zero_real) tptp.zero_zero_real) (forall ((R $$unsorted) (S_4 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real R) S_4) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real R) (tptp.hAPP_real_real tptp.inverse_inverse_real S_4)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real X) Y) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real X) (tptp.hAPP_real_real tptp.inverse_inverse_real Y)))) (forall ((Y $$unsorted) (U_1 $$unsorted) (X1_1 $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X1_1)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real X1_1) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real X) U_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Y) (tptp.hAPP_real_real tptp.inverse_inverse_real X))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real U_1) (tptp.hAPP_real_real tptp.inverse_inverse_real X1_1))))))))) (forall ((Y $$unsorted) (U_1 $$unsorted) (X1_1 $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X1_1)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real X1_1) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real X) U_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.inverse_inverse_real X)) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.inverse_inverse_real X1_1)) U_1)))))))) (forall ((X $$unsorted)) (=> (not (= X tptp.zero_zero_real)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.inverse_inverse_real X)) X) tptp.one_one_real))) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_real_real tptp.inverse_inverse_real (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat N)))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real tptp.sqrt X))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real _let_1) X) (tptp.hAPP_real_real tptp.inverse_inverse_real _let_1))))) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.hAPP_real_real tptp.inverse_inverse_real (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat N)))))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.hAPP_real_real tptp.ln (tptp.hAPP_real_real tptp.inverse_inverse_real X)) (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real tptp.ln X))))) (forall ((X $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.log A_3))) (let ((_let_2 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_2 A_3)) (=> (not (= A_3 tptp.one_one_real)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_2 X)) (= (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real tptp.inverse_inverse_real X)) (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real _let_1 X))))))))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real tptp.inverse_inverse_real (tptp.hAPP_real_real tptp.sqrt X))) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_real_real tptp.inverse_inverse_real X)))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (exists ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.inverse_inverse_real (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.suc N_1)))) X))))) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) Xa)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real tptp.arccos Xa) (tptp.hAPP_real_real tptp.inverse_inverse_real (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real tptp.one_one_real) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Xa) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))))))))))) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) Xa)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real tptp.arcsin Xa) (tptp.hAPP_real_real tptp.inverse_inverse_real (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real tptp.one_one_real) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Xa) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))))))))) (forall ((Xa $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real tptp.sin Xa) (tptp.hAPP_real_real tptp.cos Xa)))) (forall ((Xa $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real tptp.cos Xa) (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real tptp.sin Xa))))) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Xa)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real tptp.ln Xa) (tptp.hAPP_real_real tptp.inverse_inverse_real Xa))))) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Xa)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real tptp.ln Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.one_one_real) Xa))))) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Xa)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real tptp.sqrt Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real tptp.inverse_inverse_real (tptp.hAPP_real_real tptp.sqrt Xa))) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real tptp.cos Xa))) (=> (not (= _let_1 tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real tptp.tan Xa) (tptp.hAPP_real_real tptp.inverse_inverse_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real _let_1) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))))))) (forall ((Xa $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real tptp.arctan Xa) (tptp.hAPP_real_real tptp.inverse_inverse_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.one_one_real) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Xa) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))))))) (forall ((D $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (let ((_let_2 (tptp.hAPP_real_real tptp.inverse_inverse_real (tptp.hAPP_real_real tptp.sqrt Xa)))) (=> (not (= Xa tptp.zero_zero_real)) (=> (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Xa)) (= D (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real _let_2) _let_1))) (=> (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) tptp.zero_zero_real)) (= D (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_2)) _let_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real tptp.sqrt Xa) D)))))))) (forall ((Va $$unsorted) (K $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (not (= A_1 B_1)) (=> (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real Va X_1) K))) (= (tptp.hAPP_real_real Va (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_1) B_1)) _let_1)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real Va A_1)) (tptp.hAPP_real_real Va B_1))) _let_1)))))) (forall ((D_1 $$unsorted) (F $$unsorted) (Xa $$unsorted) (L $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real F Xa) L)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) D_1)) (=> (forall ((Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real Xa) Y_1))) D_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real F Y_1)) (tptp.hAPP_real_real F Xa))))) (= L tptp.zero_zero_real))))) (forall ((D_1 $$unsorted) (F $$unsorted) (Xa $$unsorted) (L $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real F Xa) L)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) D_1)) (=> (forall ((Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real Xa) Y_1))) D_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real F Xa)) (tptp.hAPP_real_real F Y_1))))) (= L tptp.zero_zero_real))))) (forall ((D_1 $$unsorted) (F $$unsorted) (Xa $$unsorted) (L $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real F Xa) L)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) D_1)) (=> (forall ((Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real Xa) Y_1))) D_1)) (= (tptp.hAPP_real_real F Xa) (tptp.hAPP_real_real F Y_1)))) (= L tptp.zero_zero_real))))) (forall ((F $$unsorted) (Xa $$unsorted) (L $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real F Xa) L)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real L) tptp.zero_zero_real)) (exists ((D_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) D_2)) (forall ((H_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) H_1)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real H_1) D_2)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real F Xa)) (tptp.hAPP_real_real F (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real Xa) H_1)))))))))))) (forall ((F $$unsorted) (Xa $$unsorted) (L $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real F Xa) L)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) L)) (exists ((D_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) D_2)) (forall ((H_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) H_1)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real H_1) D_2)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real F (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real Xa) H_1))) (tptp.hAPP_real_real F Xa))))))))))) (forall ((F $$unsorted) (Xa $$unsorted) (L $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real F Xa) L)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real L) tptp.zero_zero_real)) (exists ((D_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) D_2)) (forall ((H_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) H_1)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real H_1) D_2)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real F (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real Xa) H_1))) (tptp.hAPP_real_real F Xa))))))))))) (forall ((F $$unsorted) (Xa $$unsorted) (L $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real F Xa) L)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) L)) (exists ((D_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) D_2)) (forall ((H_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) H_1)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real H_1) D_2)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real F Xa)) (tptp.hAPP_real_real F (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real Xa) H_1)))))))))))) (forall ((F $$unsorted) (K $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (not (= A_1 B_1)) (=> (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real F X_1) K))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real F B_1)) (tptp.hAPP_real_real F A_1))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real B_1) A_1)) K)))) (forall ((F $$unsorted) (K $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (not (= A_1 B_1)) (=> (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real F X_1) K))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real F B_1)) (tptp.hAPP_real_real F A_1)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real B_1) A_1)) K))))) (forall ((D $$unsorted) (Xa $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_n546711566l_real tptp.root Na))) (let ((_let_2 (tptp.hAPP_real_real tptp.inverse_inverse_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat Na)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real _let_1 Xa)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat Na) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))))))) (let ((_let_3 (= D _let_2))) (let ((_let_4 (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Na)))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (=> (not (= Xa tptp.zero_zero_real)) (=> (=> _let_4 (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Xa)) _let_3)) (=> (=> _let_4 (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) tptp.zero_zero_real)) (= D (tptp.hAPP_real_real tptp.uminus_uminus_real _let_2)))) (=> (=> (not _let_4) _let_3) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real _let_1 Xa) D)))))))))))) (forall ((Xa $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_n546711566l_real tptp.root Na))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Na)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real _let_1 Xa) (tptp.hAPP_real_real tptp.inverse_inverse_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_nat_real tptp.real_nat Na))) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real _let_1 Xa)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat Na) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))))))))))) (forall ((Xa $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_n546711566l_real tptp.root Na))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Xa)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real _let_1 Xa) (tptp.hAPP_real_real tptp.inverse_inverse_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat Na)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real _let_1 Xa)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat Na) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))))))))))) (forall ((F $$unsorted) (F_1 $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_1) B_1)) (=> (forall ((X_1 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) X_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_1) B_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real F X_1) (tptp.hAPP_real_real F_1 X_1))))) (exists ((Z $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_1) Z)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Z) B_1)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real F B_1)) (tptp.hAPP_real_real F A_1)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real B_1) A_1)) (tptp.hAPP_real_real F_1 Z)))))))) (forall ((N $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root N) tptp.zero_zero_real) tptp.zero_zero_real)) (forall ((X $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) X) X)) (forall ((Xa $$unsorted) (Ya $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_n546711566l_real tptp.root Na))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (= (= (tptp.hAPP_real_real _let_1 Xa) (tptp.hAPP_real_real _let_1 Ya)) (= Xa Ya))))) (forall ((X $$unsorted) (N $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_n546711566l_real tptp.root M))) (let ((_let_2 (tptp.hAPP_n546711566l_real tptp.root N))) (let ((_let_3 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_3 M)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_3 N)) (= (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real _let_2 X)) (tptp.hAPP_real_real _let_2 (tptp.hAPP_real_real _let_1 X))))))))) (forall ((Y $$unsorted) (X $$unsorted) (N $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat N))) (=> (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y) N) X) (= (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root N) X) Y)))) (forall ((X $$unsorted) (N $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat N))) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root N) X)) N) X))) (forall ((X $$unsorted) (N $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat N))) (= (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root N) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) N)) X))) (forall ((Xa $$unsorted) (Ya $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_n546711566l_real tptp.root Na))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real _let_1 Xa)) (tptp.hAPP_real_real _let_1 Ya))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) Ya)))))) (forall ((X $$unsorted) (Y $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n546711566l_real tptp.root N))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) Y)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real _let_1 X)) (tptp.hAPP_real_real _let_1 Y))))))) (forall ((Xa $$unsorted) (Na $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (= (= (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root Na) Xa) tptp.zero_zero_real) (= Xa tptp.zero_zero_real)))) (forall ((Xa $$unsorted) (Ya $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_n546711566l_real tptp.root Na))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real _let_1 Xa)) (tptp.hAPP_real_real _let_1 Ya))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) Ya)))))) (forall ((X $$unsorted) (Y $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n546711566l_real tptp.root N))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) Y)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real _let_1 X)) (tptp.hAPP_real_real _let_1 Y))))))) (forall ((X $$unsorted) (Y $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n546711566l_real tptp.root N))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real _let_1 X)) (tptp.hAPP_real_real _let_1 Y)))))) (forall ((X $$unsorted) (N $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N)) (= (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) N)) X) (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root M) (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root N) X))))))) (forall ((X $$unsorted) (K_2 $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n546711566l_real tptp.root N))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.hAPP_real_real _let_1 (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) K_2)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real _let_1 X)) K_2))))) (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root N) tptp.one_one_real) tptp.one_one_real))) (forall ((Xa $$unsorted) (Na $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (= (= (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root Na) Xa) tptp.one_one_real) (= Xa tptp.one_one_real)))) (forall ((X $$unsorted) (Y $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n546711566l_real tptp.root N))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real _let_1 X)) (tptp.hAPP_real_real _let_1 Y)))))) (forall ((X $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n546711566l_real tptp.root N))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real tptp.uminus_uminus_real X)) (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real _let_1 X)))))) (forall ((X $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n546711566l_real tptp.root N))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real tptp.abs_abs_real X)) (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real _let_1 X)))))) (forall ((X $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n546711566l_real tptp.root N))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real tptp.inverse_inverse_real X)) (tptp.hAPP_real_real tptp.inverse_inverse_real (tptp.hAPP_real_real _let_1 X)))))) (forall ((Ya $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (= (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root Na) Ya))) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Ya)))))) (forall ((Xa $$unsorted) (Na $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root Na) Xa)) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) tptp.zero_zero_real))))) (forall ((X $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root N) X))))))) (forall ((Ya $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (= (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root Na) Ya))) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Ya)))))) (forall ((Xa $$unsorted) (Na $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root Na) Xa)) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) tptp.zero_zero_real))))) (forall ((X $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root N) X))))))) (forall ((Ya $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.one_one_real))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (= (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root Na) Ya))) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Ya)))))) (forall ((Xa $$unsorted) (Na $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root Na) Xa)) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) tptp.one_one_real))))) (forall ((X $$unsorted) (N_4 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) N_4)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.one_one_real) X)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root N_4) X)) (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root N) X))))))) (forall ((Ya $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (= (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root Na) Ya))) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Ya)))))) (forall ((Xa $$unsorted) (Na $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root Na) Xa)) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) tptp.one_one_real))))) (forall ((X $$unsorted) (N_4 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) N_4)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real) X)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root N_4) X)) (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root N) X))))))) (forall ((N $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc N))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root _let_1) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) _let_1)) X)))) (forall ((X_3 $$unsorted) (N_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_5)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X_3)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root N_5) X_3)))))) (forall ((Y $$unsorted) (X $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n546711566l_real tptp.root N))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) Y)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real _let_1 X)) (tptp.hAPP_real_real _let_1 Y)))))))) (forall ((Y $$unsorted) (X $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n546711566l_real tptp.root N))) (let ((_let_2 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_2 X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_2 Y)) (= (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real _let_1 X)) (tptp.hAPP_real_real _let_1 Y))))))))) (forall ((X $$unsorted) (N $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) N)) X) (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root M) (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root N) X)))))))) (forall ((X $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root N) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) N)) X)))) (forall ((X $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root N) X)) N) X)))) (forall ((X $$unsorted) (Y $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y) N) X) (= (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root N) X) Y))))) (forall ((X $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root N) X)) N) X)))) (forall ((X $$unsorted) (N_4 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) N_4)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root N) X)) (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root N_4) X)))))))) (forall ((X $$unsorted) (N_4 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) N_4)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root N) X)) (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root N_4) X)))))))) _let_64 (forall ((X $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n546711566l_real tptp.root N))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real tptp.inverse_inverse_real X)) (tptp.hAPP_real_real tptp.inverse_inverse_real (tptp.hAPP_real_real _let_1 X))))))) (forall ((Xa $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_n546711566l_real tptp.root Na))) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat Na))) (=> (not (= Xa tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real _let_1 Xa) (tptp.hAPP_real_real tptp.inverse_inverse_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat Na)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real _let_1 Xa)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat Na) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))))))))))) (forall ((Xa $$unsorted) (Ya $$unsorted) (F $$unsorted)) (=> (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real F X_1) tptp.zero_zero_real))) (= (tptp.hAPP_real_real F Xa) (tptp.hAPP_real_real F Ya)))) (forall ((X $$unsorted)) (exists ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) (tptp.hAPP_nat_real tptp.real_nat N_1))))) (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_5)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.comple219730294t_bool (tptp.setS A_1 P_5)))))) (forall ((I_1 $$unsorted) (J $$unsorted) (F $$unsorted)) (=> (forall ((I_2 $$unsorted) (J_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I_2) J_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat F I_2)) (tptp.hAPP_nat_nat F J_1))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_1) J)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat F I_1)) (tptp.hAPP_nat_nat F J)))))) (forall ((N $$unsorted) (M_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc N)) M_4)) (exists ((M_1 $$unsorted)) (= M_4 (tptp.hAPP_nat_nat tptp.suc M_1))))) (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.hAPP_i1948725293t_bool (tptp.wset A_1) P_5)))) (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.hAPP_i1948725293t_bool tptp.d22set A_1)))) (forall ((A_1 $$unsorted) (P_5 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f628503027l_bool tptp.member_fun_int_bool X_1) (tptp.setS A_1 P_5))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int X_1)))) (forall ((P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_5)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.hAPP_i1948725293t_bool tptp.sRStar P_5))))) (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_5)) (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool (tptp.setS A_1 P_5))))) (forall ((I $$unsorted) (K_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc I)) K_2)) (not (forall ((J_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) J_1)) (not (= K_2 (tptp.hAPP_nat_nat tptp.suc J_1)))))))) (forall ((I $$unsorted) (K_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) K_2)) (=> (not (= K_2 (tptp.hAPP_nat_nat tptp.suc I))) (not (forall ((J_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat I) J_1)) (not (= K_2 (tptp.hAPP_nat_nat tptp.suc J_1))))))))) (forall ((D2 $$unsorted) (D1 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 D1)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 D2)) (exists ((E $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real E))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) E)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 D1)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 D2))))))))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (tptp.hAPP_complex_real tptp.norm_norm_complex (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex X) Y)) (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y) _let_1)))))) (forall ((P_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool P_1 tptp.zero_zero_nat))) (=> (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 X1))) (exists ((N_1 $$unsorted)) (and (not (tptp.hBOOL (tptp.hAPP_nat_bool P_1 N_1))) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 (tptp.hAPP_nat_nat tptp.suc N_1)))))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex A_1) B_1) tptp.zero_zero_complex) (and (= A_1 tptp.zero_zero_real) (= B_1 tptp.zero_zero_real)))) (= tptp.zero_zero_complex (tptp.hAPP_real_complex _let_62 tptp.zero_zero_real)) (forall ((Real1_2 $$unsorted) (Real2_2 $$unsorted) (Real1_1 $$unsorted) (Real2_1 $$unsorted)) (= (= (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex Real1_2) Real2_2) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex Real1_1) Real2_1)) (and (= Real1_2 Real1_1) (= Real2_2 Real2_1)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (Wa $$unsorted)) (= (= (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex A_1) B_1) (tptp.hAPP_int_complex tptp.number528085621omplex Wa)) (and (= A_1 (tptp.hAPP_int_real tptp.number267125858f_real Wa)) (= B_1 tptp.zero_zero_real)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex A_1) B_1) tptp.one_one_complex) (and (= A_1 tptp.one_one_real) (= B_1 tptp.zero_zero_real)))) (= tptp.one_one_complex (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex tptp.one_one_real) tptp.zero_zero_real)) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (C_1 $$unsorted) (D_3 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex A_3) B_2)) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex C_1) D_3)) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_3) C_1)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real B_2) D_3)))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP_complex_complex tptp.uminus473333897omplex (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex A_3) B_2)) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex (tptp.hAPP_real_real tptp.uminus_uminus_real A_3)) (tptp.hAPP_real_real tptp.uminus_uminus_real B_2)))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (C_1 $$unsorted) (D_3 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex A_3) B_2)) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex C_1) D_3)) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real A_3) C_1)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real B_2) D_3)))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (C_1 $$unsorted) (D_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real B_2))) (let ((_let_2 (tptp.hAPP_r1250527377l_real tptp.times_times_real A_3))) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex A_3) B_2)) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex C_1) D_3)) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real _let_2 C_1)) (tptp.hAPP_real_real _let_1 D_3))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real _let_2 D_3)) (tptp.hAPP_real_real _let_1 C_1))))))) (forall ((A_3 $$unsorted)) (= (tptp.hAPP_complex_real tptp.norm_norm_complex (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex (tptp.hAPP_real_real tptp.cos A_3)) (tptp.hAPP_real_real tptp.sin A_3))) tptp.one_one_real)) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (let ((_let_2 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real A_3) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real B_2) _let_1)))) (= (tptp.hAPP_complex_complex tptp.invers1449016382omplex (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex A_3) B_2)) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real A_3) _let_2)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real tptp.uminus_uminus_real B_2)) _let_2)))))) (forall ((Real1 $$unsorted) (Real2 $$unsorted)) (= (tptp.complex_size (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex Real1) Real2)) tptp.zero_zero_nat)) (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (= (tptp.hAPP_real_real tptp.cos (tptp.arg (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex tptp.zero_zero_real) Y))) tptp.zero_zero_real))) (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y) tptp.zero_zero_real)) (= (tptp.hAPP_real_real tptp.cos (tptp.arg (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex tptp.zero_zero_real) Y))) tptp.zero_zero_real))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.invers1025623611omplex X) Y) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex X) (tptp.hAPP_complex_complex tptp.invers1449016382omplex Y)))) (forall ((Y $$unsorted)) (=> (not (= Y tptp.zero_zero_real)) (= (tptp.hAPP_real_real tptp.cos (tptp.arg (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex tptp.zero_zero_real) Y))) tptp.zero_zero_real))) (forall ((Real1 $$unsorted) (Real2 $$unsorted)) (= (tptp.hAPP_complex_nat tptp.size_size_complex (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex Real1) Real2)) tptp.zero_zero_nat)) (= (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex tptp.ii) _let_3) _let_61) (not (= tptp.ii tptp.zero_zero_complex)) (not (= tptp.ii tptp.one_one_complex)) (forall ((W $$unsorted)) (not (= tptp.ii (tptp.hAPP_int_complex tptp.number528085621omplex W)))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_c172932010omplex tptp.times_times_complex tptp.ii))) (= (tptp.hAPP_complex_complex _let_1 (tptp.hAPP_complex_complex _let_1 X)) (tptp.hAPP_complex_complex tptp.uminus473333897omplex X)))) (= (tptp.hAPP_complex_complex tptp.invers1449016382omplex tptp.ii) _let_56) _let_63 (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (= (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex Xa) Ya) tptp.ii) (and (= Xa tptp.zero_zero_real) (= Ya tptp.one_one_real)))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex A_3) B_2)) tptp.ii) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex (tptp.hAPP_real_real tptp.uminus_uminus_real B_2)) A_3))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex tptp.ii) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex A_3) B_2)) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex (tptp.hAPP_real_real tptp.uminus_uminus_real B_2)) A_3))) (= _let_60 _let_61) (= _let_60 _let_58) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (let ((_let_2 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Y) _let_1)))) (let ((_let_3 (tptp.hAPP_c172932010omplex tptp.times_times_complex tptp.ii))) (= (tptp.hAPP_complex_complex tptp.invers1449016382omplex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.of_real_complex X)) (tptp.hAPP_complex_complex _let_3 (tptp.of_real_complex Y)))) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex (tptp.of_real_complex (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real X) _let_2))) (tptp.hAPP_complex_complex _let_3 (tptp.of_real_complex (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real Y) _let_2))))))))) (forall ((N $$unsorted)) (=> (not (= N tptp.zero_zero_nat)) (exists ((M_1 $$unsorted)) (= N (tptp.hAPP_nat_nat tptp.suc M_1))))) (forall ((Xa $$unsorted) (Ya $$unsorted) (Xaa $$unsorted)) (= (= (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex Xa) Ya) (tptp.of_real_complex Xaa)) (and (= Xa Xaa) (= Ya tptp.zero_zero_real)))) (forall ((R_2 $$unsorted)) (= (tptp.of_real_complex R_2) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex R_2) tptp.zero_zero_real))) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP_complex_complex tptp.sgn_sgn_complex Z_1) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.invers1025623611omplex Z_1) (tptp.of_real_complex (tptp.hAPP_complex_real tptp.norm_norm_complex Z_1))))) (forall ((R_2 $$unsorted) (X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real R_2))) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.of_real_complex R_2)) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex X) Y)) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex (tptp.hAPP_real_real _let_1 X)) (tptp.hAPP_real_real _let_1 Y))))) (forall ((X $$unsorted) (Y $$unsorted) (R_2 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex X) Y)) (tptp.of_real_complex R_2)) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real X) R_2)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Y) R_2)))) (forall ((X $$unsorted) (Y $$unsorted) (R_2 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex X) Y)) (tptp.of_real_complex R_2)) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) R_2)) Y))) (forall ((R_2 $$unsorted) (X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.of_real_complex R_2)) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex X) Y)) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real R_2) X)) Y))) (= _let_60 (tptp.of_real_complex _let_45)) (forall ((R_2 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex tptp.ii) (tptp.of_real_complex R_2)) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex tptp.zero_zero_real) R_2))) (forall ((R_2 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.of_real_complex R_2)) tptp.ii) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex tptp.zero_zero_real) R_2))) (= (tptp.of_real_complex _let_59) _let_58) (forall ((R_2 $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP_complex_real tptp.norm_norm_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.of_real_complex R_2)) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex (tptp.hAPP_real_real tptp.cos A_3)) (tptp.hAPP_real_real tptp.sin A_3)))) (tptp.hAPP_real_real tptp.abs_abs_real R_2))) (= (tptp.expi (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex _let_57) (tptp.of_real_complex tptp.pi))) tptp.ii)) tptp.one_one_complex) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.expi (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex A_3) B_2)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.expi A_3)) (tptp.expi B_2)))) (= (tptp.expi tptp.zero_zero_complex) tptp.one_one_complex) (forall ((Z_1 $$unsorted)) (exists ((R_1 $$unsorted) (A_2 $$unsorted)) (= Z_1 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.of_real_complex R_1)) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex (tptp.hAPP_real_real tptp.cos A_2)) (tptp.hAPP_real_real tptp.sin A_2)))))) (forall ((Na $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool P_1 tptp.zero_zero_nat)) (=> (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool P_1 N_1)) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 (tptp.hAPP_nat_nat tptp.suc N_1))))) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 Na))))) (forall ((Y $$unsorted)) (=> (not (= Y tptp.zero_zero_nat)) (not (forall ((Nat_1 $$unsorted)) (not (= Y (tptp.hAPP_nat_nat tptp.suc Nat_1))))))) (forall ((P_1 $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool P_1 K)) (=> (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool P_1 (tptp.hAPP_nat_nat tptp.suc N_1))) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 N_1)))) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 tptp.zero_zero_nat))))) (forall ((F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_1) B_1)) (=> (forall ((X_1 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) X_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_1) B_1))) (exists ((Y_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real F X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y_1) tptp.zero_zero_real)))))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real F B_1)) (tptp.hAPP_real_real F A_1)))))) (forall ((F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_1) B_1)) (=> (forall ((X_1 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) X_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_1) B_1))) (exists ((Y_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real F X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Y_1)))))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real F A_1)) (tptp.hAPP_real_real F B_1)))))) (forall ((I_1 $$unsorted) (P_1 $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool P_1 K)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.is_int I_2) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K) I_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool P_1 I_2)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int I_2) tptp.one_one_int))))))) (=> (forall ((I_2 $$unsorted)) (=> (tptp.is_int I_2) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int I_2) K)) (=> (tptp.hBOOL (tptp.hAPP_int_bool P_1 I_2)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int I_2) tptp.one_one_int))))))) (tptp.hBOOL (tptp.hAPP_int_bool P_1 I_1)))))) (forall ((P_1 $$unsorted) (P1 $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D_1)) (=> (forall ((X_1 $$unsorted) (K_1 $$unsorted)) (=> (and (tptp.is_int X_1) (tptp.is_int K_1)) (= (tptp.hBOOL (tptp.hAPP_int_bool P1 X_1)) (tptp.hBOOL (tptp.hAPP_int_bool P1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K_1) D_1))))))) (=> (exists ((Z $$unsorted)) (forall ((X_1 $$unsorted)) (=> (tptp.is_int X_1) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_1) Z)) (= (tptp.hBOOL (tptp.hAPP_int_bool P_1 X_1)) (tptp.hBOOL (tptp.hAPP_int_bool P1 X_1))))))) (=> (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool P1 X1))) (exists ((X1 $$unsorted)) (and (tptp.is_int X1) (tptp.hBOOL (tptp.hAPP_int_bool P_1 X1))))))))) (forall ((P_1 $$unsorted) (P_2 $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D_1)) (=> (forall ((X_1 $$unsorted) (K_1 $$unsorted)) (=> (and (tptp.is_int X_1) (tptp.is_int K_1)) (= (tptp.hBOOL (tptp.hAPP_int_bool P_2 X_1)) (tptp.hBOOL (tptp.hAPP_int_bool P_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K_1) D_1))))))) (=> (exists ((Z $$unsorted)) (forall ((X_1 $$unsorted)) (=> (tptp.is_int X_1) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Z) X_1)) (= (tptp.hBOOL (tptp.hAPP_int_bool P_1 X_1)) (tptp.hBOOL (tptp.hAPP_int_bool P_2 X_1))))))) (=> (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool P_2 X1))) (exists ((X1 $$unsorted)) (and (tptp.is_int X1) (tptp.hBOOL (tptp.hAPP_int_bool P_1 X1))))))))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime X) Y)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat X) Y)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat X) _let_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat Y) _let_1))))))) (forall ((N $$unsorted) (D_3 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.coprime D_3))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_3)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_3) N)))))) (forall ((N $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime A_3) B_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_3) N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat B_2) N))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime A_1) B_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime B_1) A_1)))) (forall ((E_1 $$unsorted) (B_2 $$unsorted) (D_3 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat D_3) A_3)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat E_1) B_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime A_3) B_2)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime D_3) E_1)))))) (forall ((D_3 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.coprime D_3))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_3) B_2))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_2))))) (forall ((D_3 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.coprime D_3))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_3) B_2))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_3))))) (forall ((B_2 $$unsorted) (D_3 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.coprime D_3))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_3)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_2)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_3) B_2))))))) (forall ((D_1 $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.coprime D_1))) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_1) B_1))) (and (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_1)))))) (forall ((A_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime tptp.one_one_nat) A_3))) (forall ((A_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime A_3) tptp.one_one_nat))) (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime Na) Na)) (= Na tptp.one_one_nat))) (forall ((N $$unsorted)) (= (tptp.archim1246769320r_real (tptp.hAPP_nat_real tptp.real_nat N)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int N))) (forall ((X $$unsorted)) (= (tptp.natfloor X) (tptp.hAPP_int_nat tptp.nat (tptp.archim1246769320r_real X)))) (forall ((A_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime A_3) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (forall ((A_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) A_3))) (forall ((D_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime D_1) tptp.zero_zero_nat)) (= D_1 tptp.one_one_nat))) (forall ((D_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime tptp.zero_zero_nat) D_1)) (= D_1 tptp.one_one_nat))) (forall ((N $$unsorted) (M $$unsorted) (R_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat M) R_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat N) R_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) N)) R_2)))))) (forall ((D_3 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat D_3))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_3) B_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime D_3) A_3)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_2)))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime A_1) B_1)) (forall ((D_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat D_2))) (= (and (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_1))) (= D_2 tptp.one_one_nat)))))) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) N))) (forall ((A_1 $$unsorted) (Na $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc Na))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_1) _let_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat B_1) _let_1))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime A_1) B_1))))) (forall ((N $$unsorted)) (=> (not (= N tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) N)))) (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real tptp.real_nat N)) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.suc N)))) (= (tptp.hAPP_int_nat tptp.nat (tptp.archim1246769320r_real X)) N)))) (forall ((N $$unsorted)) (= (tptp.archim1246769320r_real (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_nat_real tptp.real_nat N))) (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int N)))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_3)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 B_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.archim1246769320r_real A_3)) (tptp.archim1246769320r_real B_2))) (tptp.archim1246769320r_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_3) B_2)))))))) (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real tptp.real_nat N)) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.suc N)))) (= (tptp.hAPP_int_nat tptp.nat (tptp.archim1246769320r_real X)) N)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime A_1) B_1)) (exists ((X_1 $$unsorted) (Y_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_1))) (let ((_let_2 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_1))) (or (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat _let_1 X_1)) (tptp.hAPP_nat_nat _let_2 Y_1)) tptp.one_one_nat) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat _let_2 X_1)) (tptp.hAPP_nat_nat _let_1 Y_1)) tptp.one_one_nat))))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime A_3) B_2)) (=> (not (= B_2 tptp.one_one_nat)) (exists ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_3) X_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_2) Y_1)) tptp.one_one_nat)))))) (forall ((V_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_int_nat tptp.number_number_of_nat V_1)) tptp.one_one_nat))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int V_1) tptp.pls)))) (and (=> _let_2 (= _let_1 tptp.zero_zero_nat)) (=> (not _let_2) (= _let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.pred V_1)))))))) (forall ((X $$unsorted)) (=> (tptp.is_int X) (= (tptp.hAPP_int_int tptp.succ (tptp.hAPP_int_int tptp.pred X)) X))) (forall ((K_2 $$unsorted)) (= (tptp.hAPP_int_int tptp.pred (tptp.hAPP_int_int tptp.bit0 K_2)) (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.pred K_2)))) (forall ((K_2 $$unsorted)) (= (tptp.hAPP_int_int tptp.pred (tptp.hAPP_int_int tptp.bit1 K_2)) (tptp.hAPP_int_int tptp.bit0 K_2))) (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int K) L)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.pred K)) L)))) (= (tptp.hAPP_int_int tptp.pred tptp.pls) tptp.min) (= (tptp.hAPP_int_int tptp.pred tptp.min) (tptp.hAPP_int_int tptp.bit0 tptp.min)) (forall ((K_2 $$unsorted)) (= (tptp.hAPP_int_int tptp.pred K_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int K_2) tptp.one_one_int))) (forall ((K_2 $$unsorted)) (= (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_int_int tptp.bit1 K_2)) (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.pred (tptp.hAPP_int_int tptp.uminus_uminus_int K_2))))) (forall ((K_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int K_2) tptp.min) (tptp.hAPP_int_int tptp.pred K_2))) (forall ((K_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int tptp.min) K_2) (tptp.hAPP_int_int tptp.pred K_2))) (forall ((K_2 $$unsorted) (L_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int tptp.bit0 K_2)) (tptp.hAPP_int_int tptp.bit1 L_2)) (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int tptp.pred K_2)) L_2)))) (forall ((Va $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.pred Va)))) (= (tptp.hAPP_int_nat tptp.number_number_of_nat Va) tptp.zero_zero_nat))) (forall ((M $$unsorted) (V_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.pls) V_1)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc M)) (tptp.hAPP_int_nat tptp.number_number_of_nat V_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.pred V_1)))))) (forall ((Z_1 $$unsorted)) (exists ((A_2 $$unsorted) (R_1 $$unsorted)) (= Z_1 (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.of_real_complex R_1)) (tptp.expi A_2))))) (forall ((X_2 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) Ma)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.resSet Ma) X_2)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int X_2))))) (forall ((Ma $$unsorted) (X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.resSet Ma) X_2)) (forall ((Y1 $$unsorted) (Y2 $$unsorted)) (=> (and (tptp.is_int Y1) (tptp.is_int Y2)) (=> (and (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Y1) X_2)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Y2) X_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong Y1) Y2) Ma))) (= Y1 Y2)))))) (forall ((P_5 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.resSet P_5) (tptp.hAPP_i1948725293t_bool tptp.sRStar P_5)))) (forall ((Nat $$unsorted)) (= (tptp.hAPP_nat_nat tptp.nat_size (tptp.hAPP_nat_nat tptp.suc Nat)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat tptp.nat_size Nat)) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (forall ((Nat $$unsorted)) (= (tptp.hAPP_nat_nat tptp.size_size_nat (tptp.hAPP_nat_nat tptp.suc Nat)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat tptp.size_size_nat Nat)) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (= (tptp.code_c271388182l_size tptp.zero_z126310315umeral) tptp.zero_zero_nat) (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat tptp.size_size_nat N) N)) (= (tptp.hAPP_nat_nat tptp.size_size_nat tptp.zero_zero_nat) tptp.zero_zero_nat) (= (tptp.hAPP_nat_nat tptp.nat_size tptp.zero_zero_nat) tptp.zero_zero_nat) (forall ((Code_numeral_1 $$unsorted)) (= (tptp.code_c271388182l_size (tptp.code_S1047413653umeral Code_numeral_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.code_c271388182l_size Code_numeral_1)) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP_complex_real tptp.norm_norm_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex Z_1) (tptp.hAPP_complex_complex tptp.cnj Z_1))) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_complex_real tptp.norm_norm_complex Z_1)) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.of_real_complex X))) (= (tptp.hAPP_complex_complex tptp.cnj _let_1) _let_1))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_complex_complex tptp.cnj (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.invers1025623611omplex X) Y)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.invers1025623611omplex (tptp.hAPP_complex_complex tptp.cnj X)) (tptp.hAPP_complex_complex tptp.cnj Y)))) (forall ((X $$unsorted) (N $$unsorted)) (= (tptp.hAPP_complex_complex tptp.cnj (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex X) N)) (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex (tptp.hAPP_complex_complex tptp.cnj X)) N))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_complex_complex tptp.cnj (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex X) Y)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex (tptp.hAPP_complex_complex tptp.cnj X)) (tptp.hAPP_complex_complex tptp.cnj Y)))) (forall ((X $$unsorted)) (= (tptp.hAPP_complex_complex tptp.cnj (tptp.hAPP_complex_complex tptp.uminus473333897omplex X)) (tptp.hAPP_complex_complex tptp.uminus473333897omplex (tptp.hAPP_complex_complex tptp.cnj X)))) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP_complex_complex tptp.cnj (tptp.hAPP_complex_complex tptp.cnj Z_1)) Z_1)) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (= (tptp.hAPP_complex_complex tptp.cnj Xa) (tptp.hAPP_complex_complex tptp.cnj Ya)) (= Xa Ya))) (forall ((Code_numeral_5 $$unsorted) (Code_numeral_4 $$unsorted)) (= (= (tptp.code_S1047413653umeral Code_numeral_5) (tptp.code_S1047413653umeral Code_numeral_4)) (= Code_numeral_5 Code_numeral_4))) (forall ((N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_complex tptp.semiri2020571505omplex N))) (= (tptp.hAPP_complex_complex tptp.cnj _let_1) _let_1))) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP_complex_real tptp.norm_norm_complex (tptp.hAPP_complex_complex tptp.cnj Z_1)) (tptp.hAPP_complex_real tptp.norm_norm_complex Z_1))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_complex_complex tptp.cnj (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex X) Y)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex (tptp.hAPP_complex_complex tptp.cnj X)) (tptp.hAPP_complex_complex tptp.cnj Y)))) (forall ((X $$unsorted)) (= (tptp.hAPP_complex_complex tptp.cnj (tptp.hAPP_complex_complex tptp.invers1449016382omplex X)) (tptp.hAPP_complex_complex tptp.invers1449016382omplex (tptp.hAPP_complex_complex tptp.cnj X)))) (= (tptp.hAPP_complex_complex tptp.cnj tptp.zero_zero_complex) tptp.zero_zero_complex) (forall ((Z_2 $$unsorted)) (= (= (tptp.hAPP_complex_complex tptp.cnj Z_2) tptp.zero_zero_complex) (= Z_2 tptp.zero_zero_complex))) (forall ((W $$unsorted)) (let ((_let_1 (tptp.hAPP_int_complex tptp.number528085621omplex W))) (= (tptp.hAPP_complex_complex tptp.cnj _let_1) _let_1))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_complex_complex tptp.cnj (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex X) Y)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.hAPP_complex_complex tptp.cnj X)) (tptp.hAPP_complex_complex tptp.cnj Y)))) (= (tptp.hAPP_complex_complex tptp.cnj tptp.one_one_complex) tptp.one_one_complex) (forall ((Code_numeral_3 $$unsorted)) (not (= (tptp.code_S1047413653umeral Code_numeral_3) tptp.zero_z126310315umeral))) (forall ((Code_numeral_2 $$unsorted)) (not (= tptp.zero_z126310315umeral (tptp.code_S1047413653umeral Code_numeral_2)))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_r265291036omplex tptp.complex A_3))) (= (tptp.hAPP_complex_complex tptp.cnj (tptp.hAPP_real_complex _let_1 B_2)) (tptp.hAPP_real_complex _let_1 (tptp.hAPP_real_real tptp.uminus_uminus_real B_2))))) (= (tptp.hAPP_complex_complex tptp.cnj tptp.ii) _let_56) (forall ((N $$unsorted)) (= (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.minus_1690775515umeral (tptp.code_S1047413653umeral N)) tptp.one_on1645066479umeral) N)) (exists ((K_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) K_4)) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_complex_real tptp.norm_norm_complex (tptp.hAPP_complex_complex tptp.cnj X_1))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_complex_real tptp.norm_norm_complex X_1)) K_4)))))) (exists ((K_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) K_4)) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_complex_real tptp.norm_norm_complex (tptp.hAPP_complex_complex tptp.cnj X_1))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_complex_real tptp.norm_norm_complex X_1)) K_4)))))) (exists ((K_4 $$unsorted)) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_complex_real tptp.norm_norm_complex (tptp.hAPP_complex_complex tptp.cnj X_1))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_complex_real tptp.norm_norm_complex X_1)) K_4))))) (forall ((Code_numeral_1 $$unsorted)) (= (tptp.hAPP_C2129356693al_nat tptp.size_s945831648umeral (tptp.code_S1047413653umeral Code_numeral_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_C2129356693al_nat tptp.size_s945831648umeral Code_numeral_1)) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex Z_1) (tptp.hAPP_complex_complex tptp.cnj Z_1)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.of_real_complex (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_complex_real tptp.im Z_1)))) tptp.ii))) (forall ((Y $$unsorted)) (=> (not (= Y tptp.zero_z126310315umeral)) (not (forall ((Code_numeral $$unsorted)) (not (= Y (tptp.code_S1047413653umeral Code_numeral))))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_complex_real tptp.im (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex X) Y)) Y)) (forall ((X $$unsorted)) (= (tptp.hAPP_complex_real tptp.im (tptp.hAPP_complex_complex tptp.cnj X)) (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_complex_real tptp.im X)))) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP_complex_real tptp.im (tptp.of_real_complex Z_1)) tptp.zero_zero_real)) (= (tptp.hAPP_complex_real tptp.im tptp.ii) tptp.one_one_real) (= (tptp.hAPP_complex_real tptp.im tptp.zero_zero_complex) tptp.zero_zero_real) (= (tptp.hAPP_complex_real tptp.im tptp.one_one_complex) tptp.zero_zero_real) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_complex_real tptp.im (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_complex_real tptp.im X)) (tptp.hAPP_complex_real tptp.im Y)))) (forall ((V_1 $$unsorted)) (= (tptp.hAPP_complex_real tptp.im (tptp.hAPP_int_complex tptp.number528085621omplex V_1)) tptp.zero_zero_real)) (forall ((X $$unsorted)) (= (tptp.hAPP_complex_real tptp.im (tptp.hAPP_complex_complex tptp.uminus473333897omplex X)) (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_complex_real tptp.im X)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_complex_real tptp.im (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_complex_real tptp.im X)) (tptp.hAPP_complex_real tptp.im Y)))) (forall ((N $$unsorted)) (= (tptp.hAPP_complex_real tptp.im (tptp.hAPP_nat_complex tptp.semiri2020571505omplex N)) tptp.zero_zero_real)) (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_complex_real tptp.im X))) (tptp.hAPP_complex_real tptp.norm_norm_complex X)))) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP_complex_real tptp.im (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex Z_1) (tptp.hAPP_complex_complex tptp.cnj Z_1))) tptp.zero_zero_real)) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP_complex_real tptp.im (tptp.hAPP_complex_complex tptp.sgn_sgn_complex Z_1)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_complex_real tptp.im Z_1)) (tptp.hAPP_complex_real tptp.norm_norm_complex Z_1)))) (= (tptp.hAPP_C2129356693al_nat tptp.size_s945831648umeral tptp.zero_z126310315umeral) tptp.zero_zero_nat) (exists ((K_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) K_4)) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.norm_norm_real (tptp.hAPP_complex_real tptp.im X_1))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_complex_real tptp.norm_norm_complex X_1)) K_4)))))) (exists ((K_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) K_4)) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.norm_norm_real (tptp.hAPP_complex_real tptp.im X_1))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_complex_real tptp.norm_norm_complex X_1)) K_4)))))) (exists ((K_4 $$unsorted)) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.norm_norm_real (tptp.hAPP_complex_real tptp.im X_1))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_complex_real tptp.norm_norm_complex X_1)) K_4))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (let ((_let_2 (tptp.hAPP_complex_real tptp.im X))) (let ((_let_3 (tptp.hAPP_complex_real tptp.re X))) (let ((_let_4 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real _let_3) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real _let_2) _let_1)))) (= (tptp.hAPP_complex_complex tptp.invers1449016382omplex X) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real _let_3) _let_4)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_2)) _let_4)))))))) (forall ((Z_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex Z_1) (tptp.hAPP_complex_complex tptp.cnj Z_1)) (tptp.of_real_complex (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_complex_real tptp.re Z_1)) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_complex_real tptp.im Z_1)) _let_1)))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (let ((_let_2 (tptp.hAPP_complex_real tptp.im X))) (= (tptp.hAPP_complex_real tptp.im (tptp.hAPP_complex_complex tptp.invers1449016382omplex X)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_2)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_complex_real tptp.re X)) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real _let_2) _let_1))))))) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP_complex_real tptp.re (tptp.of_real_complex Z_1)) Z_1)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_complex_real tptp.re (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex X) Y)) X)) (forall ((X $$unsorted)) (= (tptp.hAPP_complex_real tptp.re (tptp.hAPP_complex_complex tptp.cnj X)) (tptp.hAPP_complex_real tptp.re X))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (= (tptp.hAPP_complex_real tptp.re X) (tptp.hAPP_complex_real tptp.re Y)) (=> (= (tptp.hAPP_complex_real tptp.im X) (tptp.hAPP_complex_real tptp.im Y)) (= X Y)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (= Xa Ya) (and (= (tptp.hAPP_complex_real tptp.re Xa) (tptp.hAPP_complex_real tptp.re Ya)) (= (tptp.hAPP_complex_real tptp.im Xa) (tptp.hAPP_complex_real tptp.im Ya))))) (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_complex_real tptp.re X)) (tptp.hAPP_complex_real tptp.norm_norm_complex X)))) (= (tptp.hAPP_complex_real tptp.re tptp.ii) tptp.zero_zero_real) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex (tptp.hAPP_complex_real tptp.re Z_1)) (tptp.hAPP_complex_real tptp.im Z_1)) Z_1)) (= (tptp.hAPP_complex_real tptp.re tptp.zero_zero_complex) tptp.zero_zero_real) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_complex_real tptp.re (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_complex_real tptp.re X)) (tptp.hAPP_complex_real tptp.re Y)))) (= (tptp.hAPP_complex_real tptp.re tptp.one_one_complex) tptp.one_one_real) (forall ((X $$unsorted)) (= (tptp.hAPP_complex_real tptp.re (tptp.hAPP_complex_complex tptp.uminus473333897omplex X)) (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_complex_real tptp.re X)))) (forall ((V_1 $$unsorted)) (= (tptp.hAPP_complex_real tptp.re (tptp.hAPP_int_complex tptp.number528085621omplex V_1)) (tptp.hAPP_int_real tptp.number267125858f_real V_1))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_complex_real tptp.re (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_complex_real tptp.re X)) (tptp.hAPP_complex_real tptp.re Y)))) (forall ((N $$unsorted)) (= (tptp.hAPP_complex_real tptp.re (tptp.hAPP_nat_complex tptp.semiri2020571505omplex N)) (tptp.hAPP_nat_real tptp.semiri132038758t_real N))) (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_complex_real tptp.re X))) (tptp.hAPP_complex_real tptp.norm_norm_complex X)))) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP_complex_real tptp.re (tptp.hAPP_complex_complex tptp.sgn_sgn_complex Z_1)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_complex_real tptp.re Z_1)) (tptp.hAPP_complex_real tptp.norm_norm_complex Z_1)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_complex_real tptp.im (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_complex_real tptp.re X)) (tptp.hAPP_complex_real tptp.im Y))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_complex_real tptp.im X)) (tptp.hAPP_complex_real tptp.re Y))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_complex_real tptp.re (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_complex_real tptp.re X)) (tptp.hAPP_complex_real tptp.re Y))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_complex_real tptp.im X)) (tptp.hAPP_complex_real tptp.im Y))))) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP_complex_complex tptp.cnj Z_1) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex (tptp.hAPP_complex_real tptp.re Z_1)) (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_complex_real tptp.im Z_1))))) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP_complex_real tptp.norm_norm_complex Z_1) (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_complex_real tptp.re (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex Z_1) (tptp.hAPP_complex_complex tptp.cnj Z_1)))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex X) Y) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_complex_real tptp.re X)) (tptp.hAPP_complex_real tptp.re Y))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_complex_real tptp.im X)) (tptp.hAPP_complex_real tptp.im Y))))) (forall ((X $$unsorted)) (= (tptp.hAPP_complex_complex tptp.uminus473333897omplex X) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_complex_real tptp.re X))) (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_complex_real tptp.im X))))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_complex_real tptp.re Y))) (let ((_let_2 (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_complex_real tptp.im X)))) (let ((_let_3 (tptp.hAPP_complex_real tptp.im Y))) (let ((_let_4 (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_complex_real tptp.re X)))) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex X) Y) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real _let_4 _let_1)) (tptp.hAPP_real_real _let_2 _let_3))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real _let_4 _let_3)) (tptp.hAPP_real_real _let_2 _let_1))))))))) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.plus_plus_complex Z_1) (tptp.hAPP_complex_complex tptp.cnj Z_1)) (tptp.of_real_complex (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_complex_real tptp.re Z_1))))) (forall ((Z_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (tptp.hAPP_complex_real tptp.norm_norm_complex Z_1) (tptp.hAPP_real_real tptp.sqrt (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_complex_real tptp.re Z_1)) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_complex_real tptp.im Z_1)) _let_1)))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (let ((_let_2 (tptp.hAPP_complex_real tptp.re X))) (= (tptp.hAPP_complex_real tptp.re (tptp.hAPP_complex_complex tptp.invers1449016382omplex X)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real _let_2) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real _let_2) _let_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_complex_real tptp.im X)) _let_1))))))) (exists ((K_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) K_4)) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.norm_norm_real (tptp.hAPP_complex_real tptp.re X_1))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_complex_real tptp.norm_norm_complex X_1)) K_4)))))) (exists ((K_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) K_4)) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.norm_norm_real (tptp.hAPP_complex_real tptp.re X_1))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_complex_real tptp.norm_norm_complex X_1)) K_4)))))) (exists ((K_4 $$unsorted)) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.norm_norm_real (tptp.hAPP_complex_real tptp.re X_1))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_complex_real tptp.norm_norm_complex X_1)) K_4))))) (forall ((Z_1 $$unsorted)) (= (tptp.expi Z_1) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.of_real_complex (tptp.hAPP_real_real tptp.exp_real (tptp.hAPP_complex_real tptp.re Z_1)))) (tptp.cis (tptp.hAPP_complex_real tptp.im Z_1))))) (forall ((N $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP_real_real tptp.sin (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat N)) A_3)) (tptp.hAPP_complex_real tptp.im (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex (tptp.cis A_3)) N)))) (forall ((N $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP_real_real tptp.cos (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat N)) A_3)) (tptp.hAPP_complex_real tptp.re (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex (tptp.cis A_3)) N)))) (forall ((A_3 $$unsorted)) (= (tptp.hAPP_complex_real tptp.re (tptp.cis A_3)) (tptp.hAPP_real_real tptp.cos A_3))) (forall ((A_3 $$unsorted)) (= (tptp.hAPP_complex_real tptp.im (tptp.cis A_3)) (tptp.hAPP_real_real tptp.sin A_3))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.cis A_3)) (tptp.cis B_2)) (tptp.cis (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_3) B_2)))) (= (tptp.cis tptp.zero_zero_real) tptp.one_one_complex) (forall ((A_3 $$unsorted)) (= (tptp.hAPP_complex_complex tptp.invers1449016382omplex (tptp.cis A_3)) (tptp.cis (tptp.hAPP_real_real tptp.uminus_uminus_real A_3)))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.invers1025623611omplex (tptp.cis A_3)) (tptp.cis B_2)) (tptp.cis (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real A_3) B_2)))) (forall ((A_3 $$unsorted)) (= (tptp.cis A_3) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex (tptp.hAPP_real_real tptp.cos A_3)) (tptp.hAPP_real_real tptp.sin A_3)))) (forall ((A_3 $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex (tptp.cis A_3)) N) (tptp.cis (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat N)) A_3)))) (forall ((N $$unsorted) (A_3 $$unsorted)) (= (tptp.cis (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.suc N))) A_3)) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.cis A_3)) (tptp.cis (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat N)) A_3))))) (forall ((X $$unsorted)) (= (tptp.bezw X tptp.zero_zero_nat) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int tptp.one_one_int) tptp.zero_zero_int))) (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Y) Z_1)))))) (forall ((Y $$unsorted) (X $$unsorted) (Z_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Z_1)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Y) Z_1)))))) (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Y) Z_1)))))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X) Y)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X) Y)))) (forall ((Y $$unsorted) (X $$unsorted) (Z_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Z_1)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Y) Z_1)))))) (forall ((M $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat P_3))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_3)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat M) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M)))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.uminus_uminus_int B_2))) (let ((_let_2 (tptp.hAPP_int_int tptp.uminus_uminus_int A_3))) (let ((_let_3 (tptp.divmod_int A_3 B_2))) (let ((_let_4 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_2)))) (let ((_let_5 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (let ((_let_6 (tptp.hBOOL (tptp.hAPP_int_bool _let_5 A_3)))) (let ((_let_7 (= A_3 tptp.zero_zero_int))) (let ((_let_8 (tptp.hBOOL (tptp.hAPP_int_bool _let_5 B_2)))) (=> (tptp.is_int A_3) (and (=> _let_6 (and (=> _let_8 (= _let_3 (tptp.posDivAlg A_3 B_2))) (=> (not _let_8) (and (=> _let_7 (= _let_3 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int tptp.zero_zero_int) tptp.zero_zero_int))) (=> (not _let_7) (= _let_3 (tptp.hAPP_P1975530577nt_int tptp.negateSnd (tptp.negDivAlg _let_2 _let_1)))))))) (=> (not _let_6) (and (=> _let_4 (= _let_3 (tptp.negDivAlg A_3 B_2))) (=> (not _let_4) (= _let_3 (tptp.hAPP_P1975530577nt_int tptp.negateSnd (tptp.posDivAlg _let_2 _let_1))))))))))))))))) (forall ((Q_1 $$unsorted) (P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_3)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime Q_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat P_3) Q_1)) (= P_3 Q_1))))) (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime tptp.one_one_nat))) (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime tptp.zero_zero_nat))) (forall ((Q_1 $$unsorted) (P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_3)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime Q_1)) (=> (not (= P_3 Q_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime P_3) Q_1)))))) (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime _let_55))) (forall ((P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_3)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) P_3)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (P_5 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat P_5))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_5)) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_1) B_1))) (or (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_1))))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat P_3))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_3)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_3) B_2))) (or (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_3)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_2))))))) (forall ((M $$unsorted) (N $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat P_3))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_3)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) N))) (or (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N))))))) (forall ((P_3 $$unsorted) (Q_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat P_3) Q_1))) (or (= P_3 tptp.one_one_nat) (= Q_1 tptp.one_one_nat)))) (forall ((A_3 $$unsorted) (N $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat P_3))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_3)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_3) N))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_3)))))) (forall ((X $$unsorted) (N $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat X) N))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_3)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat P_3) _let_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat P_3) N)) _let_1)))))) (forall ((X $$unsorted) (N $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat P_3))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_3)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat X) N))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 X)))))) (forall ((P_5 $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat P_5) Na))) (and (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_5)) (= Na tptp.one_one_nat)))) (forall ((A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime A_3)) (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime (tptp.hAPP_nat_int tptp.semiri1621563631at_int A_3))))) (forall ((P_3 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat P_3))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime A_3) B_2)) (not (and (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_3)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_3)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_2))))))) (forall ((N $$unsorted) (P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_3)) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat P_3) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime P_3) N))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime A_1) B_1)) (forall ((P_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat P_4))) (not (and (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_4)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_1)))))))) (forall ((P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_3)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) P_3)))) (forall ((P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_3)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat P_3) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))))) (forall ((M $$unsorted) (N $$unsorted) (P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_3)) (=> (not (= N tptp.zero_zero_nat)) (=> (= N (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat P_3) M)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)))))) (forall ((P_5 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_5)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.one_one_nat) P_5)) (forall ((M_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat M_1) P_5)) (or (= M_1 tptp.one_one_nat) (= M_1 P_5))))))) (forall ((D_1 $$unsorted) (K $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_5)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat D_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat P_5) K))) (exists ((I_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat I_2) K)) (= D_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat P_5) I_2))))))) (forall ((N $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat P_3) N)))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_3)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat P_3) B_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_3) B_2))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_3))))))) (forall ((X $$unsorted) (P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_3)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) X)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X) P_3)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime X) P_3)))))) (forall ((N $$unsorted) (P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_3)) (or (= N tptp.one_one_nat) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat P_3) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime P_3) N))))) (forall ((Q_1 $$unsorted) (R_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int Q_1))) (= (tptp.hAPP_P1975530577nt_int tptp.negateSnd (tptp.hAPP_i1524277240nt_int _let_1 R_2)) (tptp.hAPP_i1524277240nt_int _let_1 (tptp.hAPP_int_int tptp.uminus_uminus_int R_2))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (Qr_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.divmod_int_rel (tptp.hAPP_int_int tptp.uminus_uminus_int A_3) (tptp.hAPP_int_int tptp.uminus_uminus_int B_2)) Qr_1)) (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.divmod_int_rel A_3 B_2) (tptp.hAPP_P1975530577nt_int tptp.negateSnd Qr_1))))) (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime _let_3)) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.is_int B_2) (=> (not (= B_2 tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.divmod_int_rel A_3 B_2) (tptp.divmod_int A_3 B_2)))))) (forall ((M $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat P_3))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_3)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat M) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M)))))) (forall ((N $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted) (P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat P_3) N)))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_3)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime A_3) B_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_3) B_2))) (or (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_3)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_2)))))))) (forall ((P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_3)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_3)))) (forall ((P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_3)) (or (= P_3 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.even_odd_even_nat P_3)))))) (forall ((P_3 $$unsorted) (Q_1 $$unsorted)) (= (tptp.divmod_int P_3 Q_1) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int P_3) Q_1)) (tptp.hAPP_int_int (tptp.div_mod_int P_3) Q_1)))) (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.code_d418564891umeral N M) (tptp.hAPP_C2132160860umeral (tptp.hAPP_C1614127039umeral tptp.produc2136830103umeral (tptp.hAPP_C498520661umeral (tptp.hAPP_C1594335432umeral tptp.div_di1218280263umeral N) M)) (tptp.hAPP_C498520661umeral (tptp.div_mo1740067990umeral N) M)))) (forall ((M $$unsorted) (R_2 $$unsorted) (S_1 $$unsorted) (T_1 $$unsorted) (N $$unsorted)) (=> (tptp.is_int R_2) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) N)) (=> (= (tptp.xzgcd M N) (tptp.hAPP_P408881810nt_int (tptp.hAPP_i1730167831nt_int tptp.produc282740534nt_int R_2) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int S_1) T_1))) (= R_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int S_1) M)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int T_1) N))))))) (forall ((M $$unsorted) (N $$unsorted) (R_4 $$unsorted) (S_3 $$unsorted) (S_1 $$unsorted) (T_2 $$unsorted) (T_1 $$unsorted) (R_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int R_4) R_2)))) (let ((_let_2 (tptp.xzgcda M N R_4 R_2 S_3 S_1 T_2 T_1))) (let ((_let_3 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int R_2) tptp.zero_zero_int)))) (and (=> _let_3 (= _let_2 (tptp.hAPP_P408881810nt_int (tptp.hAPP_i1730167831nt_int tptp.produc282740534nt_int R_4) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int S_3) T_2)))) (=> (not _let_3) (= _let_2 (tptp.xzgcda M N R_2 (tptp.hAPP_int_int (tptp.div_mod_int R_4) R_2) S_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int S_3) (tptp.hAPP_int_int _let_1 S_1)) T_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int T_2) (tptp.hAPP_int_int _let_1 T_1)))))))))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.xzgcd M N) (tptp.xzgcda M N M N tptp.one_one_int tptp.zero_zero_int tptp.zero_zero_int tptp.one_one_int))) (forall ((M $$unsorted) (N $$unsorted) (R_4 $$unsorted) (S_3 $$unsorted) (S_1 $$unsorted) (T_2 $$unsorted) (T_1 $$unsorted) (Rn $$unsorted) (Sn_1 $$unsorted) (Tn_1 $$unsorted) (R_2 $$unsorted)) (=> (tptp.is_int Rn) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) R_2)) (=> (= (tptp.xzgcda M N R_4 R_2 S_3 S_1 T_2 T_1) (tptp.hAPP_P408881810nt_int (tptp.hAPP_i1730167831nt_int tptp.produc282740534nt_int Rn) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int Sn_1) Tn_1))) (=> (= R_4 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int S_3) M)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int T_2) N))) (=> (= R_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int S_1) M)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int T_1) N))) (= Rn (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Sn_1) M)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Tn_1) N))))))))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime X) Y))) (exists ((P_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat P_4))) (and (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_4)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 X)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y))))))) (forall ((X $$unsorted) (K_2 $$unsorted) (N $$unsorted) (P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_3)) (=> (not (= N tptp.zero_zero_nat)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat X) N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat P_3) K_2)) (exists ((I_2 $$unsorted)) (= X (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat P_3) I_2))))))) (forall ((N $$unsorted)) (=> (not (= N tptp.one_one_nat)) (exists ((P_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_4)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat P_4) N)))))) (forall ((M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M)) (= (tptp.divmod_nat M N) (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat _let_1) N))) (tptp.hAPP_nat_nat (tptp.div_mod_nat _let_1) N))))))) (forall ((A_3 $$unsorted) (P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_3)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat P_3) A_3))) (exists ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_3) X_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat P_3) Y_1)) tptp.one_one_nat)))))) (forall ((N $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (not (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime N)))) (exists ((M_1 $$unsorted) (K_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (and (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M_1)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 K_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat K_1) N)) (= N (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M_1) K_1))))))) (forall ((M $$unsorted)) (= (tptp.divmod_nat M tptp.zero_zero_nat) (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat tptp.zero_zero_nat) M))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M) N)) (= (tptp.divmod_nat M N) (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat tptp.zero_zero_nat) M)))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.divmod_nat M N) (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat M) N)) (tptp.hAPP_nat_nat (tptp.div_mod_nat M) N)))) (forall ((C_1 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted) (Q_1 $$unsorted) (R_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_2))) (let ((_let_2 (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_P1555980039t_bool (tptp.divmod_nat_rel A_3 B_2) (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat Q_1) R_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 B_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 C_1)) (tptp.hBOOL (tptp.hAPP_P1555980039t_bool (tptp.divmod_nat_rel A_3 (tptp.hAPP_nat_nat _let_1 C_1)) (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat Q_1) C_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.div_mod_nat Q_1) C_1))) R_2)))))))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (C_1 $$unsorted) (Q_1 $$unsorted) (R_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_3))) (let ((_let_2 (tptp.hAPP_nat_nat _let_1 R_2))) (=> (tptp.hBOOL (tptp.hAPP_P1555980039t_bool (tptp.divmod_nat_rel B_2 C_1) (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat Q_1) R_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) C_1)) (tptp.hBOOL (tptp.hAPP_P1555980039t_bool (tptp.divmod_nat_rel (tptp.hAPP_nat_nat _let_1 B_2) C_1) (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat _let_1 Q_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat _let_2) C_1))) (tptp.hAPP_nat_nat (tptp.div_mod_nat _let_2) C_1))))))))) (forall ((B_2 $$unsorted) (Bq $$unsorted) (Br $$unsorted) (A_3 $$unsorted) (C_1 $$unsorted) (Aq $$unsorted) (Ar $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ar) Br))) (=> (tptp.hBOOL (tptp.hAPP_P1555980039t_bool (tptp.divmod_nat_rel A_3 C_1) (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat Aq) Ar))) (=> (tptp.hBOOL (tptp.hAPP_P1555980039t_bool (tptp.divmod_nat_rel B_2 C_1) (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat Bq) Br))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) C_1)) (tptp.hBOOL (tptp.hAPP_P1555980039t_bool (tptp.divmod_nat_rel (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_3) B_2) C_1) (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Aq) Bq)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat _let_1) C_1))) (tptp.hAPP_nat_nat (tptp.div_mod_nat _let_1) C_1))))))))) (forall ((Qr_2 $$unsorted) (M $$unsorted) (N $$unsorted) (Qr_1 $$unsorted)) (let ((_let_1 (tptp.divmod_nat_rel M N))) (=> (tptp.hBOOL (tptp.hAPP_P1555980039t_bool _let_1 Qr_1)) (=> (tptp.hBOOL (tptp.hAPP_P1555980039t_bool _let_1 Qr_2)) (= Qr_1 Qr_2))))) (forall ((M $$unsorted) (N $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1555980039t_bool (tptp.divmod_nat_rel M N) (tptp.divmod_nat M N)))) (forall ((M $$unsorted) (N $$unsorted) (Qr_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1555980039t_bool (tptp.divmod_nat_rel M N) Qr_1)) (= (tptp.divmod_nat M N) Qr_1))) (forall ((M $$unsorted) (N $$unsorted) (Q_1 $$unsorted) (R_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1555980039t_bool (tptp.divmod_nat_rel M N) (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat Q_1) R_2))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat M) N) Q_1))) (forall ((M $$unsorted) (N $$unsorted) (Q_1 $$unsorted) (R_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1555980039t_bool (tptp.divmod_nat_rel M N) (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat Q_1) R_2))) (= (tptp.hAPP_nat_nat (tptp.div_mod_nat M) N) R_2))) (forall ((M $$unsorted) (N $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1555980039t_bool (tptp.divmod_nat_rel M N) (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat M) N)) (tptp.hAPP_nat_nat (tptp.div_mod_nat M) N))))) (forall ((M $$unsorted) (N $$unsorted)) (not (forall ((Q_4 $$unsorted) (R_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP_P1555980039t_bool (tptp.divmod_nat_rel M N) (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat Q_4) R_1))))))) (forall ((N $$unsorted)) (exists ((P_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_4)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) P_4))))) (forall ((W $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int W))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int _let_1) tptp.zero_zero_int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int tptp.one_one_int) _let_1) (tptp.hAPP_P1175774780nt_int tptp.product_fst_int_int (tptp.hAPP_P1975530577nt_int tptp.negateSnd (tptp.negDivAlg (tptp.hAPP_int_int tptp.uminus_uminus_int tptp.one_one_int) (tptp.hAPP_int_int tptp.uminus_uminus_int _let_1)))))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) B_2) (tptp.hAPP_P1175774780nt_int tptp.product_fst_int_int (tptp.divmod_int A_3 B_2)))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_3) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_2)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) B_2) (tptp.hAPP_P1175774780nt_int tptp.product_fst_int_int (tptp.negDivAlg A_3 B_2)))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) B_2)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) B_2) (tptp.hAPP_P1175774780nt_int tptp.product_fst_int_int (tptp.posDivAlg A_3 B_2)))))) (forall ((W $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int W))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) _let_1)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int tptp.one_one_int) _let_1) (tptp.hAPP_P1175774780nt_int tptp.product_fst_int_int (tptp.posDivAlg tptp.one_one_int _let_1)))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_2) tptp.zero_zero_int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) B_2) (tptp.hAPP_P1175774780nt_int tptp.product_fst_int_int (tptp.hAPP_P1975530577nt_int tptp.negateSnd (tptp.negDivAlg (tptp.hAPP_int_int tptp.uminus_uminus_int A_3) (tptp.hAPP_int_int tptp.uminus_uminus_int B_2)))))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_3) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_2) tptp.zero_zero_int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) B_2) (tptp.hAPP_P1175774780nt_int tptp.product_fst_int_int (tptp.hAPP_P1975530577nt_int tptp.negateSnd (tptp.posDivAlg (tptp.hAPP_int_int tptp.uminus_uminus_int A_3) (tptp.hAPP_int_int tptp.uminus_uminus_int B_2)))))))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.bezw Y (tptp.hAPP_nat_nat (tptp.div_mod_nat X) Y)))) (let ((_let_2 (tptp.hAPP_P1175774780nt_int tptp.product_snd_int_int _let_1))) (let ((_let_3 (tptp.bezw X Y))) (let ((_let_4 (= Y tptp.zero_zero_nat))) (and (=> _let_4 (= _let_3 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int tptp.one_one_int) tptp.zero_zero_int))) (=> (not _let_4) (= _let_3 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int _let_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_P1175774780nt_int tptp.product_fst_int_int _let_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int _let_2) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat X) Y))))))))))))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.bezw Y (tptp.hAPP_nat_nat (tptp.div_mod_nat X) Y)))) (let ((_let_2 (tptp.hAPP_P1175774780nt_int tptp.product_snd_int_int _let_1))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Y)) (= (tptp.bezw X Y) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int _let_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_P1175774780nt_int tptp.product_fst_int_int _let_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int _let_2) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat X) Y)))))))))) (forall ((W $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int W))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int _let_1) tptp.zero_zero_int)) (= (tptp.hAPP_int_int (tptp.div_mod_int tptp.one_one_int) _let_1) (tptp.hAPP_P1175774780nt_int tptp.product_snd_int_int (tptp.hAPP_P1975530577nt_int tptp.negateSnd (tptp.negDivAlg (tptp.hAPP_int_int tptp.uminus_uminus_int tptp.one_one_int) (tptp.hAPP_int_int tptp.uminus_uminus_int _let_1)))))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.div_mod_int A_3) B_2) (tptp.hAPP_P1175774780nt_int tptp.product_snd_int_int (tptp.divmod_int A_3 B_2)))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_3) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_2)) (= (tptp.hAPP_int_int (tptp.div_mod_int A_3) B_2) (tptp.hAPP_P1175774780nt_int tptp.product_snd_int_int (tptp.negDivAlg A_3 B_2)))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) B_2)) (= (tptp.hAPP_int_int (tptp.div_mod_int A_3) B_2) (tptp.hAPP_P1175774780nt_int tptp.product_snd_int_int (tptp.posDivAlg A_3 B_2)))))) (forall ((W $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int W))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) _let_1)) (= (tptp.hAPP_int_int (tptp.div_mod_int tptp.one_one_int) _let_1) (tptp.hAPP_P1175774780nt_int tptp.product_snd_int_int (tptp.posDivAlg tptp.one_one_int _let_1)))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_2) tptp.zero_zero_int)) (= (tptp.hAPP_int_int (tptp.div_mod_int A_3) B_2) (tptp.hAPP_P1175774780nt_int tptp.product_snd_int_int (tptp.hAPP_P1975530577nt_int tptp.negateSnd (tptp.negDivAlg (tptp.hAPP_int_int tptp.uminus_uminus_int A_3) (tptp.hAPP_int_int tptp.uminus_uminus_int B_2)))))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_3) tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_2) tptp.zero_zero_int)) (= (tptp.hAPP_int_int (tptp.div_mod_int A_3) B_2) (tptp.hAPP_P1175774780nt_int tptp.product_snd_int_int (tptp.hAPP_P1975530577nt_int tptp.negateSnd (tptp.posDivAlg (tptp.hAPP_int_int tptp.uminus_uminus_int A_3) (tptp.hAPP_int_int tptp.uminus_uminus_int B_2)))))))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat M) N) (tptp.hAPP_P1654798560at_nat tptp.product_fst_nat_nat (tptp.divmod_nat M N)))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.div_mod_nat M) N) (tptp.hAPP_P1654798560at_nat tptp.product_snd_nat_nat (tptp.divmod_nat M N)))) (forall ((Ma $$unsorted) (Na $$unsorted) (Qr $$unsorted)) (let ((_let_1 (tptp.hAPP_P1654798560at_nat tptp.product_snd_nat_nat Qr))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)))) (let ((_let_3 (= Na tptp.zero_zero_nat))) (let ((_let_4 (tptp.hAPP_P1654798560at_nat tptp.product_fst_nat_nat Qr))) (= (tptp.hBOOL (tptp.hAPP_P1555980039t_bool (tptp.divmod_nat_rel Ma Na) Qr)) (and (= Ma (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat _let_4) Na)) _let_1)) (=> _let_3 (= _let_4 tptp.zero_zero_nat)) (=> (not _let_3) (and (=> _let_2 (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) _let_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat _let_1) Na)))) (=> (not _let_2) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) _let_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat _let_1) tptp.zero_zero_nat))))))))))))) (forall ((P_1 $$unsorted) (Na $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n332733730l_real (tptp.bolzano_bisect P_1 A_1 B_1) Na))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) B_1)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_P731461727l_real tptp.produc556554744l_real _let_1)) (tptp.hAPP_P731461727l_real tptp.produc1935615926l_real _let_1)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real B_1) A_1)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) Na)))))) (forall ((P_1 $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) B_1)) (forall ((N_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n332733730l_real (tptp.bolzano_bisect P_1 A_1 B_1) N_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_P731461727l_real tptp.produc1935615926l_real _let_1)) (tptp.hAPP_P731461727l_real tptp.produc556554744l_real _let_1))))))) (forall ((P_1 $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (= (tptp.hAPP_n332733730l_real (tptp.bolzano_bisect P_1 A_1 B_1) tptp.zero_zero_nat) (tptp.hAPP_r1195171167l_real (tptp.hAPP_r2019696015l_real tptp.produc865579683l_real A_1) B_1))) (forall ((P_1 $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) B_1)) (forall ((N_1 $$unsorted)) (let ((_let_1 (tptp.bolzano_bisect P_1 A_1 B_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_P731461727l_real tptp.produc1935615926l_real (tptp.hAPP_n332733730l_real _let_1 N_1))) (tptp.hAPP_P731461727l_real tptp.produc1935615926l_real (tptp.hAPP_n332733730l_real _let_1 (tptp.hAPP_nat_nat tptp.suc N_1))))))))) (forall ((P_1 $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) B_1)) (forall ((N_1 $$unsorted)) (let ((_let_1 (tptp.bolzano_bisect P_1 A_1 B_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_P731461727l_real tptp.produc556554744l_real (tptp.hAPP_n332733730l_real _let_1 (tptp.hAPP_nat_nat tptp.suc N_1)))) (tptp.hAPP_P731461727l_real tptp.produc556554744l_real (tptp.hAPP_n332733730l_real _let_1 N_1)))))))) (forall ((Na $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted) (P_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n332733730l_real (tptp.bolzano_bisect P_1 A_1 B_1) Na))) (=> (forall ((A_2 $$unsorted) (B_4 $$unsorted) (C_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2019696015l_real tptp.produc865579683l_real A_2))) (=> (tptp.hBOOL (tptp.hAPP_P1333854989l_bool P_1 (tptp.hAPP_r1195171167l_real _let_1 B_4))) (=> (tptp.hBOOL (tptp.hAPP_P1333854989l_bool P_1 (tptp.hAPP_r1195171167l_real (tptp.hAPP_r2019696015l_real tptp.produc865579683l_real B_4) C_3))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_2) B_4)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real B_4) C_3)) (tptp.hBOOL (tptp.hAPP_P1333854989l_bool P_1 (tptp.hAPP_r1195171167l_real _let_1 C_3))))))))) (=> (not (tptp.hBOOL (tptp.hAPP_P1333854989l_bool P_1 (tptp.hAPP_r1195171167l_real (tptp.hAPP_r2019696015l_real tptp.produc865579683l_real A_1) B_1)))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) B_1)) (not (tptp.hBOOL (tptp.hAPP_P1333854989l_bool P_1 (tptp.hAPP_r1195171167l_real (tptp.hAPP_r2019696015l_real tptp.produc865579683l_real (tptp.hAPP_P731461727l_real tptp.produc1935615926l_real _let_1)) (tptp.hAPP_P731461727l_real tptp.produc556554744l_real _let_1)))))))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_2 $$unsorted) (B_4 $$unsorted) (C_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2019696015l_real tptp.produc865579683l_real A_2))) (=> (and (tptp.hBOOL (tptp.hAPP_P1333854989l_bool P_1 (tptp.hAPP_r1195171167l_real _let_1 B_4))) (tptp.hBOOL (tptp.hAPP_P1333854989l_bool P_1 (tptp.hAPP_r1195171167l_real (tptp.hAPP_r2019696015l_real tptp.produc865579683l_real B_4) C_3))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_2) B_4)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real B_4) C_3))) (tptp.hBOOL (tptp.hAPP_P1333854989l_bool P_1 (tptp.hAPP_r1195171167l_real _let_1 C_3)))))) (=> (not (tptp.hBOOL (tptp.hAPP_P1333854989l_bool P_1 (tptp.hAPP_r1195171167l_real (tptp.hAPP_r2019696015l_real tptp.produc865579683l_real A_1) B_1)))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) B_1)) (forall ((N_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n332733730l_real (tptp.bolzano_bisect P_1 A_1 B_1) N_1))) (not (tptp.hBOOL (tptp.hAPP_P1333854989l_bool P_1 (tptp.hAPP_r1195171167l_real (tptp.hAPP_r2019696015l_real tptp.produc865579683l_real (tptp.hAPP_P731461727l_real tptp.produc1935615926l_real _let_1)) (tptp.hAPP_P731461727l_real tptp.produc556554744l_real _let_1))))))))))) (= tptp.one_on1684967323de_int (tptp.hAPP_i1732201573de_int tptp.number1226105091de_int _let_1)) (forall ((K_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_i1732201573de_int tptp.number1226105091de_int _let_1))) (let ((_let_3 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int _let_1)) (tptp.quickcheck_int_of (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.div_di1430059507de_int K_2) _let_2))))) (let ((_let_4 (tptp.quickcheck_int_of K_2))) (let ((_let_5 (= (tptp.hAPP_Q1762011733de_int (tptp.div_mo231679042de_int K_2) _let_2) tptp.zero_z891286103de_int))) (let ((_let_6 (= K_2 tptp.zero_z891286103de_int))) (and (=> _let_6 (= _let_4 tptp.zero_zero_int)) (=> (not _let_6) (and (=> _let_5 (= _let_4 _let_3)) (=> (not _let_5) (= _let_4 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int _let_3) tptp.one_one_int))))))))))))) (forall ((R_2 $$unsorted) (A_3 $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_complex (tptp.hAPP_c1088319240omplex tptp.power_power_complex (tptp.rcis R_2 A_3)) N) (tptp.rcis (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real R_2) N) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat N)) A_3)))) (forall ((Na $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le258702272de_int Na) Ma)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.quickcheck_int_of Na)) (tptp.quickcheck_int_of Ma))))) (forall ((K_2 $$unsorted)) (= (tptp.quickcheck_int_of (tptp.hAPP_i1732201573de_int tptp.number1226105091de_int K_2)) (tptp.hAPP_int_int tptp.number_number_of_int K_2))) (forall ((Na $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_Q2096512830t_bool (tptp.hAPP_Q1010094925t_bool tptp.ord_le1860547276de_int Na) Ma)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.quickcheck_int_of Na)) (tptp.quickcheck_int_of Ma))))) (forall ((K $$unsorted) (L $$unsorted)) (= (= (tptp.quickcheck_int_of K) (tptp.quickcheck_int_of L)) (= K L))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (= (tptp.quickcheck_int_of Xa) (tptp.quickcheck_int_of Ya)) (= Xa Ya))) (= tptp.zero_z891286103de_int (tptp.hAPP_i1732201573de_int tptp.number1226105091de_int tptp.pls)) (forall ((R_2 $$unsorted)) (= (tptp.rcis R_2 tptp.zero_zero_real) (tptp.of_real_complex R_2))) (forall ((R_2 $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP_complex_real tptp.norm_norm_complex (tptp.rcis R_2 A_3)) (tptp.hAPP_real_real tptp.abs_abs_real R_2))) (forall ((A_3 $$unsorted)) (= (tptp.cis A_3) (tptp.rcis tptp.one_one_real A_3))) (forall ((A_3 $$unsorted)) (= (tptp.rcis tptp.zero_zero_real A_3) tptp.zero_zero_complex)) (forall ((R_2 $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP_complex_real tptp.re (tptp.rcis R_2 A_3)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real R_2) (tptp.hAPP_real_real tptp.cos A_3)))) (forall ((R_2 $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP_complex_real tptp.im (tptp.rcis R_2 A_3)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real R_2) (tptp.hAPP_real_real tptp.sin A_3)))) (forall ((R1 $$unsorted) (A_3 $$unsorted) (R2 $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.rcis R1 A_3)) (tptp.rcis R2 B_2)) (tptp.rcis (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real R1) R2) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_3) B_2)))) (forall ((R1 $$unsorted) (A_3 $$unsorted) (R2 $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.invers1025623611omplex (tptp.rcis R1 A_3)) (tptp.rcis R2 B_2)) (tptp.rcis (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real R1) R2) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real A_3) B_2)))) (forall ((R_2 $$unsorted) (A_3 $$unsorted)) (= (tptp.rcis R_2 A_3) (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.times_times_complex (tptp.of_real_complex R_2)) (tptp.cis A_3)))) (forall ((R_2 $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP_complex_complex tptp.invers1449016382omplex (tptp.rcis R_2 A_3)) (tptp.rcis (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.one_one_real) R_2) (tptp.hAPP_real_real tptp.uminus_uminus_real A_3)))) (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.quickc495462417de_int N M) (tptp.hAPP_Q1256397320de_int (tptp.hAPP_Q952608535de_int tptp.produc1318306967de_int (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.div_di1430059507de_int N) M)) (tptp.hAPP_Q1762011733de_int (tptp.div_mo231679042de_int N) M)))) (forall ((I $$unsorted)) (= (tptp.quickcheck_nat_of I) (tptp.hAPP_int_nat tptp.nat (tptp.quickcheck_int_of I)))) (forall ((P_1 $$unsorted) (A0 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.accp_int tptp.quickc1265749348ro_rel) A0)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.is_int I_2) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.accp_int tptp.quickc1265749348ro_rel) I_2)) (=> (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int I_2) tptp.zero_zero_int))) (=> (not (= I_2 tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int I_2) tptp.one_one_int))))) (tptp.hBOOL (tptp.hAPP_int_bool P_1 I_2)))))) (tptp.hBOOL (tptp.hAPP_int_bool P_1 A0))))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.fact_fact_int X))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)))) (and (=> _let_2 (= _let_1 (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat tptp.fact_fact_nat (tptp.hAPP_int_nat tptp.nat X))))) (=> (not _let_2) (= _let_1 tptp.zero_zero_int)))))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int M) N)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.fact_fact_int M)) (tptp.hAPP_int_int tptp.fact_fact_int N))))) (= (tptp.hAPP_int_int tptp.fact_fact_int tptp.one_one_int) tptp.one_one_int) (= (tptp.hAPP_int_int tptp.fact_fact_int tptp.zero_zero_int) tptp.one_one_int) (forall ((M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int M) tptp.zero_zero_int)) (= (tptp.hAPP_int_int tptp.fact_fact_int M) tptp.zero_zero_int))) (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) M)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int M) N)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.fact_fact_int M)) (tptp.hAPP_int_int tptp.fact_fact_int N)))))) (forall ((M $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_int_int tptp.fact_fact_int M)))) (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) N)) (not (= (tptp.hAPP_int_int tptp.fact_fact_int N) tptp.zero_zero_int)))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int tptp.fact_fact_int X)))))) (forall ((X $$unsorted)) (= (tptp.hAPP_int_int tptp.fact_fact_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int X)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat tptp.fact_fact_nat X)))) (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) N)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.hAPP_int_int tptp.fact_fact_int N))))) (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) N)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.hAPP_int_int tptp.fact_fact_int N))))) (forall ((M $$unsorted) (K_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) K_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.fact_fact_int M)) (tptp.hAPP_int_int tptp.fact_fact_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int M) K_2)))))) (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.one_one_int) M)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int M) N)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int M) (tptp.hAPP_int_int tptp.fact_fact_int N)))))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (= (tptp.hAPP_nat_nat tptp.fact_fact_nat (tptp.hAPP_int_nat tptp.nat X)) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int tptp.fact_fact_int X))))) (forall ((M $$unsorted) (K_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) K_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) M)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.fact_fact_int M)) (tptp.hAPP_int_int tptp.fact_fact_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int M) tptp.one_one_int)) K_2))))))) (forall ((N $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int N) tptp.one_one_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) N)) (= (tptp.hAPP_int_int tptp.fact_fact_int _let_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int _let_1) (tptp.hAPP_int_int tptp.fact_fact_int N)))))) (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) N)) (= (tptp.hAPP_int_int tptp.fact_fact_int N) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int N) (tptp.hAPP_int_int tptp.fact_fact_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int N) tptp.one_one_int)))))) (forall ((I $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) I)) (= (tptp.hAPP_list_int_nat tptp.size_size_list_int (tptp.quickc666637781d_zero I)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_int_nat tptp.nat I))) tptp.one_one_nat)))) (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) P_5)) (= (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_i1948725293t_bool (tptp.bnorRset A_1) P_5)) (tptp.hAPP_int_nat tptp.nat A_1))))) (forall ((P_1 $$unsorted)) (=> (and (forall ((A_2 $$unsorted) (B_4 $$unsorted) (C_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2019696015l_real tptp.produc865579683l_real A_2))) (=> (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_2) B_4)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real B_4) C_3)) (tptp.hBOOL (tptp.hAPP_P1333854989l_bool P_1 (tptp.hAPP_r1195171167l_real _let_1 B_4))) (tptp.hBOOL (tptp.hAPP_P1333854989l_bool P_1 (tptp.hAPP_r1195171167l_real (tptp.hAPP_r2019696015l_real tptp.produc865579683l_real B_4) C_3)))) (tptp.hBOOL (tptp.hAPP_P1333854989l_bool P_1 (tptp.hAPP_r1195171167l_real _let_1 C_3)))))) (forall ((X_1 $$unsorted)) (exists ((D_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) D_2)) (forall ((A_2 $$unsorted) (B_4 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_2) X_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_1) B_4)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real B_4) A_2)) D_2))) (tptp.hBOOL (tptp.hAPP_P1333854989l_bool P_1 (tptp.hAPP_r1195171167l_real (tptp.hAPP_r2019696015l_real tptp.produc865579683l_real A_2) B_4))))))))) (forall ((A_2 $$unsorted) (B_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_2) B_4)) (tptp.hBOOL (tptp.hAPP_P1333854989l_bool P_1 (tptp.hAPP_r1195171167l_real (tptp.hAPP_r2019696015l_real tptp.produc865579683l_real A_2) B_4))))))) (forall ((B_1 $$unsorted) (A_1 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int B_1) (tptp.hAPP_i1948725293t_bool (tptp.bnorRset A_1) Ma))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_1) A_1)))) (forall ((Ma $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) B_1)) (not (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int B_1) (tptp.hAPP_i1948725293t_bool (tptp.bnorRset A_1) Ma)))))) (forall ((A_1 $$unsorted) (Ma $$unsorted)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.hAPP_i1948725293t_bool (tptp.bnorRset A_1) Ma)))) (forall ((B_1 $$unsorted) (A_1 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int B_1) (tptp.hAPP_i1948725293t_bool (tptp.bnorRset A_1) Ma))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_1)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_2 $$unsorted) (B_4 $$unsorted) (C_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_r2019696015l_real tptp.produc865579683l_real A_2))) (=> (and (tptp.hBOOL (tptp.hAPP_P1333854989l_bool P_1 (tptp.hAPP_r1195171167l_real _let_1 B_4))) (tptp.hBOOL (tptp.hAPP_P1333854989l_bool P_1 (tptp.hAPP_r1195171167l_real (tptp.hAPP_r2019696015l_real tptp.produc865579683l_real B_4) C_3))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_2) B_4)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real B_4) C_3))) (tptp.hBOOL (tptp.hAPP_P1333854989l_bool P_1 (tptp.hAPP_r1195171167l_real _let_1 C_3)))))) (=> (forall ((X_1 $$unsorted)) (exists ((D_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) D_2)) (forall ((A_2 $$unsorted) (B_4 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_2) X_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_1) B_4)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real B_4) A_2)) D_2))) (tptp.hBOOL (tptp.hAPP_P1333854989l_bool P_1 (tptp.hAPP_r1195171167l_real (tptp.hAPP_r2019696015l_real tptp.produc865579683l_real A_2) B_4)))))))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) B_1)) (tptp.hBOOL (tptp.hAPP_P1333854989l_bool P_1 (tptp.hAPP_r1195171167l_real (tptp.hAPP_r2019696015l_real tptp.produc865579683l_real A_1) B_1))))))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.bezw X Y))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_P1175774780nt_int tptp.product_fst_int_int _let_1)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int X))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_P1175774780nt_int tptp.product_snd_int_int _let_1)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Y))) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat X) Y))))) (forall ((M $$unsorted) (N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat M) N)) M))) (forall ((M $$unsorted) (N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat M) N)) N))) (forall ((M $$unsorted) (N $$unsorted) (K_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat M) N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K_2) N)))) (forall ((N $$unsorted) (M $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_3) B_2) tptp.one_one_nat) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_3) N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat B_2) M)) tptp.one_one_nat))) (forall ((K_2 $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K_2))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat M) N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat (tptp.hAPP_nat_nat _let_1 M)) (tptp.hAPP_nat_nat _let_1 N))))) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat X))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat (tptp.hAPP_nat_nat _let_1 Y)) Z_1) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat Y) Z_1))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (C_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_3))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat (tptp.hAPP_nat_nat _let_1 B_2)) C_1) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat B_2) C_1))))) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat X))) (let ((_let_2 (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat Y))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat _let_2 Z_1)) (tptp.hAPP_nat_nat _let_2 (tptp.hAPP_nat_nat _let_1 Z_1)))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted) (C_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat B_2))) (let ((_let_2 (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_3))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat _let_2 C_1)) (tptp.hAPP_nat_nat _let_2 (tptp.hAPP_nat_nat _let_1 C_1)))))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat X))) (let ((_let_2 (tptp.hAPP_nat_nat _let_1 Y))) (= (tptp.hAPP_nat_nat _let_1 _let_2) _let_2)))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_3))) (let ((_let_2 (tptp.hAPP_nat_nat _let_1 B_2))) (= (tptp.hAPP_nat_nat _let_1 _let_2) _let_2)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat X) Y) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat Y) X))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_3) B_2) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat B_2) A_3))) (forall ((X $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat X) X) X)) (forall ((A_3 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_3) A_3) A_3)) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat X) Y)) X))) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat X) Y)) Y))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Xa) Ya)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat Xa) Ya) Xa))) (forall ((K $$unsorted) (Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat K))) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat Ma) Na))) (and (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Ma)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Na)))))) (forall ((Xa $$unsorted) (Ya $$unsorted) (Z_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Xa))) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat Ya) Z_2))) (and (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Ya)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Z_2)))))) (forall ((B_1 $$unsorted) (D_1 $$unsorted) (A_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat D_1))) (= (and (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat E))) (=> (and (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 D_1)))))) (= D_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_1) B_1))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_3) X)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_3) B_2)) X)))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat B_2) X)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_3) B_2)) X)))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X) Y)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat X) Y) X))) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat Y) X)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat X) Y) Y))) (forall ((N $$unsorted) (K_2 $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat K_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat M) N))))))) (forall ((B_2 $$unsorted) (X $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_3)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_2)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_3) B_2))))))) (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Y)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Z_1)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat Y) Z_1))))))) (forall ((B_2 $$unsorted) (D_3 $$unsorted) (A_3 $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_3) C_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat B_2) D_3)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_3) B_2)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat C_1) D_3)))))) (forall ((K_2 $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat K_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat M) N))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M))))) (forall ((K_2 $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat K_2))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat M) N))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 N))))) (forall ((X $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X))) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_3) B_2))) (not (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_3)) (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_2)))))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_3) B_2))) (let ((_let_2 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X))) (=> (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat A_3) X)) (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 A_3)))) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat _let_1) X)) (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 _let_1)))))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_3) B_2))) (let ((_let_2 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X))) (=> (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat B_2) X)) (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 B_2)))) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat _let_1) X)) (not (tptp.hBOOL (tptp.hAPP_nat_bool _let_2 _let_1)))))))) (forall ((M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat M))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) N)) (tptp.hAPP_nat_nat _let_1 N)))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M) N)) N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat M) N))) (forall ((A_3 $$unsorted) (N $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_3) N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat B_2) N)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_3) B_2)) N))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat X) Y) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat Y) (tptp.hAPP_nat_nat (tptp.div_mod_nat X) Y)))) (forall ((X $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat X) tptp.one_one_nat) tptp.one_one_nat)) (forall ((M $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat M) tptp.one_one_nat) tptp.one_one_nat)) (forall ((X $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat tptp.one_one_nat) X) tptp.one_one_nat)) (forall ((X $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat tptp.zero_zero_nat) X) X)) (forall ((X $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat X) tptp.zero_zero_nat) X)) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat Ma) Na) tptp.zero_zero_nat) (and (= Ma tptp.zero_zero_nat) (= Na tptp.zero_zero_nat)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat Xa) Ya) tptp.zero_zero_nat) (and (= Xa tptp.zero_zero_nat) (= Ya tptp.zero_zero_nat)))) (forall ((M $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat M) _let_1) _let_1))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat Ma) Na))) (or (not (= Ma tptp.zero_zero_nat)) (not (= Na tptp.zero_zero_nat))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (=> (not (= B_2 tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_3) B_2)) B_2)))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (=> (not (= A_3 tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_3) B_2)) A_3)))) (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat (tptp.hAPP_nat_nat tptp.suc N)) N) tptp.one_one_nat)) (forall ((M $$unsorted) (K_2 $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat M))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K_2) M)) N)) (tptp.hAPP_nat_nat _let_1 N)))) (forall ((X $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat X))) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_3) B_2) tptp.one_one_nat) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_3)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_2)) (= X tptp.one_one_nat)))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_1) B_1) tptp.one_one_nat) (forall ((D_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat D_2))) (= (and (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_1))) (= D_2 tptp.one_one_nat)))))) (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) N) tptp.one_one_nat)) (forall ((D_1 $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat D_1))) (= (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_1) B_1)) tptp.one_one_nat) (and (= (tptp.hAPP_nat_nat _let_1 A_1) tptp.one_one_nat) (= (tptp.hAPP_nat_nat _let_1 B_1) tptp.one_one_nat))))) (forall ((M $$unsorted) (K_2 $$unsorted) (N $$unsorted)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat K_2) N) tptp.one_one_nat) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat K_2) M)) N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat M) N)))) (forall ((B_2 $$unsorted) (D_3 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat D_3))) (=> (= (tptp.hAPP_nat_nat _let_1 A_3) tptp.one_one_nat) (=> (= (tptp.hAPP_nat_nat _let_1 B_2) tptp.one_one_nat) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_3) B_2)) tptp.one_one_nat))))) (forall ((B_1 $$unsorted) (C $$unsorted) (A_1 $$unsorted) (D_1 $$unsorted)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_1) D_1) tptp.one_one_nat) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat B_1) C) tptp.one_one_nat) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_1) C) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_1) D_1)) (and (= A_1 B_1) (= C D_1)))))) (forall ((D_3 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat D_3))) (=> (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_3) B_2)) tptp.one_one_nat) (= (tptp.hAPP_nat_nat _let_1 A_3) tptp.one_one_nat)))) (forall ((D_3 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat D_3))) (=> (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_3) B_2)) tptp.one_one_nat) (= (tptp.hAPP_nat_nat _let_1 B_2) tptp.one_one_nat)))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N) M)) N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat M) N)))) (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N) M)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) N)) N) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat M) N)))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat X) Y))) (let ((_let_2 (= Y tptp.zero_zero_nat))) (and (=> _let_2 (= _let_1 X)) (=> (not _let_2) (= _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat Y) (tptp.hAPP_nat_nat (tptp.div_mod_nat X) Y)))))))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (not (= Y tptp.zero_zero_nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat X) Y) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat Y) (tptp.hAPP_nat_nat (tptp.div_mod_nat X) Y))))) (forall ((N $$unsorted) (D_3 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat D_3))) (=> (= (tptp.hAPP_nat_nat _let_1 A_3) tptp.one_one_nat) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat A_3) N)) tptp.one_one_nat)))) (forall ((N $$unsorted)) (= (tptp.archim856651990g_real (tptp.hAPP_nat_real tptp.real_nat N)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int N))) (forall ((X $$unsorted)) (= (tptp.natceiling X) (tptp.hAPP_int_nat tptp.nat (tptp.archim856651990g_real X)))) (forall ((B_5 $$unsorted) (A_5 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_3) B_2))) (=> (not (= _let_1 tptp.zero_zero_nat)) (=> (= A_3 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_5) _let_1)) (=> (= B_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_5) _let_1)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_5) B_5) tptp.one_one_nat)))))) (forall ((N $$unsorted)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) N) tptp.one_one_nat))) (forall ((N $$unsorted) (M $$unsorted) (R_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat M) R_2)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat N) R_2)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat M) N) tptp.one_one_nat) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) N)) R_2)))))) (forall ((Ma $$unsorted) (K $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat K))) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat K) Na) tptp.one_one_nat) (= (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Ma) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 Ma)))))) (forall ((M $$unsorted) (K_2 $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat K_2))) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat K_2) N) tptp.one_one_nat) (=> (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat M) N))) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 M)))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_3) B_2))) (=> (or (not (= A_3 tptp.zero_zero_nat)) (not (= B_2 tptp.zero_zero_nat))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat A_3) _let_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat B_2) _let_1)) tptp.one_one_nat)))) (forall ((X $$unsorted) (Y $$unsorted) (M $$unsorted)) (=> (= (tptp.hAPP_nat_nat (tptp.div_mod_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat X) Y)) M) tptp.one_one_nat) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat X) M) tptp.one_one_nat))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_1) B_1) tptp.one_one_nat) (forall ((D_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat D_2))) (= (and (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_nat_bool _let_1 B_1))) (= D_2 (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (=> (not (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_3) B_2) tptp.zero_zero_nat)) (exists ((A_4 $$unsorted) (B_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_3) B_2))) (and (= A_3 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_4) _let_1)) (= B_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_3) _let_1)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_4) B_3) tptp.one_one_nat)))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (=> (not (= A_3 tptp.zero_zero_nat)) (exists ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_3) X_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat B_2) Y_1)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat A_3) B_2)))))) (forall ((X_2 $$unsorted)) (= (tptp.hBOOL (tptp.cauchy_real X_2)) (forall ((J_1 $$unsorted)) (exists ((M_3 $$unsorted)) (forall ((M_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_3) M_1)) (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_3) N_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_nat_real X_2 M_1)) (tptp.hAPP_nat_real X_2 N_1)))) (tptp.hAPP_real_real tptp.inverse_inverse_real (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.suc J_1))))))))))))) (forall ((N $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_real tptp.real_int N))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real _let_1) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real _let_1) tptp.one_one_real))) (= (tptp.archim856651990g_real X) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int N) tptp.one_one_int)))))) (forall ((A_3 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.one_one_real) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) A_3)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.ln X)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr X) A_3)) A_3)))))) (forall ((V_1 $$unsorted)) (= (tptp.hAPP_int_real tptp.real_int (tptp.hAPP_int_int tptp.number_number_of_int V_1)) (tptp.hAPP_int_real tptp.number267125858f_real V_1))) (forall ((Xa $$unsorted)) (=> (tptp.is_int Xa) (= (= (tptp.hAPP_int_real tptp.real_int Xa) tptp.zero_zero_real) (= Xa tptp.zero_zero_int)))) (= (tptp.hAPP_int_real tptp.real_int tptp.zero_zero_int) tptp.zero_zero_real) (forall ((X $$unsorted) (A_3 $$unsorted)) (not (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr X) A_3) tptp.zero_zero_real))) (forall ((A_3 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr tptp.one_one_real) A_3) tptp.one_one_real)) (forall ((Xa $$unsorted)) (= (= (tptp.hAPP_int_real tptp.real_int (tptp.archim1246769320r_real Xa)) Xa) (exists ((N_1 $$unsorted)) (and (tptp.is_int N_1) (= Xa (tptp.hAPP_int_real tptp.real_int N_1)))))) (forall ((N $$unsorted)) (=> (tptp.is_int N) (= (tptp.archim1246769320r_real (tptp.hAPP_int_real tptp.real_int N)) N))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (and (tptp.is_int Xa) (tptp.is_int Ya)) (= (= (tptp.hAPP_int_real tptp.real_int Xa) (tptp.hAPP_int_real tptp.real_int Ya)) (= Xa Ya)))) (forall ((X $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.powr X))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr (tptp.hAPP_real_real _let_1 A_3)) B_2) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr (tptp.hAPP_real_real _let_1 B_2)) A_3)))) (forall ((X $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.powr X))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr (tptp.hAPP_real_real _let_1 A_3)) B_2) (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_3) B_2))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_int_real tptp.real_int Xa)) (tptp.hAPP_int_real tptp.real_int Ya))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Xa) Ya)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.real_int Xa)) (tptp.hAPP_int_real tptp.real_int Ya))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Xa) Ya)))) (= (tptp.hAPP_int_real tptp.real_int tptp.one_one_int) tptp.one_one_real) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_int_real tptp.real_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.real_int X)) (tptp.hAPP_int_real tptp.real_int Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_int_real tptp.real_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_int_real tptp.real_int X)) (tptp.hAPP_int_real tptp.real_int Y)))) (forall ((X $$unsorted) (N $$unsorted)) (= (tptp.hAPP_int_real tptp.real_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X) N)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.real_int X)) N))) (forall ((X $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.real_int X)) N) (tptp.hAPP_int_real tptp.real_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X) N)))) (forall ((N $$unsorted)) (= (tptp.hAPP_int_real tptp.real_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int N)) (tptp.hAPP_nat_real tptp.real_nat N))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_int_real tptp.real_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_int_real tptp.real_int X)) (tptp.hAPP_int_real tptp.real_int Y)))) (forall ((Xa $$unsorted)) (= (= (tptp.hAPP_int_real tptp.real_int (tptp.archim856651990g_real Xa)) Xa) (exists ((N_1 $$unsorted)) (and (tptp.is_int N_1) (= Xa (tptp.hAPP_int_real tptp.real_int N_1)))))) (forall ((N $$unsorted)) (=> (tptp.is_int N) (= (tptp.archim856651990g_real (tptp.hAPP_int_real tptp.real_int N)) N))) (forall ((X $$unsorted)) (= (tptp.hAPP_int_real tptp.real_int (tptp.hAPP_int_int tptp.uminus_uminus_int X)) (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_int_real tptp.real_int X)))) (forall ((X $$unsorted)) (= (tptp.hAPP_int_real tptp.real_int (tptp.hAPP_int_int tptp.abs_abs_int X)) (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_int_real tptp.real_int X)))) (forall ((R_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.real_int (tptp.archim1246769320r_real R_2))) R_2))) (forall ((R_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real R_2) (tptp.hAPP_int_real tptp.real_int (tptp.archim856651990g_real R_2))))) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr X) Y)))) (forall ((X $$unsorted) (A_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr X) A_3)))) (forall ((Y $$unsorted) (X $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_3)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) Y)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr X) A_3)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr Y) A_3)))))))) (forall ((Y $$unsorted) (X $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_3) tptp.zero_zero_real)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) Y)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr Y) A_3)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr X) A_3))))))) (forall ((X $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.powr X))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_3) B_2)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.one_one_real) X)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real _let_1 A_3)) (tptp.hAPP_real_real _let_1 B_2))))))) (forall ((X $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr X) tptp.zero_zero_real) tptp.one_one_real)) (forall ((X $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.powr X))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real _let_1 A_3)) (tptp.hAPP_real_real _let_1 B_2))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real) X)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_3) B_2)))))) (forall ((X $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.powr X))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_3) B_2)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real) X)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real _let_1 A_3)) (tptp.hAPP_real_real _let_1 B_2))))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.powr Xa))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real) Xa)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real _let_1 A_1)) (tptp.hAPP_real_real _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_1) B_1)))))) (forall ((X $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.powr X))) (= (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real A_3) B_2)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real _let_1 A_3)) (tptp.hAPP_real_real _let_1 B_2))))) (forall ((X $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.powr X))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real _let_1 A_3)) (tptp.hAPP_real_real _let_1 B_2)) (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real A_3) B_2))))) (forall ((X $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.powr X))) (= (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real tptp.uminus_uminus_real A_3)) (tptp.hAPP_real_real tptp.inverse_inverse_real (tptp.hAPP_real_real _let_1 A_3))))) (forall ((N $$unsorted) (X $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.real_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int N) X))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_int_real tptp.real_int N)) (tptp.hAPP_int_real tptp.real_int X))))) (forall ((Xa $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.archim1246769320r_real Xa)) A_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) (tptp.hAPP_int_real tptp.real_int A_1))))) (forall ((A_3 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.real_int A_3)) X)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_3) (tptp.archim1246769320r_real X))))) (forall ((A_3 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_3) (tptp.archim1246769320r_real X))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.real_int A_3)) X)))) (forall ((A_1 $$unsorted) (Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_1) (tptp.archim1246769320r_real Xa))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.real_int A_1)) Xa)))) (forall ((X $$unsorted) (A_3 $$unsorted)) (= (tptp.archim1246769320r_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) (tptp.hAPP_int_real tptp.real_int A_3))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.archim1246769320r_real X)) A_3))) (forall ((A_1 $$unsorted) (Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) (tptp.archim856651990g_real Xa))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_int_real tptp.real_int A_1)) Xa)))) (forall ((Xa $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.archim856651990g_real Xa)) A_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) (tptp.hAPP_int_real tptp.real_int A_1))))) (forall ((X $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) (tptp.hAPP_int_real tptp.real_int A_3))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.archim856651990g_real X)) A_3)))) (forall ((X $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.archim856651990g_real X)) A_3)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) (tptp.hAPP_int_real tptp.real_int A_3))))) (forall ((N $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.archim1246769320r_real X))) (=> (= X (tptp.hAPP_int_real tptp.real_int _let_1)) (= (tptp.archim1246769320r_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) N)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int _let_1) N))))) (forall ((X $$unsorted) (A_3 $$unsorted)) (= (tptp.archim1246769320r_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real X) (tptp.hAPP_int_real tptp.real_int A_3))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.archim1246769320r_real X)) A_3))) (forall ((X $$unsorted) (A_3 $$unsorted)) (= (tptp.archim856651990g_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) (tptp.hAPP_int_real tptp.real_int A_3))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.archim856651990g_real X)) A_3))) (forall ((N $$unsorted)) (= (tptp.archim1246769320r_real (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_int_real tptp.real_int N))) (tptp.hAPP_int_int tptp.uminus_uminus_int N))) (forall ((X $$unsorted) (A_3 $$unsorted)) (= (tptp.archim856651990g_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real X) (tptp.hAPP_int_real tptp.real_int A_3))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.archim856651990g_real X)) A_3))) (forall ((Y $$unsorted) (X $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A_3)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) Y)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr X) A_3)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr Y) A_3))))))) (forall ((A_3 $$unsorted) (Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Y)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real X) Y)) A_3) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr X) A_3)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr Y) A_3))))))) (forall ((A_3 $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.one_one_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A_3)) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr X) A_3))))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.powr Xa))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real) Xa)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real _let_1 A_1)) (tptp.hAPP_real_real _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) B_1)))))) (forall ((Xa $$unsorted)) (= (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr Xa) tptp.one_one_real) Xa) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Xa)))) (forall ((A_3 $$unsorted) (Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Y)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real X) Y)) A_3) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr X) A_3)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr Y) A_3))))))) (forall ((X $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.powr X))) (= (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real tptp.uminus_uminus_real A_3)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.one_one_real) (tptp.hAPP_real_real _let_1 A_3))))) (forall ((X $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr X) A_3) (tptp.hAPP_real_real tptp.exp_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_3) (tptp.hAPP_real_real tptp.ln X))))) (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_int_real tptp.real_int Na)) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Na) tptp.zero_zero_int)))) (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.hAPP_int_real tptp.real_int Na))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) Na)))) (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_int_real tptp.real_int Na))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Na)))) (forall ((Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.real_int Na)) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Na) tptp.zero_zero_int)))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_int_real tptp.real_int Ma)) (tptp.hAPP_int_real tptp.number267125858f_real Na))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Ma) (tptp.hAPP_int_int tptp.number_number_of_int Na))))) (forall ((Na $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_int_real tptp.number267125858f_real Na)) (tptp.hAPP_int_real tptp.real_int Ma))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int Na)) Ma)))) (forall ((Na $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.number267125858f_real Na)) (tptp.hAPP_int_real tptp.real_int Ma))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.number_number_of_int Na)) Ma)))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.real_int Ma)) (tptp.hAPP_int_real tptp.number267125858f_real Na))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Ma) (tptp.hAPP_int_int tptp.number_number_of_int Na))))) (forall ((Na $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Na) Ma)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_int_real tptp.real_int Na)) tptp.one_one_real)) (tptp.hAPP_int_real tptp.real_int Ma))))) (forall ((Na $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Na) Ma)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_int_real tptp.real_int Na)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_int_real tptp.real_int Ma)) tptp.one_one_real))))) (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_int_real tptp.real_int N)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_int_real tptp.real_int X)) tptp.one_one_real))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int N) X)))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (= (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_int_nat tptp.nat X)) (tptp.hAPP_int_real tptp.real_int X)))) (forall ((N $$unsorted) (D_3 $$unsorted)) (=> (tptp.is_int D_3) (=> (not (= D_3 tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int D_3) N)) (= (tptp.hAPP_int_real tptp.real_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int N) D_3)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_int_real tptp.real_int N)) (tptp.hAPP_int_real tptp.real_int D_3))))))) (forall ((R_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real R_2) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_int_real tptp.real_int (tptp.archim1246769320r_real R_2))) tptp.one_one_real)))) (forall ((R_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real R_2) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_int_real tptp.real_int (tptp.archim1246769320r_real R_2))) tptp.one_one_real)))) (forall ((N $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_real tptp.real_int N))) (=> (tptp.is_int N) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real _let_1) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real _let_1) tptp.one_one_real))) (= (tptp.archim1246769320r_real X) N)))))) (forall ((X $$unsorted) (I $$unsorted)) (= (tptp.hAPP_real_real tptp.tan (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.real_int I)) tptp.pi))) (tptp.hAPP_real_real tptp.tan X))) (forall ((R_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real R_2) tptp.one_one_real)) (tptp.hAPP_int_real tptp.real_int (tptp.archim1246769320r_real R_2))))) (forall ((R_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real R_2) tptp.one_one_real)) (tptp.hAPP_int_real tptp.real_int (tptp.archim1246769320r_real R_2))))) (forall ((R_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.real_int (tptp.archim856651990g_real R_2))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real R_2) tptp.one_one_real)))) (forall ((R_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_int_real tptp.real_int (tptp.archim856651990g_real R_2))) tptp.one_one_real)) R_2))) (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr X) (tptp.hAPP_nat_real tptp.real_nat N)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) N)))) (forall ((Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Y)) (= (tptp.hAPP_real_real tptp.ln (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Y) (tptp.hAPP_real_real tptp.ln X))))))) (forall ((X $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 A_3)) (=> (not (= A_3 tptp.one_one_real)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 X)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr A_3) (tptp.hAPP_real_real (tptp.log A_3) X)) X)))))) (forall ((Y $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) A_3)) (=> (not (= A_3 tptp.one_one_real)) (= (tptp.hAPP_real_real (tptp.log A_3) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr A_3) Y)) Y)))) (forall ((N $$unsorted) (M $$unsorted) (R_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.real_int M)) R_2)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real R_2) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_int_real tptp.real_int N)) tptp.one_one_real))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int M) N))))) (forall ((N $$unsorted) (X $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_int_real tptp.real_int N)) (tptp.hAPP_int_real tptp.real_int X))) (tptp.hAPP_int_real tptp.real_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int N) X)))))) (forall ((N $$unsorted) (X $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_int_real tptp.real_int N)) (tptp.hAPP_int_real tptp.real_int X))) (tptp.hAPP_int_real tptp.real_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int N) X)))) tptp.one_one_real))) (forall ((X $$unsorted) (D_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_real tptp.real_int D_3))) (=> (tptp.is_int D_3) (=> (not (= D_3 tptp.zero_zero_int)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_int_real tptp.real_int X)) _let_1) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_int_real tptp.real_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int X) D_3))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_int_real tptp.real_int (tptp.hAPP_int_int (tptp.div_mod_int X) D_3))) _let_1))))))) (forall ((N $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_real tptp.real_int N))) (=> (tptp.is_int N) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real _let_1) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real _let_1) tptp.one_one_real))) (= (tptp.archim1246769320r_real X) N)))))) (forall ((A_1 $$unsorted) (Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) (tptp.archim1246769320r_real Xa))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_int_real tptp.real_int A_1)) tptp.one_one_real)) Xa)))) (forall ((Xa $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.archim1246769320r_real Xa)) A_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_int_real tptp.real_int A_1)) tptp.one_one_real))))) (forall ((N $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_real tptp.real_int N))) (=> (tptp.is_int N) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real _let_1) tptp.one_one_real)) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X) _let_1)) (= (tptp.archim856651990g_real X) N)))))) (forall ((Xa $$unsorted) (A_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.archim856651990g_real Xa)) A_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_int_real tptp.real_int A_1)) tptp.one_one_real))))) (forall ((A_1 $$unsorted) (Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_1) (tptp.archim856651990g_real Xa))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_int_real tptp.real_int A_1)) tptp.one_one_real)) Xa)))) (forall ((B_2 $$unsorted) (Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.log B_2))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr X) Y)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real Y) (tptp.hAPP_real_real _let_1 X))))))) (forall ((N $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_int_real tptp.real_int N))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real _let_1) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real _let_1) tptp.one_one_real))) (= (tptp.archim856651990g_real X) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int N) tptp.one_one_int)))))) (forall ((N $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real X) N))) (let ((_let_2 (= X tptp.zero_zero_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (and (=> _let_2 (= _let_1 tptp.zero_zero_real)) (=> (not _let_2) (= _let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr X) (tptp.hAPP_nat_real tptp.real_nat N)))))))))) (forall ((A_3 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real) X)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) A_3)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr (tptp.hAPP_real_real tptp.ln X)) A_3)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.powr A_3) A_3)) X)))))) (forall ((R_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) R_2)) (exists ((N_1 $$unsorted)) (and (tptp.is_int N_1) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.real_int N_1)) R_2)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real R_2) (tptp.hAPP_int_real tptp.real_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int N_1) tptp.one_one_int)))))))) (forall ((R_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real R_2) tptp.zero_zero_real)) (exists ((N_1 $$unsorted)) (and (tptp.is_int N_1) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.real_int N_1)) R_2)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real R_2) (tptp.hAPP_int_real tptp.real_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int N_1) tptp.one_one_int)))))))) (forall ((R_2 $$unsorted)) (exists ((N_1 $$unsorted)) (and (tptp.is_int N_1) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_int_real tptp.real_int N_1)) R_2)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real R_2) (tptp.hAPP_int_real tptp.real_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int N_1) tptp.one_one_int))))))) (forall ((C_1 $$unsorted) (N $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.coprime A_3) B_2)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat A_3) B_2) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat C_1) N)) (exists ((R_1 $$unsorted) (S_2 $$unsorted)) (and (= A_3 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat R_1) N)) (= B_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat S_2) N))))))) (forall ((X $$unsorted) (Y $$unsorted) (K_2 $$unsorted) (P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_3)) (=> (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat X) Y) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat P_3) K_2)) (exists ((I_2 $$unsorted) (J_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.power_power_nat P_3))) (and (= X (tptp.hAPP_nat_nat _let_1 I_2)) (= Y (tptp.hAPP_nat_nat _let_1 J_1)))))))) (forall ((X $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) M)) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd X) M) tptp.one_one_int) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X) (tptp.phi M))) tptp.one_one_int) M))))) (forall ((I $$unsorted) (J_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_int_int (tptp.legacy_zgcd I) J_2)) J_2))) (forall ((I $$unsorted) (J_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_int_int (tptp.legacy_zgcd I) J_2)) I))) (forall ((M $$unsorted) (N $$unsorted) (K_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_int_int (tptp.legacy_zgcd M) N)) (tptp.hAPP_int_int (tptp.legacy_zgcd (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K_2) M)) N)))) (forall ((M $$unsorted) (K_2 $$unsorted) (N $$unsorted)) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd K_2) N) tptp.one_one_int) (= (tptp.hAPP_int_int (tptp.legacy_zgcd (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K_2) M)) N) (tptp.hAPP_int_int (tptp.legacy_zgcd M) N)))) (forall ((N $$unsorted) (K_2 $$unsorted) (M $$unsorted)) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd K_2) M) tptp.one_one_int) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd N) M) tptp.one_one_int) (= (tptp.hAPP_int_int (tptp.legacy_zgcd (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K_2) N)) M) tptp.one_one_int)))) (forall ((M $$unsorted)) (= (tptp.hAPP_int_int (tptp.legacy_zgcd M) tptp.one_one_int) tptp.one_one_int)) (forall ((M $$unsorted)) (= (tptp.hAPP_int_int (tptp.legacy_zgcd tptp.one_one_int) M) tptp.one_one_int)) (forall ((I_1 $$unsorted) (J $$unsorted)) (=> (and (tptp.is_int I_1) (tptp.is_int J)) (= (= (tptp.hAPP_int_int (tptp.legacy_zgcd I_1) J) tptp.zero_zero_int) (and (= I_1 tptp.zero_zero_int) (= J tptp.zero_zero_int))))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_int_int (tptp.legacy_zgcd M) N) (tptp.hAPP_int_int (tptp.legacy_zgcd N) (tptp.hAPP_int_int (tptp.div_mod_int M) N)))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int (tptp.legacy_zgcd A_3) B_2)) N) (tptp.hAPP_int_int (tptp.legacy_zgcd (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_3) N)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int B_2) N)))) (forall ((N $$unsorted) (K_2 $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int K_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 M)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 N)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.legacy_zgcd M) N))))))) (forall ((K $$unsorted) (Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int K))) (= (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.legacy_zgcd Ma) Na))) (and (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Ma)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Na)))))) (forall ((I $$unsorted) (J_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.legacy_zgcd I) J_2) (tptp.hAPP_int_int (tptp.legacy_zgcd J_2) I))) (forall ((K_2 $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.legacy_zgcd K_2))) (let ((_let_2 (tptp.legacy_zgcd M))) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int _let_2 N)) (tptp.hAPP_int_int _let_2 (tptp.hAPP_int_int _let_1 N)))))) (forall ((K_2 $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.legacy_zgcd K_2))) (= (tptp.hAPP_int_int (tptp.legacy_zgcd (tptp.hAPP_int_int _let_1 M)) N) (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.legacy_zgcd M) N))))) (forall ((I $$unsorted) (J_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.legacy_zgcd (tptp.hAPP_int_int tptp.uminus_uminus_int I)) J_2) (tptp.hAPP_int_int (tptp.legacy_zgcd I) J_2))) (forall ((I $$unsorted) (J_2 $$unsorted)) (let ((_let_1 (tptp.legacy_zgcd I))) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int tptp.uminus_uminus_int J_2)) (tptp.hAPP_int_int _let_1 J_2)))) (forall ((M $$unsorted) (N $$unsorted) (K_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.legacy_zgcd (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int M) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int N) K_2))) N) (tptp.hAPP_int_int (tptp.legacy_zgcd M) N))) (forall ((I $$unsorted) (J_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_int_int (tptp.legacy_zgcd I) J_2)))) (forall ((M $$unsorted)) (=> (tptp.is_int M) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) M)) (= (tptp.hAPP_int_int (tptp.legacy_zgcd M) M) M)))) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_int_int (tptp.legacy_zgcd X) Y)))) (forall ((N $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd A_3) B_2) tptp.one_one_int) (= (tptp.hAPP_int_int (tptp.legacy_zgcd (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_3) N)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int B_2) N)) tptp.one_one_int))) (forall ((N $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd A_3) B_2) tptp.one_one_int) (= (tptp.hAPP_int_int (tptp.legacy_zgcd (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_3) N)) B_2) tptp.one_one_int))) (forall ((K_2 $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int K_2))) (= (tptp.hAPP_int_int (tptp.legacy_zgcd (tptp.hAPP_int_int _let_1 M)) (tptp.hAPP_int_int _let_1 N)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.abs_abs_int K_2)) (tptp.hAPP_int_int (tptp.legacy_zgcd M) N))))) (forall ((M $$unsorted)) (= (tptp.hAPP_int_int (tptp.legacy_zgcd tptp.zero_zero_int) M) (tptp.hAPP_int_int tptp.abs_abs_int M))) (forall ((M $$unsorted)) (= (tptp.hAPP_int_int (tptp.legacy_zgcd M) tptp.zero_zero_int) (tptp.hAPP_int_int tptp.abs_abs_int M))) (forall ((N $$unsorted) (K_2 $$unsorted)) (=> (tptp.is_int K_2) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) K_2)) (= (tptp.hAPP_int_int (tptp.legacy_zgcd (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K_2) N)) K_2) K_2)))) (forall ((M $$unsorted) (N $$unsorted) (K_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int K_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) K_2)) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.legacy_zgcd M) N)) (tptp.hAPP_int_int (tptp.legacy_zgcd (tptp.hAPP_int_int _let_1 M)) (tptp.hAPP_int_int _let_1 N)))))) (forall ((N $$unsorted) (K_2 $$unsorted)) (=> (tptp.is_int K_2) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) K_2)) (= (tptp.hAPP_int_int (tptp.legacy_zgcd K_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K_2) N)) K_2)))) (forall ((Na $$unsorted) (Ma $$unsorted)) (=> (tptp.is_int Ma) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) Ma)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int Ma) Na)) (= (tptp.hAPP_int_int (tptp.legacy_zgcd Na) Ma) Ma))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.legacy_zgcd A_3) B_2))) (=> (and (tptp.is_int B_2) (tptp.is_int A_3)) (=> (or (not (= A_3 tptp.zero_zero_int)) (not (= B_2 tptp.zero_zero_int))) (= (tptp.hAPP_int_int (tptp.legacy_zgcd (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) _let_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int B_2) _let_1)) tptp.one_one_int))))) (forall ((N $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool (tptp.zcong A_3) B_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 M)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 N)) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd M) N) tptp.one_one_int) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int M) N)))))))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) N)) (= (tptp.hAPP_int_int (tptp.legacy_zgcd M) N) (tptp.hAPP_int_int (tptp.legacy_zgcd N) (tptp.hAPP_int_int (tptp.div_mod_int M) N))))) (forall ((M $$unsorted) (K_2 $$unsorted) (N $$unsorted)) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd K_2) N) tptp.one_one_int) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_int_int (tptp.legacy_zgcd (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K_2) M)) N)) (tptp.hAPP_int_int (tptp.legacy_zgcd M) N))))) (forall ((M $$unsorted) (N $$unsorted) (K_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int K_2))) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd N) K_2) tptp.one_one_int) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int M) N))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 M)))))) (forall ((K_2 $$unsorted) (I $$unsorted) (J_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int I))) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd I) J_2) tptp.one_one_int) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K_2) J_2))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 K_2)))))) (forall ((Ma $$unsorted)) (= (= (tptp.hAPP_int_int (tptp.legacy_zgcd tptp.zero_zero_int) Ma) tptp.one_one_int) (= (tptp.hAPP_int_int tptp.abs_abs_int Ma) tptp.one_one_int))) (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hAPP_int_int (tptp.legacy_zgcd K) L) (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int (tptp.hAPP_b1463609396nt_int tptp.if_int (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.fequal_int L) tptp.zero_zero_int)) K) (tptp.hAPP_int_int (tptp.legacy_zgcd L) (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int tptp.abs_abs_int K)) (tptp.hAPP_int_int tptp.abs_abs_int L))))))) (forall ((N $$unsorted) (P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int P_3) N))) (= (tptp.hAPP_int_int (tptp.legacy_zgcd N) P_3) tptp.one_one_int)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP_int_int (tptp.legacy_zgcd A_1) B_1) tptp.one_one_int) (not (exists ((P_4 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int P_4))) (and (tptp.is_int P_4) (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_4)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_1)))))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) M)) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd A_3) M) tptp.one_one_int) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_3) B_2) M)) (= (tptp.hAPP_int_int (tptp.legacy_zgcd B_2) M) tptp.one_one_int))))) (forall ((N $$unsorted) (P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) N)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int N) P_3)) (= (tptp.hAPP_int_int (tptp.legacy_zgcd N) P_3) tptp.one_one_int))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (K $$unsorted) (Ma $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int K))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Ma)) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd K) Ma) tptp.one_one_int) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int _let_1 A_1)) (tptp.hAPP_int_int _let_1 B_1)) Ma)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_1) B_1) Ma))))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (K $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Ma)) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd K) Ma) tptp.one_one_int) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_1) K)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_1) K)) Ma)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_1) B_1) Ma)))))) (forall ((M $$unsorted) (N $$unsorted) (K_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int K_2))) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd N) K_2) tptp.one_one_int) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int M) N))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) M)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 M))))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (Ma $$unsorted)) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd B_1) Ma) tptp.one_one_int) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_1)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_1) A_1)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int B_1) (tptp.hAPP_i1948725293t_bool (tptp.bnorRset A_1) Ma))))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.nat Xa))) (=> (tptp.is_int A_1) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_1) B_1) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int C) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.one_one_nat) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zOdd)) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd A_1) B_1) tptp.one_one_int) (exists ((K_1 $$unsorted)) (and (tptp.is_int K_1) (= A_1 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int K_1) (tptp.hAPP_int_nat tptp.nat Xa)))))))))))) (forall ((Ma $$unsorted) (K $$unsorted) (Na $$unsorted)) (=> (tptp.is_int K) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) Na)) (= (= (tptp.hAPP_int_int (tptp.legacy_zgcd Ma) Na) K) (exists ((S_2 $$unsorted) (T $$unsorted)) (and (tptp.is_int S_2) (tptp.is_int T) (= (tptp.xzgcd Ma Na) (tptp.hAPP_P408881810nt_int (tptp.hAPP_i1730167831nt_int tptp.produc282740534nt_int K) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int S_2) T))))))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (C_1 $$unsorted) (N $$unsorted)) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) B_2) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int C_1) N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.one_one_nat) N)) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd A_3) B_2) tptp.one_one_int) (exists ((K_1 $$unsorted)) (and (tptp.is_int K_1) (= (tptp.hAPP_int_int tptp.abs_abs_int A_3) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int K_1) N)))))))) (forall ((M $$unsorted) (N $$unsorted) (R_4 $$unsorted) (R_2 $$unsorted) (S_3 $$unsorted) (S_1 $$unsorted) (T_2 $$unsorted) (T_1 $$unsorted) (K_2 $$unsorted)) (=> (tptp.is_int K_2) (=> (exists ((Sn $$unsorted) (Tn $$unsorted)) (= (tptp.xzgcda M N R_4 R_2 S_3 S_1 T_2 T_1) (tptp.hAPP_P408881810nt_int (tptp.hAPP_i1730167831nt_int tptp.produc282740534nt_int K_2) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int Sn) Tn)))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) R_2)) (= (tptp.hAPP_int_int (tptp.legacy_zgcd R_4) R_2) K_2))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) N)) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd A_3) N) tptp.one_one_int) (exists ((X_1 $$unsorted)) (and (tptp.is_int X_1) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_1) N)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) X_1)) B_2) N)) (forall ((Y_1 $$unsorted)) (=> (tptp.is_int Y_1) (=> (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Y_1) N)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) Y_1)) B_2) N))) (= Y_1 X_1))))))))) (forall ((A_3 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) N)) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd A_3) N) tptp.one_one_int) (exists ((X_1 $$unsorted)) (and (tptp.is_int X_1) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) X_1)) tptp.one_one_int) N))))))) (forall ((M $$unsorted) (N $$unsorted) (S_3 $$unsorted) (S_1 $$unsorted) (T_2 $$unsorted) (T_1 $$unsorted) (R_4 $$unsorted) (R_2 $$unsorted) (K_2 $$unsorted)) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd R_4) R_2) K_2) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) R_2)) (exists ((Sn $$unsorted) (Tn $$unsorted)) (and (tptp.is_int Sn) (tptp.is_int Tn) (= (tptp.xzgcda M N R_4 R_2 S_3 S_1 T_2 T_1) (tptp.hAPP_P408881810nt_int (tptp.hAPP_i1730167831nt_int tptp.produc282740534nt_int K_2) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int Sn) Tn)))))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (C $$unsorted) (D_1 $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.nat Xa))) (=> (and (tptp.is_int A_1) (tptp.is_int B_1) (tptp.is_int C)) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_1) B_1)) C) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int D_1) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.one_one_nat) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) tptp.zOdd)) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd A_1) B_1) tptp.one_one_int) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd B_1) C) tptp.one_one_int) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd C) A_1) tptp.one_one_int) (exists ((K_1 $$unsorted) (L_1 $$unsorted) (M_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.nat Xa))) (and (tptp.is_int K_1) (tptp.is_int L_1) (tptp.is_int M_1) (= A_1 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int K_1) _let_1)) (= B_1 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int L_1) _let_1)) (= C (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int M_1) _let_1)))))))))))))) (forall ((M $$unsorted) (K_2 $$unsorted) (N $$unsorted)) (=> (tptp.is_int K_2) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) N)) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd M) N) K_2) (exists ((S_2 $$unsorted) (T $$unsorted)) (and (tptp.is_int S_2) (tptp.is_int T) (= K_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int S_2) M)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int T) N))))))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (C_1 $$unsorted) (D_3 $$unsorted) (N $$unsorted)) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) B_2)) C_1) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int D_3) N)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.one_one_nat) N)) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd A_3) B_2) tptp.one_one_int) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd B_2) C_1) tptp.one_one_int) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd C_1) A_3) tptp.one_one_int) (exists ((K_1 $$unsorted) (L_1 $$unsorted) (M_1 $$unsorted)) (and (tptp.is_int K_1) (tptp.is_int L_1) (tptp.is_int M_1) (= (tptp.hAPP_int_int tptp.abs_abs_int A_3) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int K_1) N)) (= (tptp.hAPP_int_int tptp.abs_abs_int B_2) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int L_1) N)) (= (tptp.hAPP_int_int tptp.abs_abs_int C_1) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int M_1) N)))))))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (=> (and (tptp.is_int B_2) (tptp.is_int A_3)) (=> (or (not (= A_3 tptp.zero_zero_int)) (not (= B_2 tptp.zero_zero_int))) (exists ((C_3 $$unsorted) (D_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.legacy_zgcd A_3) B_2)))) (and (tptp.is_int C_3) (tptp.is_int D_2) (= A_3 (tptp.hAPP_int_int _let_1 C_3)) (= B_2 (tptp.hAPP_int_int _let_1 D_2)) (= (tptp.hAPP_int_int (tptp.legacy_zgcd C_3) D_2) tptp.one_one_int))))))) (forall ((Sb $$unsorted) (Ta $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Sb) Ta)) (tptp.hBOOL (tptp.hAPP_f115998247l_bool (tptp.hAPP_P1876494581l_bool tptp.member180897546at_nat (tptp.hAPP_P369611207at_nat (tptp.hAPP_P402336767at_nat tptp.produc494345619at_nat (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat A_1) Sb)) (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat B_1) Ta))) tptp.pair_less))))) (forall ((Sb $$unsorted) (Ta $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_1) B_1)) (tptp.hBOOL (tptp.hAPP_f115998247l_bool (tptp.hAPP_P1876494581l_bool tptp.member180897546at_nat (tptp.hAPP_P369611207at_nat (tptp.hAPP_P402336767at_nat tptp.produc494345619at_nat (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat A_1) Sb)) (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat B_1) Ta))) tptp.pair_less)))) (forall ((Sb $$unsorted) (Ta $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Sb) Ta)) (tptp.hBOOL (tptp.hAPP_f115998247l_bool (tptp.hAPP_P1876494581l_bool tptp.member180897546at_nat (tptp.hAPP_P369611207at_nat (tptp.hAPP_P402336767at_nat tptp.produc494345619at_nat (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat A_1) Sb)) (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat B_1) Ta))) tptp.pair_leq))))) (forall ((Sb $$unsorted) (Ta $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat A_1) B_1)) (tptp.hBOOL (tptp.hAPP_f115998247l_bool (tptp.hAPP_P1876494581l_bool tptp.member180897546at_nat (tptp.hAPP_P369611207at_nat (tptp.hAPP_P402336767at_nat tptp.produc494345619at_nat (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat A_1) Sb)) (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat B_1) Ta))) tptp.pair_leq)))) (forall ((Y $$unsorted) (X $$unsorted)) (exists ((R_1 $$unsorted) (A_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real R_1))) (and (= X (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real tptp.cos A_2))) (= Y (tptp.hAPP_real_real _let_1 (tptp.hAPP_real_real tptp.sin A_2))))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_real_real (tptp.dist_dist_real X) Y) (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real X) Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_complex_real (tptp.dist_dist_complex X) Y) (tptp.hAPP_complex_real tptp.norm_norm_complex (tptp.hAPP_complex_complex (tptp.hAPP_c172932010omplex tptp.minus_minus_complex X) Y)))) (forall ((F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) B_1)) (=> (forall ((X_1 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) X_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_1) B_1))) (exists ((Y_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real F X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y_1)))))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real F A_1)) (tptp.hAPP_real_real F B_1)))))) (forall ((F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) B_1)) (=> (forall ((X_1 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) X_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_1) B_1))) (exists ((Y_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real F X_1) Y_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Y_1) tptp.zero_zero_real)))))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real F B_1)) (tptp.hAPP_real_real F A_1)))))) (forall ((Z_1 $$unsorted)) (=> (tptp.is_int Z_1) (=> (forall ((N_1 $$unsorted)) (not (= Z_1 (tptp.hAPP_nat_int tptp.semiri1621563631at_int N_1)))) (not (forall ((N_1 $$unsorted)) (not (= Z_1 (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat tptp.suc N_1)))))))))) (forall ((Z_2 $$unsorted) (P_1 $$unsorted)) (=> (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_nat_int tptp.semiri1621563631at_int N_1)))) (=> (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int tptp.uminus_uminus_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat tptp.suc N_1)))))) (tptp.hBOOL (tptp.hAPP_int_bool P_1 Z_2))))) (forall ((Ma $$unsorted) (Na $$unsorted) (P_1 $$unsorted)) (=> (forall ((M_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool P_1 M_1) tptp.zero_zero_nat))) (=> (forall ((M_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) N_1)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool P_1 N_1) (tptp.hAPP_nat_nat (tptp.div_mod_nat M_1) N_1))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool P_1 M_1) N_1))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool P_1 Ma) Na))))) (forall ((N $$unsorted) (P_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.one_one_nat) P_3)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat P_3) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.dvd_dvd_nat P_3) (tptp.hAPP_nat_nat tptp.fact N)))))) (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.div_mo231679042de_int N) M) (tptp.hAPP_i1732201573de_int tptp.quickcheck_of_int (tptp.hAPP_int_int (tptp.div_mod_int (tptp.quickcheck_int_of N)) (tptp.quickcheck_int_of M))))) _let_54 (forall ((N $$unsorted)) (=> (tptp.is_int N) (= (tptp.quickcheck_int_of (tptp.hAPP_i1732201573de_int tptp.quickcheck_of_int N)) N))) (forall ((K_2 $$unsorted)) (= (tptp.hAPP_i1732201573de_int tptp.quickcheck_of_int (tptp.quickcheck_int_of K_2)) K_2)) (forall ((X $$unsorted)) (= (tptp.hAPP_i1732201573de_int tptp.quickcheck_of_int (tptp.quickcheck_int_of X)) X)) (forall ((Na $$unsorted) (Ma $$unsorted)) (=> (and (tptp.is_int Na) (tptp.is_int Ma)) (= (= (tptp.hAPP_i1732201573de_int tptp.quickcheck_of_int Na) (tptp.hAPP_i1732201573de_int tptp.quickcheck_of_int Ma)) (= Na Ma)))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M) N)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.fact M)) (tptp.hAPP_nat_nat tptp.fact N))))) (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.times_123202395de_int N) M) (tptp.hAPP_i1732201573de_int tptp.quickcheck_of_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.quickcheck_int_of N)) (tptp.quickcheck_int_of M))))) (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.plus_p1446045655de_int N) M) (tptp.hAPP_i1732201573de_int tptp.quickcheck_of_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.quickcheck_int_of N)) (tptp.quickcheck_int_of M))))) (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.minus_534354567de_int N) M) (tptp.hAPP_i1732201573de_int tptp.quickcheck_of_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.quickcheck_int_of N)) (tptp.quickcheck_int_of M))))) (= tptp.zero_z891286103de_int (tptp.hAPP_i1732201573de_int tptp.quickcheck_of_int tptp.zero_zero_int)) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.hAPP_nat_nat tptp.fact N)))) (= (tptp.hAPP_nat_nat tptp.fact tptp.zero_zero_nat) tptp.one_one_nat) (forall ((N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc N))) (= (tptp.hAPP_nat_nat tptp.fact _let_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat _let_1) (tptp.hAPP_nat_nat tptp.fact N))))) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat tptp.one_one_nat) (tptp.hAPP_nat_nat tptp.fact N)))) (= tptp.one_on1684967323de_int (tptp.hAPP_i1732201573de_int tptp.quickcheck_of_int tptp.one_one_int)) (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.hAPP_Q1762011733de_int (tptp.hAPP_Q1729056540de_int tptp.div_di1430059507de_int N) M) (tptp.hAPP_i1732201573de_int tptp.quickcheck_of_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.quickcheck_int_of N)) (tptp.quickcheck_int_of M))))) (forall ((N $$unsorted)) (exists ((P_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool tptp.prime P_4)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat N) P_4)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat P_4) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.fact N))))))) (forall ((F $$unsorted)) (=> (forall ((I_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat F (tptp.hAPP_nat_nat tptp.suc I_2))) (tptp.hAPP_nat_nat F I_2)))) (exists ((I_2 $$unsorted)) (forall ((K_1 $$unsorted)) (= (tptp.hAPP_nat_nat F (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_2) K_1)) (tptp.hAPP_nat_nat F I_2)))))) (forall ((P_1 $$unsorted) (A0 $$unsorted) (A1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.accp_P2006205492nt_int tptp.norm_frac_rel) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int A0) A1))) (=> (forall ((A_2 $$unsorted) (B_4 $$unsorted)) (=> (and (tptp.is_int A_2) (tptp.is_int B_4)) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.accp_P2006205492nt_int tptp.norm_frac_rel) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int A_2) B_4))) (=> (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_4) tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool P_1 (tptp.hAPP_int_int tptp.uminus_uminus_int A_2)) (tptp.hAPP_int_int tptp.uminus_uminus_int B_4)))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool P_1 A_2) B_4)))))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool P_1 A0) A1))))) (forall ((P_1 $$unsorted) (A0 $$unsorted) (A1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.accp_P2006205492nt_int tptp.upto_rel) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int A0) A1))) (=> (forall ((I_2 $$unsorted) (J_1 $$unsorted)) (=> (and (tptp.is_int I_2) (tptp.is_int J_1)) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.accp_P2006205492nt_int tptp.upto_rel) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int I_2) J_1))) (=> (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int I_2) J_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool P_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int I_2) tptp.one_one_int)) J_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool P_1 I_2) J_1)))))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool P_1 A0) A1))))) (forall ((P_1 $$unsorted) (A0 $$unsorted) (A1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.accp_P2006205492nt_int tptp.lazy_small_lazy_rel) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int A0) A1))) (=> (forall ((D_2 $$unsorted) (I_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool P_1 D_2))) (=> (and (tptp.is_int D_2) (tptp.is_int I_2)) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.accp_P2006205492nt_int tptp.lazy_small_lazy_rel) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int D_2) I_2))) (=> (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int D_2) I_2))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int I_2) tptp.one_one_int)))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 I_2))))))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool P_1 A0) A1))))) (forall ((Ma $$unsorted)) (= (tptp.hAPP_i1948725293t_bool tptp.norRRset Ma) (tptp.hAPP_i1948725293t_bool (tptp.bnorRset (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Ma) tptp.one_one_int)) Ma))) (forall ((X $$unsorted)) (= (tptp.hAPP_int_real tptp.number267125858f_real X) (tptp.hAPP_int_real tptp.ring_1_of_int_real X))) (forall ((W $$unsorted)) (= (tptp.hAPP_int_int tptp.number_number_of_int W) (tptp.hAPP_int_int tptp.ring_1_of_int_int W))) (forall ((W $$unsorted)) (= (tptp.hAPP_int_complex tptp.number528085621omplex W) (tptp.hAPP_int_complex tptp.ring_11397209091omplex W))) (forall ((N $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_int tptp.semiri1621563631at_int N))) (= (tptp.hAPP_int_int tptp.ring_1_of_int_int _let_1) _let_1))) (forall ((Z_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_complex tptp.ring_11397209091omplex Z_1))) (= (tptp.hAPP_complex_complex tptp.cnj _let_1) _let_1))) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP_complex_real tptp.re (tptp.hAPP_int_complex tptp.ring_11397209091omplex Z_1)) (tptp.hAPP_int_real tptp.ring_1_of_int_real Z_1))) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP_complex_real tptp.im (tptp.hAPP_int_complex tptp.ring_11397209091omplex Z_1)) tptp.zero_zero_real)) _let_53 _let_53 (forall ((Ma $$unsorted)) (= (tptp.phi Ma) (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_i1948725293t_bool tptp.norRRset Ma)))) (forall ((A_1 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) Ma)) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd A_1) Ma) tptp.one_one_int) (exists ((X_1 $$unsorted)) (and (tptp.is_int X_1) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_1) X_1) Ma)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) (tptp.hAPP_i1948725293t_bool tptp.norRRset Ma))) (forall ((Y_1 $$unsorted)) (=> (tptp.is_int Y_1) (=> (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_1) Y_1) Ma)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Y_1) (tptp.hAPP_i1948725293t_bool tptp.norRRset Ma)))) (= Y_1 X_1))))))))) (forall ((Xa $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) Ma)) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd Xa) Ma) tptp.one_one_int) (= (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_i1948725293t_bool (tptp.noXRRset Ma) Xa)) (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_i1948725293t_bool tptp.norRRset Ma)))))) (forall ((Xa $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) Ma)) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd Xa) Ma) tptp.one_one_int) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.is_RRset (tptp.hAPP_i1948725293t_bool (tptp.noXRRset Ma) Xa)) Ma))))) (forall ((A_1 $$unsorted) (A $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.is_RRset A) Ma)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_1) A)) (= (tptp.hAPP_int_int (tptp.legacy_zgcd A_1) Ma) tptp.one_one_int)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted) (A $$unsorted) (Ma $$unsorted)) (=> (and (tptp.is_int A_1) (tptp.is_int B_1)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) Ma)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.is_RRset A) Ma)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_1) B_1) Ma)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_1) A)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int B_1) A)) (= A_1 B_1)))))))) (forall ((A_1 $$unsorted) (A $$unsorted) (Ma $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.rRset2norRR A Ma) A_1))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) Ma)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.is_RRset A) Ma)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_1) A)) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_1) _let_1) Ma)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int _let_1) (tptp.hAPP_i1948725293t_bool tptp.norRRset Ma))))))))) (forall ((A_1 $$unsorted) (A $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) Ma)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.is_RRset A) Ma)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_1) A)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.rRset2norRR A Ma) A_1)) (tptp.hAPP_i1948725293t_bool tptp.norRRset Ma))))))) (forall ((A_1 $$unsorted) (A $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) Ma)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.is_RRset A) Ma)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_1) A)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_1) (tptp.hAPP_int_int (tptp.rRset2norRR A Ma) A_1)) Ma)))))) (forall ((A $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.is_RRset A) Ma)) (and (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f628503027l_bool tptp.member_fun_int_bool A) (tptp.rsetR Ma))) (= (tptp.hAPP_f957591787ol_nat tptp.finite_card_int A) (tptp.phi Ma))))) (forall ((A $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) Ma)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.is_RRset A) Ma)) (= (tptp.image_int_int (tptp.rRset2norRR A Ma) A) (tptp.hAPP_i1948725293t_bool tptp.norRRset Ma))))) (forall ((A $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f628503027l_bool tptp.member_fun_int_bool A) (tptp.rsetR Ma))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)))) (forall ((A_1 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) Ma)) (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f628503027l_bool tptp.member_fun_int_bool (tptp.hAPP_i1948725293t_bool (tptp.bnorRset A_1) Ma)) (tptp.rsetR Ma))))) (forall ((F $$unsorted) (A $$unsorted) (Ma $$unsorted)) (let ((_let_1 (tptp.resSet Ma))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) Ma)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 A)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_int X_1) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) A)) (forall ((Xa_1 $$unsorted)) (=> (tptp.is_int Xa_1) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa_1) A)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.hAPP_int_int F X_1)) (tptp.hAPP_int_int F Xa_1)) Ma)) (= X_1 Xa_1)))))))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool _let_1 (tptp.image_int_int F A)))))))) (forall ((A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat A)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.image_nat_int tptp.semiri1621563631at_int A))))) (forall ((A $$unsorted)) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A) (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.image_nat_int tptp.semiri1621563631at_int A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (= A B) (= (tptp.image_nat_int tptp.semiri1621563631at_int A) (tptp.image_nat_int tptp.semiri1621563631at_int B)))) (forall ((Xa $$unsorted) (A $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat Xa) A)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int Xa)) (tptp.image_nat_int tptp.semiri1621563631at_int A))))) (forall ((A $$unsorted)) (= (tptp.image_int_nat tptp.nat (tptp.image_nat_int tptp.semiri1621563631at_int A)) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool A) B)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool (tptp.image_nat_int tptp.semiri1621563631at_int A)) (tptp.image_nat_int tptp.semiri1621563631at_int B))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) B)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool (tptp.image_nat_int tptp.semiri1621563631at_int A)) (tptp.image_nat_int tptp.semiri1621563631at_int B))))) (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (= (tptp.setS A_1 P_5) (tptp.image_275383677t_bool (tptp.multInvPair A_1 P_5) (tptp.hAPP_i1948725293t_bool tptp.sRStar P_5)))) (forall ((S $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat S))) (forall ((M_1 $$unsorted)) (exists ((N_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) N_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat N_1) S))))))) (forall ((S $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat S))) (forall ((M_1 $$unsorted)) (exists ((N_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) N_1)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat N_1) S))))))) (forall ((B $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.nat_nat_set A)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.nat_nat_set B)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le1912455174t_bool A) B)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le382113706t_bool (tptp.image_int_nat tptp.nat A)) (tptp.image_int_nat tptp.nat B))))))) (forall ((N_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat N_3)) (exists ((M_1 $$unsorted)) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) N_3)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat X_1) M_1))))))) (forall ((S $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.nat_nat_set S)) (forall ((X_1 $$unsorted)) (=> (tptp.is_int X_1) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) S)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X_1))))))) (forall ((Xa $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.nat_nat_set A)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) A)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Xa))))) (forall ((C_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.nat_nat_set (tptp.image_nat_int tptp.semiri1621563631at_int C_2)))) (forall ((B $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.nat_nat_set A)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.nat_nat_set B)) (= (= A B) (= (tptp.image_int_nat tptp.nat A) (tptp.image_int_nat tptp.nat B)))))) (forall ((A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.nat_nat_set A)) (= (tptp.image_nat_int tptp.semiri1621563631at_int (tptp.image_int_nat tptp.nat A)) A))) (forall ((A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.nat_nat_set A)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.image_int_nat tptp.nat A)))))) (forall ((A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.nat_nat_set A)) (= (tptp.hAPP_f957591787ol_nat tptp.finite_card_int A) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.image_int_nat tptp.nat A))))) (forall ((B $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.nat_nat_set A)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.nat_nat_set B)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool A) B)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool (tptp.image_int_nat tptp.nat A)) (tptp.image_int_nat tptp.nat B))))))) (forall ((N_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat N_3)) (exists ((M_1 $$unsorted)) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) N_3)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) M_1))))))) (forall ((Na $$unsorted) (N_3 $$unsorted)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) N_3)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) Na)))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat N_3)))) (forall ((L $$unsorted) (U $$unsorted)) (= (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_i1948725293t_bool (tptp.ord_gr1297742076an_int L) U)) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int U) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int L) tptp.one_one_int))))) (forall ((L $$unsorted) (U $$unsorted)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.hAPP_i1948725293t_bool (tptp.ord_gr1297742076an_int L) U)))) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1501066425l_bool (tptp.hAPP_r1130899993l_bool tptp.member_real Xa) tptp.field_1210416355s_real)) (not (forall ((M_1 $$unsorted) (N_1 $$unsorted)) (=> (not (= N_1 tptp.zero_zero_nat)) (=> (= (tptp.hAPP_real_real tptp.abs_abs_real Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_nat_real tptp.real_nat M_1)) (tptp.hAPP_nat_real tptp.real_nat N_1))) (not (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat M_1) N_1) tptp.one_one_nat)))))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_int_int (tptp.int_lcm X) Y) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.nat_lcm (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int tptp.abs_abs_int X))) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int tptp.abs_abs_int Y)))))) (forall ((L $$unsorted) (U $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.hAPP_n1699378549t_bool (tptp.ord_gr660468384an_nat L) U)))) (forall ((Na $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1501066425l_bool (tptp.hAPP_r1130899993l_bool tptp.member_real (tptp.hAPP_nat_real tptp.real_nat Na)) tptp.field_1210416355s_real))) (forall ((L $$unsorted) (U $$unsorted)) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_n1699378549t_bool (tptp.ord_gr660468384an_nat L) U)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat U) (tptp.hAPP_nat_nat tptp.suc L)))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Xa)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) Ya)) (exists ((X_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f1501066425l_bool (tptp.hAPP_r1130899993l_bool tptp.member_real X_1) tptp.field_1210416355s_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) X_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_1) Ya))))))) (forall ((F $$unsorted) (Ya $$unsorted) (Xa $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool (tptp.ord_gr788844697n_real A_1) B_1))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP_f1501066425l_bool (tptp.hAPP_r1130899993l_bool tptp.member_real Xa) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_f1501066425l_bool (tptp.hAPP_r1130899993l_bool tptp.member_real Ya) _let_1)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1501066425l_bool (tptp.hAPP_r1130899993l_bool tptp.member_real X_1) (tptp.hAPP_r1134773055l_bool (tptp.ord_gr788844697n_real A_1) B_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real F X_1) tptp.zero_zero_real)))) (= (tptp.hAPP_real_real F Xa) (tptp.hAPP_real_real F Ya)))))))) (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool tptp.iszero_rat (tptp.hAPP_int_rat tptp.number_number_of_rat K))) (tptp.hBOOL (tptp.hAPP_int_bool tptp.iszero_int (tptp.hAPP_int_int tptp.number_number_of_int K))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) Ya)) (exists ((X_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f1501066425l_bool (tptp.hAPP_r1130899993l_bool tptp.member_real X_1) tptp.field_1210416355s_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) X_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_1) Ya)))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Ya) Xa)) (= (tptp.comple124823625p_real (tptp.hAPP_r1134773055l_bool (tptp.ord_gr788844697n_real Ya) Xa)) Xa))) (forall ((Xa $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1501066425l_bool (tptp.hAPP_r1130899993l_bool tptp.member_real Xa) X_2)) (=> (exists ((Z $$unsorted)) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1501066425l_bool (tptp.hAPP_r1130899993l_bool tptp.member_real X_1) X_2)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_1) Z))))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) (tptp.comple124823625p_real X_2)))))) (forall ((Z_2 $$unsorted) (Xa $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1501066425l_bool (tptp.hAPP_r1130899993l_bool tptp.member_real Xa) X_2)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1501066425l_bool (tptp.hAPP_r1130899993l_bool tptp.member_real X_1) X_2)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_1) Z_2)))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) (tptp.comple124823625p_real X_2)))))) (forall ((K_2 $$unsorted)) (= (tptp.frct (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int tptp.one_one_int) (tptp.hAPP_int_int tptp.number_number_of_int K_2))) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.inverse_divide_rat tptp.one_one_rat) (tptp.hAPP_int_rat tptp.number_number_of_rat K_2)))) (forall ((Q_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_rat tptp.sgn_sgn_rat Q_1))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) Q_1)))) (let ((_let_3 (= Q_1 tptp.zero_zero_rat))) (and (=> _let_3 (= _let_1 tptp.zero_zero_rat)) (=> (not _let_3) (and (=> _let_2 (= _let_1 tptp.one_one_rat)) (=> (not _let_2) (= _let_1 (tptp.hAPP_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)))))))))) (forall ((Q_1 $$unsorted) (R_2 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.inverse_divide_rat Q_1) R_2) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat Q_1) (tptp.hAPP_rat_rat tptp.inverse_inverse_rat R_2)))) (forall ((K_2 $$unsorted)) (= (tptp.frct (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int K_2) tptp.zero_zero_int)) tptp.zero_zero_rat)) (forall ((K_2 $$unsorted)) (= (tptp.frct (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int tptp.zero_zero_int) K_2)) tptp.zero_zero_rat)) (= (tptp.frct _let_52) tptp.one_one_rat) (forall ((K_2 $$unsorted) (L_2 $$unsorted)) (= (tptp.frct (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int (tptp.hAPP_int_int tptp.number_number_of_int K_2)) (tptp.hAPP_int_int tptp.number_number_of_int L_2))) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.inverse_divide_rat (tptp.hAPP_int_rat tptp.number_number_of_rat K_2)) (tptp.hAPP_int_rat tptp.number_number_of_rat L_2)))) (forall ((K_2 $$unsorted)) (= (tptp.frct (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int (tptp.hAPP_int_int tptp.number_number_of_int K_2)) tptp.one_one_int)) (tptp.hAPP_int_rat tptp.number_number_of_rat K_2))) (forall ((Z_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1501066425l_bool (tptp.hAPP_r1130899993l_bool tptp.member_real Z_2) X_2)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1501066425l_bool (tptp.hAPP_r1130899993l_bool tptp.member_real X_1) X_2)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_1) Z_2)))) (= (tptp.comple124823625p_real X_2) Z_2)))) (forall ((Z_2 $$unsorted) (Ya $$unsorted) (Xa $$unsorted) (X_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Ya))) (=> (tptp.hBOOL (tptp.hAPP_f1501066425l_bool (tptp.hAPP_r1130899993l_bool tptp.member_real Xa) X_2)) (=> (tptp.hBOOL (tptp.hAPP_real_bool _let_1 Xa)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1501066425l_bool (tptp.hAPP_r1130899993l_bool tptp.member_real X_1) X_2)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_1) Z_2)))) (tptp.hBOOL (tptp.hAPP_real_bool _let_1 (tptp.comple124823625p_real X_2)))))))) (forall ((Q_1 $$unsorted) (R_2 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat Q_1) R_2) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat Q_1) (tptp.hAPP_rat_rat tptp.uminus_uminus_rat R_2)))) (forall ((Q_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_rat_rat tptp.abs_abs_rat Q_1))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Q_1) tptp.zero_zero_rat)))) (and (=> _let_2 (= _let_1 (tptp.hAPP_rat_rat tptp.uminus_uminus_rat Q_1))) (=> (not _let_2) (= _let_1 Q_1)))))) (forall ((Z_2 $$unsorted) (Wa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Z_2) Wa)) (and (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Z_2) Wa)) (not (= Z_2 Wa))))) (forall ((R_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) R_2)) (not (forall ((S_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) S_2)) (forall ((T $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) T)) (not (= R_2 (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat S_2) T)))))))))) (forall ((P_3 $$unsorted)) (= (tptp.quotient_of (tptp.hAPP_rat_rat tptp.sgn_sgn_rat P_3)) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int (tptp.hAPP_int_int tptp.sgn_sgn_int (tptp.hAPP_P1175774780nt_int tptp.product_fst_int_int (tptp.quotient_of P_3)))) tptp.one_one_int))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.quotient_of A_1) (tptp.quotient_of B_1)) (= A_1 B_1))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (=> (= (tptp.quotient_of A_3) (tptp.quotient_of B_2)) (= A_3 B_2))) (forall ((R_2 $$unsorted) (P_3 $$unsorted) (Q_1 $$unsorted)) (=> (= (tptp.quotient_of R_2) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int P_3) Q_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) Q_1)))) (= (tptp.quotient_of tptp.one_one_rat) _let_52) (= (tptp.quotient_of tptp.zero_zero_rat) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int tptp.zero_zero_int) tptp.one_one_int)) (forall ((K_2 $$unsorted)) (= (tptp.quotient_of (tptp.hAPP_int_rat tptp.number_number_of_rat K_2)) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int (tptp.hAPP_int_int tptp.number_number_of_int K_2)) tptp.one_one_int))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.nat_lcm X) Y) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat X) Y)) (tptp.hAPP_nat_nat (tptp.nat_gcd X) Y)))) (forall ((P_3 $$unsorted) (Q_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Q_1) tptp.zero_zero_int)) (= (tptp.normalize (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int P_3) Q_1)) (tptp.normalize (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int (tptp.hAPP_int_int tptp.uminus_uminus_int P_3)) (tptp.hAPP_int_int tptp.uminus_uminus_int Q_1)))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat X) Y) (tptp.hAPP_nat_nat (tptp.nat_gcd X) Y))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.nat_gcd X) Y))) (let ((_let_2 (= Y tptp.zero_zero_nat))) (and (=> _let_2 (= _let_1 X)) (=> (not _let_2) (= _let_1 (tptp.hAPP_nat_nat (tptp.nat_gcd Y) (tptp.hAPP_nat_nat (tptp.div_mod_nat X) Y)))))))) (forall ((P_3 $$unsorted)) (= (tptp.normalize (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int P_3) tptp.zero_zero_int)) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int tptp.zero_zero_int) tptp.one_one_int))) (forall ((R_2 $$unsorted) (P_3 $$unsorted) (Q_1 $$unsorted)) (=> (= (tptp.normalize R_2) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int P_3) Q_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) Q_1)))) (forall ((P_3 $$unsorted) (R_2 $$unsorted) (S_1 $$unsorted) (Q_1 $$unsorted)) (=> (and (tptp.is_int S_1) (tptp.is_int Q_1)) (=> (not (= Q_1 tptp.zero_zero_int)) (=> (not (= S_1 tptp.zero_zero_int)) (=> (= (tptp.normalize (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int P_3) Q_1)) (tptp.normalize (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int R_2) S_1))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int P_3) S_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int R_2) Q_1))))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.nat_gcd Xa) Ya))) (let ((_let_2 (= Ya tptp.zero_zero_nat))) (=> (tptp.hBOOL (tptp.hAPP_P1555980039t_bool (tptp.accp_P490777396at_nat tptp.nat_gcd_rel) (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat Xa) Ya))) (and (=> _let_2 (= _let_1 Xa)) (=> (not _let_2) (= _let_1 (tptp.hAPP_nat_nat (tptp.nat_gcd Ya) (tptp.hAPP_nat_nat (tptp.div_mod_nat Xa) Ya))))))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.int_gcd X) Y) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.nat_gcd (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int tptp.abs_abs_int X))) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int tptp.abs_abs_int Y)))))) (forall ((P_1 $$unsorted) (A0 $$unsorted) (A1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1555980039t_bool (tptp.accp_P490777396at_nat tptp.nat_gcd_rel) (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat A0) A1))) (=> (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1555980039t_bool (tptp.accp_P490777396at_nat tptp.nat_gcd_rel) (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat X_1) Y_1))) (=> (=> (not (= Y_1 tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool P_1 Y_1) (tptp.hAPP_nat_nat (tptp.div_mod_nat X_1) Y_1)))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool P_1 X_1) Y_1))))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool P_1 A0) A1))))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_P1175774780nt_int tptp.product_snd_int_int Xa))) (let ((_let_2 (tptp.hAPP_P1175774780nt_int tptp.product_snd_int_int Ya))) (= (tptp.hBOOL (tptp.hAPP_f526364711l_bool (tptp.hAPP_P1062890741l_bool tptp.member2143287562nt_int (tptp.hAPP_P230595783nt_int (tptp.hAPP_P941956607nt_int tptp.produc883642259nt_int Xa) Ya)) tptp.ratrel)) (and (not (= _let_1 tptp.zero_zero_int)) (not (= _let_2 tptp.zero_zero_int)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_P1175774780nt_int tptp.product_fst_int_int Xa)) _let_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_P1175774780nt_int tptp.product_fst_int_int Ya)) _let_1))))))) (forall ((K_2 $$unsorted)) (= (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract tptp.one_one_int) (tptp.hAPP_int_int tptp.number_number_of_int K_2)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.inverse_divide_rat tptp.one_one_rat) (tptp.hAPP_int_rat tptp.number_number_of_rat K_2)))) (forall ((R_2 $$unsorted) (S_1 $$unsorted)) (= (tptp.ratreal (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.inverse_divide_rat (tptp.hAPP_int_rat tptp.number_number_of_rat R_2)) (tptp.hAPP_int_rat tptp.number_number_of_rat S_1))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_int_real tptp.number267125858f_real R_2)) (tptp.hAPP_int_real tptp.number267125858f_real S_1)))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (P_3 $$unsorted) (Q_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_3) B_2))) (=> (= (tptp.quotient_of _let_1) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int P_3) Q_1)) (= (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract P_3) Q_1) _let_1)))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP_rat_rat tptp.uminus_uminus_rat (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_3) B_2)) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract (tptp.hAPP_int_int tptp.uminus_uminus_int A_3)) B_2))) (forall ((A_3 $$unsorted)) (= (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_3) tptp.zero_zero_int) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract tptp.zero_zero_int) tptp.one_one_int))) (forall ((A_1 $$unsorted) (C $$unsorted) (D_1 $$unsorted) (B_1 $$unsorted)) (=> (and (tptp.is_int D_1) (tptp.is_int B_1)) (=> (not (= B_1 tptp.zero_zero_int)) (=> (not (= D_1 tptp.zero_zero_int)) (= (= (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_1) B_1) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract C) D_1)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_1) D_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int C) B_1))))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (C_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int C_1))) (=> (tptp.is_int C_1) (=> (not (= C_1 tptp.zero_zero_int)) (= (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract (tptp.hAPP_int_int _let_1 A_3)) (tptp.hAPP_int_int _let_1 B_2)) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_3) B_2)))))) (forall ((A_3 $$unsorted) (C_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_rat tptp.fract tptp.zero_zero_int))) (= (tptp.hAPP_int_rat _let_1 A_3) (tptp.hAPP_int_rat _let_1 C_1)))) (forall ((K_2 $$unsorted)) (= (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract K_2) tptp.zero_zero_int) tptp.zero_zero_rat)) (forall ((K_2 $$unsorted)) (= (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract tptp.zero_zero_int) K_2) tptp.zero_zero_rat)) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP_rat_rat tptp.inverse_inverse_rat (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_3) B_2)) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract B_2) A_3))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract (tptp.hAPP_int_int tptp.uminus_uminus_int A_3)) (tptp.hAPP_int_int tptp.uminus_uminus_int B_2)) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_3) B_2))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (C_1 $$unsorted) (D_3 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.inverse_divide_rat (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_3) B_2)) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract C_1) D_3)) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) D_3)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2) C_1)))) (forall ((X $$unsorted)) (= (tptp.archim1246769320r_real (tptp.ratreal X)) (tptp.archim791455193or_rat X))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.archim791455193or_rat (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_3) B_2)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) B_2))) (forall ((K_2 $$unsorted)) (= (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract K_2) tptp.one_one_int) (tptp.hAPP_int_rat tptp.ring_1_of_int_rat K_2))) (forall ((K_2 $$unsorted)) (= (tptp.hAPP_int_rat tptp.ring_1_of_int_rat K_2) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract K_2) tptp.one_one_int))) (forall ((K_2 $$unsorted) (L_2 $$unsorted)) (= (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract K_2) L_2) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.inverse_divide_rat (tptp.hAPP_int_rat tptp.ring_1_of_int_rat K_2)) (tptp.hAPP_int_rat tptp.ring_1_of_int_rat L_2)))) (= _let_51 tptp.one_one_rat) (= tptp.one_one_rat _let_51) (forall ((K_2 $$unsorted)) (= (tptp.hAPP_nat_rat tptp.semiri151668891at_rat K_2) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract (tptp.hAPP_nat_int tptp.semiri1621563631at_int K_2)) tptp.one_one_int))) (forall ((K_2 $$unsorted)) (= (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract (tptp.hAPP_nat_int tptp.semiri1621563631at_int K_2)) tptp.one_one_int) (tptp.hAPP_nat_rat tptp.semiri151668891at_rat K_2))) (forall ((W $$unsorted)) (= (tptp.hAPP_int_rat tptp.number_number_of_rat W) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract W) tptp.one_one_int))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (C_1 $$unsorted) (D_3 $$unsorted)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_3) B_2)) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract C_1) D_3)) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) C_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2) D_3)))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP_rat_rat tptp.abs_abs_rat (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_3) B_2)) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract (tptp.hAPP_int_int tptp.abs_abs_int A_3)) (tptp.hAPP_int_int tptp.abs_abs_int B_2)))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (P_3 $$unsorted) (Q_1 $$unsorted)) (=> (= (tptp.normalize (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int A_3) B_2)) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int P_3) Q_1)) (= (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract P_3) Q_1) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_3) B_2)))) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.ratreal Xa)) (tptp.ratreal Ya))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Xa) Ya)))) (= _let_50 tptp.zero_zero_real) (= tptp.zero_zero_real _let_50) (forall ((K_2 $$unsorted)) (= (tptp.hAPP_int_real tptp.number267125858f_real K_2) (tptp.ratreal (tptp.hAPP_int_rat tptp.number_number_of_rat K_2)))) (forall ((K_2 $$unsorted)) (= (tptp.ratreal (tptp.hAPP_int_rat tptp.number_number_of_rat K_2)) (tptp.hAPP_int_real tptp.number267125858f_real K_2))) (= tptp.one_one_real _let_49) (= _let_49 tptp.one_one_real) (forall ((Xa $$unsorted) (Ya $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.ratreal Xa)) (tptp.ratreal Ya))) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat Xa) Ya)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.ratreal X)) (tptp.ratreal Y)) (tptp.ratreal (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat X) Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.ratreal X)) (tptp.ratreal Y)) (tptp.ratreal (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat X) Y)))) (forall ((X $$unsorted)) (= (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.ratreal X)) (tptp.ratreal (tptp.hAPP_rat_rat tptp.uminus_uminus_rat X)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.ratreal X)) (tptp.ratreal Y)) (tptp.ratreal (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.inverse_divide_rat X) Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.ratreal X)) (tptp.ratreal Y)) (tptp.ratreal (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.times_times_rat X) Y)))) (forall ((X $$unsorted)) (= (tptp.hAPP_real_real tptp.inverse_inverse_real (tptp.ratreal X)) (tptp.ratreal (tptp.hAPP_rat_rat tptp.inverse_inverse_rat X)))) (= tptp.zero_zero_rat (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract tptp.zero_zero_int) tptp.one_one_int)) (forall ((K_2 $$unsorted)) (= (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract (tptp.hAPP_int_int tptp.number_number_of_int K_2)) tptp.one_one_int) (tptp.hAPP_int_rat tptp.number_number_of_rat K_2))) (forall ((K_2 $$unsorted)) (= (tptp.hAPP_int_rat tptp.number_number_of_rat K_2) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract (tptp.hAPP_int_int tptp.number_number_of_int K_2)) tptp.one_one_int))) (forall ((K_2 $$unsorted) (L_2 $$unsorted)) (= (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract (tptp.hAPP_int_int tptp.number_number_of_int K_2)) (tptp.hAPP_int_int tptp.number_number_of_int L_2)) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.inverse_divide_rat (tptp.hAPP_int_rat tptp.number_number_of_rat K_2)) (tptp.hAPP_int_rat tptp.number_number_of_rat L_2)))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.quotient_of (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_3) B_2)) (tptp.normalize (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int A_3) B_2)))) (forall ((P_3 $$unsorted)) (= (tptp.frct P_3) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract (tptp.hAPP_P1175774780nt_int tptp.product_fst_int_int P_3)) (tptp.hAPP_P1175774780nt_int tptp.product_snd_int_int P_3)))) (forall ((A_1 $$unsorted) (C $$unsorted) (D_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_1) D_1))) (=> (and (tptp.is_int D_1) (tptp.is_int B_1)) (=> (not (= B_1 tptp.zero_zero_int)) (=> (not (= D_1 tptp.zero_zero_int)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_1) B_1)) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract C) D_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_1) D_1)) _let_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int C) B_1)) _let_1))))))))) (forall ((R_2 $$unsorted) (S_1 $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.ratreal (tptp.hAPP_int_rat tptp.number_number_of_rat R_2))) (tptp.ratreal (tptp.hAPP_int_rat tptp.number_number_of_rat S_1))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_int_real tptp.number267125858f_real R_2)) (tptp.hAPP_int_real tptp.number267125858f_real S_1)))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP_rat_rat tptp.sgn_sgn_rat (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_3) B_2)) (tptp.hAPP_int_rat tptp.ring_1_of_int_rat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.sgn_sgn_int A_3)) (tptp.hAPP_int_int tptp.sgn_sgn_int B_2))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_1)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_1) B_1))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_1)))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_1)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_1) B_1)) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) tptp.zero_zero_int))))) (forall ((A_1 $$unsorted) (C $$unsorted) (D_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_1) D_1))) (=> (and (tptp.is_int D_1) (tptp.is_int B_1)) (=> (not (= B_1 tptp.zero_zero_int)) (=> (not (= D_1 tptp.zero_zero_int)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_1) B_1)) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract C) D_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_1) D_1)) _let_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int C) B_1)) _let_1))))))))) (forall ((A_3 $$unsorted) (C_1 $$unsorted) (D_3 $$unsorted) (B_2 $$unsorted)) (=> (and (tptp.is_int D_3) (tptp.is_int B_2)) (=> (not (= B_2 tptp.zero_zero_int)) (=> (not (= D_3 tptp.zero_zero_int)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_3) B_2)) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract C_1) D_3)) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) D_3)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int C_1) B_2))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2) D_3))))))) (forall ((A_3 $$unsorted) (C_1 $$unsorted) (D_3 $$unsorted) (B_2 $$unsorted)) (=> (and (tptp.is_int D_3) (tptp.is_int B_2)) (=> (not (= B_2 tptp.zero_zero_int)) (=> (not (= D_3 tptp.zero_zero_int)) (= (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.minus_minus_rat (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_3) B_2)) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract C_1) D_3)) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) D_3)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int C_1) B_2))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_2) D_3))))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_1)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_1) B_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_1) A_1))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_1)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_1) B_1)) tptp.one_one_rat)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) B_1))))) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.is_int N) (=> (not (= N tptp.zero_zero_int)) (= (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int M) N)) N) (tptp.hAPP_rat_rat (tptp.hAPP_rat_fun_rat_rat tptp.plus_plus_rat (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract M) N)) tptp.one_one_rat))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_1)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_1) B_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) A_1))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_1)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_1) B_1)) tptp.zero_zero_rat)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_1) tptp.zero_zero_int))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) B_2))) (let ((_let_2 (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_3) B_2))) (and (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_int_rat tptp.ring_1_of_int_rat _let_1)) _let_2)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat _let_2) (tptp.hAPP_int_rat tptp.ring_1_of_int_rat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int _let_1) tptp.one_one_int)))))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_1)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_1) B_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int B_1) A_1))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_1)) (= (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_eq_rat (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_1) B_1)) tptp.one_one_rat)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int A_1) B_1))))) (forall ((Q_2 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_2 $$unsorted) (B_4 $$unsorted)) (=> (and (tptp.is_int A_2) (tptp.is_int B_4)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_4)) (tptp.hBOOL (tptp.hAPP_rat_bool P_1 (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_2) B_4)))))) (tptp.hBOOL (tptp.hAPP_rat_bool P_1 Q_2)))) (forall ((Na $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1501066425l_bool (tptp.hAPP_r1130899993l_bool tptp.member_real (tptp.hAPP_nat_real tptp.real_nat Na)) tptp.ring_1_Ints_real))) (forall ((Xa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f1501066425l_bool (tptp.hAPP_r1130899993l_bool tptp.member_real (tptp.hAPP_int_real tptp.real_int Xa)) tptp.ring_1_Ints_real))) (forall ((B_1 $$unsorted) (Q_2 $$unsorted) (Ra $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) Q_2))) (let ((_let_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Ra) B_1))) (= (tptp.hAPP_P1975530577nt_int (tptp.adjust B_1) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int Q_2) Ra)) (tptp.hAPP_P1975530577nt_int (tptp.hAPP_P1145851913nt_int (tptp.hAPP_b40753821nt_int tptp.if_Pro1731782967nt_int (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) _let_2)) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int _let_1) tptp.one_one_int)) _let_2)) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int _let_1) Ra)))))) (forall ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (let ((_let_2 (tptp.hAPP_f1796904975t_real tptp.cOMBB_599996122l_real tptp.power_power_real))) (let ((_let_3 (tptp.hAPP_f1960414057l_real tptp.cOMBB_882763271l_real tptp.plus_plus_real))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_f1950183573l_real (tptp.hAPP_f2069516469l_real tptp.cOMBS_real_real_real (tptp.hAPP_f556082547l_real _let_3 (tptp.hAPP_n546711566l_real (tptp.hAPP_f248847589l_real tptp.cOMBC_real_nat_real (tptp.hAPP_f1407095736t_real _let_2 (tptp.hAPP_f1950183573l_real (tptp.hAPP_f2069516469l_real tptp.cOMBS_real_real_real (tptp.hAPP_f556082547l_real _let_3 (tptp.hAPP_f1950183573l_real (tptp.hAPP_f1992866895l_real tptp.cOMBB_real_real_real tptp.sin) tptp.uminus_uminus_real))) tptp.sin))) _let_1))) (tptp.hAPP_n546711566l_real (tptp.hAPP_f248847589l_real tptp.cOMBC_real_nat_real (tptp.hAPP_f1407095736t_real _let_2 (tptp.hAPP_f1950183573l_real (tptp.hAPP_f2069516469l_real tptp.cOMBS_real_real_real (tptp.hAPP_f556082547l_real (tptp.hAPP_f1960414057l_real tptp.cOMBB_882763271l_real tptp.minus_minus_real) (tptp.hAPP_f1950183573l_real (tptp.hAPP_f1992866895l_real tptp.cOMBB_real_real_real tptp.cos) tptp.uminus_uminus_real))) tptp.cos))) _let_1)) X_1) tptp.zero_zero_real)))))) (forall ((K $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) K))))) (forall ((K $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_eq_nat) K))))) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Xa)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) tptp.one_one_real)) (tptp.hBOOL (tptp.bseq_real (tptp.hAPP_r474017924t_real tptp.power_power_real Xa)))))) (forall ((K $$unsorted) (Xa $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_f1950183573l_real (tptp.hAPP_f1992866895l_real tptp.cOMBB_real_real_real tptp.cos) (tptp.hAPP_r1250527377l_real (tptp.hAPP_f203520653l_real tptp.cOMBC_real_real_real tptp.plus_plus_real) K)) Xa) (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real tptp.sin (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real Xa) K)))))) (forall ((P_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.nat_nat_set (tptp.collect_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool (tptp.hAPP_f2144054103l_bool (tptp.hAPP_f1734373249l_bool tptp.cOMBB_1652995168ol_int tptp.fconj) (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) P_1))))) (forall ((P_1 $$unsorted)) (= (tptp.collect_nat P_1) (tptp.image_int_nat tptp.nat (tptp.collect_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool (tptp.hAPP_f2144054103l_bool (tptp.hAPP_f1734373249l_bool tptp.cOMBB_1652995168ol_int tptp.fconj) (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (tptp.hAPP_f1448486952t_bool (tptp.hAPP_f696844121t_bool tptp.cOMBB_nat_bool_int P_1) tptp.nat)))))) (forall ((Na $$unsorted)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.collect_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool (tptp.hAPP_f2144054103l_bool (tptp.hAPP_f1734373249l_bool tptp.cOMBB_1652995168ol_int tptp.fconj) (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int))) (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f428220345t_bool tptp.cOMBC_int_int_bool tptp.ord_less_eq_int) Na)))))) (forall ((Na $$unsorted)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.collect_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool (tptp.hAPP_f2144054103l_bool (tptp.hAPP_f1734373249l_bool tptp.cOMBB_1652995168ol_int tptp.fconj) (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f428220345t_bool tptp.cOMBC_int_int_bool tptp.ord_less_int) Na)))))) (forall ((Na $$unsorted)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.collect_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool (tptp.hAPP_f2144054103l_bool (tptp.hAPP_f1734373249l_bool tptp.cOMBB_1652995168ol_int tptp.fconj) (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f428220345t_bool tptp.cOMBC_int_int_bool tptp.ord_less_eq_int) Na)))))) (forall ((Na $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Na)) (= (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.collect_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool (tptp.hAPP_f2144054103l_bool (tptp.hAPP_f1734373249l_bool tptp.cOMBB_1652995168ol_int tptp.fconj) _let_1)) (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f428220345t_bool tptp.cOMBC_int_int_bool tptp.ord_less_int) Na)))) (tptp.hAPP_int_nat tptp.nat Na))))) (forall ((Na $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Na)) (= (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.collect_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool (tptp.hAPP_f2144054103l_bool (tptp.hAPP_f1734373249l_bool tptp.cOMBB_1652995168ol_int tptp.fconj) (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int))) (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f428220345t_bool tptp.cOMBC_int_int_bool tptp.ord_less_eq_int) Na)))) (tptp.hAPP_int_nat tptp.nat Na)))) (forall ((X_1 $$unsorted)) (= (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat X_1) (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc X_1)))) (forall ((Z_2 $$unsorted) (Z_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Z_2) Z_3))) (let ((_let_2 (tptp.hAPP_int_nat tptp.nat Z_2))) (let ((_let_3 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat _let_2) (tptp.hAPP_int_nat tptp.nat Z_3)))) (let ((_let_4 (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg Z_3)))) (and (=> _let_4 (= _let_3 _let_2)) (=> (not _let_4) (= _let_3 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_b992065680at_nat tptp.if_nat (tptp.hAPP_int_bool tptp.nat_neg _let_1)) tptp.zero_zero_nat) (tptp.hAPP_int_nat tptp.nat _let_1)))))))))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.cos Xa)) (tptp.hAPP_real_real tptp.sin Xa)))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_f1950183573l_real (tptp.hAPP_f2069516469l_real tptp.cOMBS_real_real_real (tptp.hAPP_f556082547l_real (tptp.hAPP_f1960414057l_real tptp.cOMBB_882763271l_real tptp.times_times_real) tptp.sin)) tptp.sin) Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real _let_1) _let_1))))) (forall ((W $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat W))) (= (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 W)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat _let_1) _let_1)))) (forall ((K $$unsorted) (Xa $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_f1950183573l_real (tptp.hAPP_f1992866895l_real tptp.cOMBB_real_real_real tptp.sin) (tptp.hAPP_r1250527377l_real (tptp.hAPP_f203520653l_real tptp.cOMBC_real_real_real tptp.plus_plus_real) K)) Xa) (tptp.hAPP_real_real tptp.cos (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real Xa) K))))) (forall ((Na $$unsorted)) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_eq_nat) Na))) (tptp.hAPP_nat_nat tptp.suc Na))) (forall ((Xa $$unsorted)) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_eq_nat) Xa))) (tptp.hAPP_nat_nat tptp.suc Xa))) (forall ((Xa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_eq_nat) Xa))))) (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat tptp.prime)))) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.cauchy_complex X_2)) (tptp.hBOOL (tptp.cauchy_real (tptp.hAPP_f1290670424t_real (tptp.hAPP_f327026105t_real tptp.cOMBB_722610049al_nat tptp.re) X_2))))) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.cauchy_complex X_2)) (tptp.hBOOL (tptp.cauchy_real (tptp.hAPP_f1290670424t_real (tptp.hAPP_f327026105t_real tptp.cOMBB_722610049al_nat tptp.im) X_2))))) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.cauchy_complex X_2)) (tptp.hBOOL (tptp.cauchy_complex (tptp.hAPP_f1646117269omplex (tptp.hAPP_f1457396693omplex tptp.cOMBB_117013006ex_nat tptp.cnj) X_2))))) (forall ((Z_1 $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_nat_int tptp.power_power_int Z_1))) (let ((_let_2 (tptp.hAPP_nat_int _let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat W)))) (= (tptp.hAPP_nat_int _let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 W))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int _let_2) _let_2))))) (forall ((G $$unsorted) (Xa $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real G Xa) Ma)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_f1950183573l_real (tptp.hAPP_f1992866895l_real tptp.cOMBB_real_real_real tptp.sin) G) Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.cos (tptp.hAPP_real_real G Xa))) Ma))))) (forall ((Xa $$unsorted)) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) Xa))) Xa)) (forall ((Na $$unsorted)) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) Na))) Na)) (forall ((Na $$unsorted)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.collect_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool (tptp.hAPP_f2144054103l_bool (tptp.hAPP_f1734373249l_bool tptp.cOMBB_1652995168ol_int tptp.fconj) (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int))) (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f428220345t_bool tptp.cOMBC_int_int_bool tptp.ord_less_int) Na)))))) (forall ((Xa $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) Xa))))) (forall ((I_1 $$unsorted)) (=> (tptp.is_int I_1) (=> (not (= I_1 tptp.zero_zero_int)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.collect_int (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f428220345t_bool tptp.cOMBC_int_int_bool tptp.dvd_dvd_int) I_1))))))) (forall ((Ma $$unsorted)) (=> (not (= Ma tptp.zero_zero_nat)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.dvd_dvd_nat) Ma)))))) (forall ((G $$unsorted) (Xa $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real G Xa) Ma)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_f1950183573l_real (tptp.hAPP_f1992866895l_real tptp.cOMBB_real_real_real tptp.cos) G) Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real tptp.sin (tptp.hAPP_real_real G Xa)))) Ma))))) (forall ((P_1 $$unsorted) (I_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_f561022312t_bool tptp.cOMBS_nat_bool_bool (tptp.hAPP_f1146629647l_bool (tptp.hAPP_f1080886329l_bool tptp.cOMBB_1015721476ol_nat tptp.fconj) P_1)) (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) I_1)))))) (forall ((I_1 $$unsorted) (M_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_nat))) (let ((_let_2 (tptp.hAPP_f1080886329l_bool tptp.cOMBB_1015721476ol_nat tptp.fconj))) (=> (not (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat tptp.zero_zero_nat) M_2))) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.collect_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_f561022312t_bool tptp.cOMBS_nat_bool_bool (tptp.hAPP_f1146629647l_bool _let_2 (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1722879237t_bool tptp.cOMBC_226598744l_bool (tptp.hAPP_f66927821l_bool (tptp.hAPP_f2037783381l_bool tptp.cOMBB_1146692694ol_nat tptp.member_nat) tptp.suc)) M_2))) (tptp.hAPP_n1699378549t_bool _let_1 I_1)))) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.collect_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_f561022312t_bool tptp.cOMBS_nat_bool_bool (tptp.hAPP_f1146629647l_bool _let_2 (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1722879237t_bool tptp.cOMBC_226598744l_bool tptp.member_nat) M_2))) (tptp.hAPP_n1699378549t_bool _let_1 (tptp.hAPP_nat_nat tptp.suc I_1)))))))))) (forall ((I_1 $$unsorted) (M_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat tptp.zero_zero_nat) M_2)) (not (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.collect_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_f561022312t_bool tptp.cOMBS_nat_bool_bool (tptp.hAPP_f1146629647l_bool (tptp.hAPP_f1080886329l_bool tptp.cOMBB_1015721476ol_nat tptp.fconj) (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1722879237t_bool tptp.cOMBC_226598744l_bool tptp.member_nat) M_2))) (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_nat) (tptp.hAPP_nat_nat tptp.suc I_1))))) tptp.zero_zero_nat)))) (forall ((I_1 $$unsorted) (M_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool tptp.ord_less_nat))) (let ((_let_2 (tptp.hAPP_f1080886329l_bool tptp.cOMBB_1015721476ol_nat tptp.fconj))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat tptp.zero_zero_nat) M_2)) (= (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.collect_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_f561022312t_bool tptp.cOMBS_nat_bool_bool (tptp.hAPP_f1146629647l_bool _let_2 (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1722879237t_bool tptp.cOMBC_226598744l_bool (tptp.hAPP_f66927821l_bool (tptp.hAPP_f2037783381l_bool tptp.cOMBB_1146692694ol_nat tptp.member_nat) tptp.suc)) M_2))) (tptp.hAPP_n1699378549t_bool _let_1 I_1))))) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.collect_nat (tptp.hAPP_f800510211t_bool (tptp.hAPP_f561022312t_bool tptp.cOMBS_nat_bool_bool (tptp.hAPP_f1146629647l_bool _let_2 (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1722879237t_bool tptp.cOMBC_226598744l_bool tptp.member_nat) M_2))) (tptp.hAPP_n1699378549t_bool _let_1 (tptp.hAPP_nat_nat tptp.suc I_1)))))))))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.nat_tr160667106at_int tptp.semiri1621563631at_int) (tptp.cOMBK_bool_nat tptp.fTrue))) (forall ((Na $$unsorted)) (=> (tptp.is_int Na) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Na)) (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.collect_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool (tptp.hAPP_f2144054103l_bool (tptp.hAPP_f1734373249l_bool tptp.cOMBB_1652995168ol_int tptp.fconj) (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int))) (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f428220345t_bool tptp.cOMBC_int_int_bool tptp.ord_less_eq_int) Na))))) Na)))) (forall ((P_1 $$unsorted)) (= (tptp.collect_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool (tptp.hAPP_f2144054103l_bool (tptp.hAPP_f1734373249l_bool tptp.cOMBB_1652995168ol_int tptp.fconj) (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) P_1)) (tptp.image_nat_int tptp.semiri1621563631at_int (tptp.collect_nat (tptp.hAPP_f1154658180t_bool (tptp.hAPP_f1361476881t_bool tptp.cOMBB_int_bool_nat P_1) tptp.semiri1621563631at_int))))) (forall ((Ma $$unsorted) (Xa $$unsorted)) (= (tptp.hAPP_i1948725293t_bool (tptp.noXRRset Ma) Xa) (tptp.image_int_int (tptp.hAPP_int_fun_int_int (tptp.hAPP_f2135977429nt_int tptp.cOMBC_int_int_int tptp.times_times_int) Xa) (tptp.hAPP_i1948725293t_bool tptp.norRRset Ma)))) (forall ((Na $$unsorted) (G $$unsorted) (Xa $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real G Xa) Ma)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_n546711566l_real (tptp.hAPP_f248847589l_real tptp.cOMBC_real_nat_real (tptp.hAPP_f1407095736t_real (tptp.hAPP_f1796904975t_real tptp.cOMBB_599996122l_real tptp.power_power_real) G)) Na) Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat Na)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real G Xa)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat Na) tptp.one_one_nat)))) Ma))))) (forall ((Na $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Na)) (= (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.collect_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool (tptp.hAPP_f2144054103l_bool (tptp.hAPP_f1734373249l_bool tptp.cOMBB_1652995168ol_int tptp.fconj) _let_1)) (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f428220345t_bool tptp.cOMBC_int_int_bool tptp.ord_less_int) Na))))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Na) tptp.one_one_int))))) (forall ((Na $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Na)) (= (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.collect_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool (tptp.hAPP_f2144054103l_bool (tptp.hAPP_f1734373249l_bool tptp.cOMBB_1652995168ol_int tptp.fconj) _let_1)) (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f428220345t_bool tptp.cOMBC_int_int_bool tptp.ord_less_eq_int) Na)))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_int_nat tptp.nat Na)) tptp.one_one_nat))))) (forall ((Na $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Na)) (= (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.collect_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool (tptp.hAPP_f2144054103l_bool (tptp.hAPP_f1734373249l_bool tptp.cOMBB_1652995168ol_int tptp.fconj) _let_1)) (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f428220345t_bool tptp.cOMBC_int_int_bool tptp.ord_less_int) Na)))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_int_nat tptp.nat Na)) tptp.one_one_nat))))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real tptp.sin Xa))) (tptp.hAPP_real_real tptp.cos Xa)))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_f1950183573l_real (tptp.hAPP_f2069516469l_real tptp.cOMBS_real_real_real (tptp.hAPP_f556082547l_real (tptp.hAPP_f1960414057l_real tptp.cOMBB_882763271l_real tptp.times_times_real) tptp.cos)) tptp.cos) Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real _let_1) _let_1))))) (forall ((Va $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.pred Va)))) (let ((_let_2 (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg _let_1))))) (= (= (tptp.hAPP_int_nat tptp.number_number_of_nat Va) (tptp.hAPP_nat_nat tptp.suc Na)) (and _let_2 (=> _let_2 (= (tptp.hAPP_int_nat tptp.nat _let_1) Na))))))) (forall ((Na $$unsorted) (Va $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.pred Va)))) (let ((_let_2 (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg _let_1))))) (= (= (tptp.hAPP_nat_nat tptp.suc Na) (tptp.hAPP_int_nat tptp.number_number_of_nat Va)) (and _let_2 (=> _let_2 (= (tptp.hAPP_int_nat tptp.nat _let_1) Na))))))) (forall ((W $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat W))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit1 W)))) (let ((_let_3 (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg (tptp.hAPP_int_int tptp.number_number_of_int W))))) (and (=> _let_3 (= _let_2 tptp.zero_zero_nat)) (=> (not _let_3) (= _let_2 (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat _let_1) _let_1))))))))) (forall ((Na $$unsorted) (Xa $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_n546711566l_real (tptp.hAPP_f248847589l_real tptp.cOMBC_real_nat_real tptp.power_power_real) Na) Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat Na)) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Xa) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat Na) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))))))) (forall ((Xa $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_f1950183573l_real (tptp.hAPP_f2069516469l_real tptp.cOMBS_real_real_real (tptp.hAPP_f556082547l_real (tptp.hAPP_f1960414057l_real tptp.cOMBB_882763271l_real tptp.times_times_real) tptp.cos)) tptp.cos) Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 tptp.min))) (tptp.hAPP_real_real tptp.cos Xa))) (tptp.hAPP_real_real tptp.sin Xa))))) (forall ((Na $$unsorted) (Va $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.pred Va)))) (let ((_let_2 (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg _let_1))))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_nat_nat tptp.suc Na)) (tptp.hAPP_int_nat tptp.number_number_of_nat Va))) (and _let_2 (=> _let_2 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Na) (tptp.hAPP_int_nat tptp.nat _let_1))))))))) (forall ((Va $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.pred Va)))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_int_nat tptp.number_number_of_nat Va)) (tptp.hAPP_nat_nat tptp.suc Na))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg _let_1))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat (tptp.hAPP_int_nat tptp.nat _let_1)) Na)))))) (forall ((Na $$unsorted) (Va $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.pred Va)))) (let ((_let_2 (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg _let_1))))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc Na)) (tptp.hAPP_int_nat tptp.number_number_of_nat Va))) (and _let_2 (=> _let_2 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) (tptp.hAPP_int_nat tptp.nat _let_1))))))))) (forall ((Va $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.pred Va)))) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_int_nat tptp.number_number_of_nat Va)) (tptp.hAPP_nat_nat tptp.suc Na))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_neg _let_1))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_int_nat tptp.nat _let_1)) Na)))))) (forall ((X_2 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) Ma)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_f284875647l_bool tptp.ord_le951220754t_bool (tptp.image_int_int (tptp.standardRes Ma) X_2)) (tptp.collect_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool (tptp.hAPP_f2144054103l_bool (tptp.hAPP_f1734373249l_bool tptp.cOMBB_1652995168ol_int tptp.fconj) (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f428220345t_bool tptp.cOMBC_int_int_bool tptp.ord_less_int) Ma))))))) (forall ((Xa $$unsorted) (A $$unsorted) (Ma $$unsorted)) (let ((_let_1 (tptp.rsetR Ma))) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f628503027l_bool tptp.member_fun_int_bool A) _let_1)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) Ma)) (=> (= (tptp.hAPP_int_int (tptp.legacy_zgcd Xa) Ma) tptp.one_one_int) (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f628503027l_bool tptp.member_fun_int_bool (tptp.image_int_int (tptp.hAPP_int_fun_int_int (tptp.hAPP_f2135977429nt_int tptp.cOMBC_int_int_int tptp.times_times_int) Xa) A)) _let_1))))))) (forall ((Z_1 $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_nat_int tptp.power_power_int Z_1))) (let ((_let_2 (tptp.hAPP_nat_int _let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit1 W))))) (let ((_let_3 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_int_int tptp.number_number_of_int W))))) (let ((_let_4 (tptp.hAPP_nat_int _let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat W)))) (and (=> _let_3 (= _let_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Z_1) _let_4)) _let_4))) (=> (not _let_3) (= _let_2 tptp.one_one_int)))))))) (forall ((Xa $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_f1950183573l_real (tptp.hAPP_f2069516469l_real tptp.cOMBS_real_real_real (tptp.hAPP_f556082547l_real (tptp.hAPP_f1960414057l_real tptp.cOMBB_882763271l_real tptp.times_times_real) tptp.sin)) tptp.sin) Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_real_real tptp.cos Xa))) (tptp.hAPP_real_real tptp.sin Xa))))) (forall ((B_1 $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Xa)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.log B_1) Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.one_one_real) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.ln B_1)) Xa)))))) (forall ((Xa $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_f1950183573l_real (tptp.hAPP_f2069516469l_real tptp.cOMBS_real_real_real (tptp.hAPP_f556082547l_real (tptp.hAPP_f1960414057l_real tptp.cOMBB_882763271l_real tptp.times_times_real) tptp.cos)) tptp.cos) Xa) (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_real_real tptp.cos Xa))) (tptp.hAPP_real_real tptp.sin Xa)))))) (forall ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (let ((_let_2 (tptp.hAPP_f1796904975t_real tptp.cOMBB_599996122l_real tptp.power_power_real))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_f1950183573l_real (tptp.hAPP_f2069516469l_real tptp.cOMBS_real_real_real (tptp.hAPP_f556082547l_real (tptp.hAPP_f1960414057l_real tptp.cOMBB_882763271l_real tptp.plus_plus_real) (tptp.hAPP_n546711566l_real (tptp.hAPP_f248847589l_real tptp.cOMBC_real_nat_real (tptp.hAPP_f1407095736t_real _let_2 tptp.sin)) _let_1))) (tptp.hAPP_n546711566l_real (tptp.hAPP_f248847589l_real tptp.cOMBC_real_nat_real (tptp.hAPP_f1407095736t_real _let_2 tptp.cos)) _let_1)) X_1) tptp.zero_zero_real))))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_n546711566l_real (tptp.hAPP_f248847589l_real tptp.cOMBC_real_nat_real (tptp.hAPP_f1407095736t_real (tptp.hAPP_f1796904975t_real tptp.cOMBB_599996122l_real tptp.power_power_real) tptp.sin)) (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1)) Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real _let_1)) (tptp.hAPP_real_real tptp.cos Xa))) (tptp.hAPP_real_real tptp.sin Xa)))))) (forall ((Va $$unsorted) (V $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Va) (tptp.hAPP_int_int tptp.uminus_uminus_int V))))) (let ((_let_2 (tptp.hAPP_int_nat tptp.number_number_of_nat Va))) (let ((_let_3 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat _let_2) (tptp.hAPP_int_nat tptp.number_number_of_nat V)))) (let ((_let_4 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int V) tptp.pls)))) (and (=> _let_4 (= _let_3 _let_2)) (=> (not _let_4) (= _let_3 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_b992065680at_nat tptp.if_nat (tptp.hAPP_int_bool tptp.nat_neg _let_1)) tptp.zero_zero_nat) (tptp.hAPP_int_nat tptp.nat _let_1)))))))))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.cos Xa)) (tptp.hAPP_real_real tptp.sin Xa)))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_n546711566l_real (tptp.hAPP_f248847589l_real tptp.cOMBC_real_nat_real (tptp.hAPP_f1407095736t_real (tptp.hAPP_f1796904975t_real tptp.cOMBB_599996122l_real tptp.power_power_real) tptp.sin)) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real _let_1) _let_1))))) (forall ((Xa $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_n546711566l_real (tptp.hAPP_f248847589l_real tptp.cOMBC_real_nat_real (tptp.hAPP_f1407095736t_real (tptp.hAPP_f1796904975t_real tptp.cOMBB_599996122l_real tptp.power_power_real) tptp.cos)) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 tptp.min))) (tptp.hAPP_real_real tptp.cos Xa))) (tptp.hAPP_real_real tptp.sin Xa))))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_n546711566l_real (tptp.hAPP_f248847589l_real tptp.cOMBC_real_nat_real (tptp.hAPP_f1407095736t_real (tptp.hAPP_f1796904975t_real tptp.cOMBB_599996122l_real tptp.power_power_real) tptp.cos)) (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1)) Xa) (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real _let_1)) (tptp.hAPP_real_real tptp.cos Xa))) (tptp.hAPP_real_real tptp.sin Xa))))))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real tptp.sin Xa))) (tptp.hAPP_real_real tptp.cos Xa)))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_n546711566l_real (tptp.hAPP_f248847589l_real tptp.cOMBC_real_nat_real (tptp.hAPP_f1407095736t_real (tptp.hAPP_f1796904975t_real tptp.cOMBB_599996122l_real tptp.power_power_real) tptp.cos)) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real _let_1) _let_1))))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real tptp.cos Xa))) (=> (not (= _let_1 tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_f1950183573l_real (tptp.hAPP_f2069516469l_real tptp.cOMBS_real_real_real (tptp.hAPP_f556082547l_real (tptp.hAPP_f1960414057l_real tptp.cOMBB_882763271l_real tptp.inverse_divide_real) tptp.sin)) tptp.cos) Xa) (tptp.hAPP_real_real tptp.inverse_inverse_real (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real _let_1) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))))))) (forall ((Ya $$unsorted) (X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (let ((_let_2 (tptp.hAPP_real_real tptp.sin Ya))) (let ((_let_3 (tptp.hAPP_f1960414057l_real tptp.cOMBB_882763271l_real tptp.times_times_real))) (let ((_let_4 (tptp.hAPP_f203520653l_real tptp.cOMBC_real_real_real (tptp.hAPP_f556082547l_real _let_3 tptp.sin)))) (let ((_let_5 (tptp.hAPP_real_real tptp.cos Ya))) (let ((_let_6 (tptp.hAPP_f203520653l_real tptp.cOMBC_real_real_real (tptp.hAPP_f556082547l_real _let_3 tptp.cos)))) (let ((_let_7 (tptp.hAPP_f1960414057l_real tptp.cOMBB_882763271l_real tptp.minus_minus_real))) (let ((_let_8 (tptp.hAPP_r1250527377l_real (tptp.hAPP_f203520653l_real tptp.cOMBC_real_real_real tptp.plus_plus_real) Ya))) (let ((_let_9 (tptp.hAPP_f1796904975t_real tptp.cOMBB_599996122l_real tptp.power_power_real))) (let ((_let_10 (tptp.hAPP_f1960414057l_real tptp.cOMBB_882763271l_real tptp.plus_plus_real))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_f1950183573l_real (tptp.hAPP_f2069516469l_real tptp.cOMBS_real_real_real (tptp.hAPP_f556082547l_real _let_10 (tptp.hAPP_n546711566l_real (tptp.hAPP_f248847589l_real tptp.cOMBC_real_nat_real (tptp.hAPP_f1407095736t_real _let_9 (tptp.hAPP_f1950183573l_real (tptp.hAPP_f2069516469l_real tptp.cOMBS_real_real_real (tptp.hAPP_f556082547l_real _let_7 (tptp.hAPP_f1950183573l_real (tptp.hAPP_f1992866895l_real tptp.cOMBB_real_real_real tptp.sin) _let_8))) (tptp.hAPP_f1950183573l_real (tptp.hAPP_f2069516469l_real tptp.cOMBS_real_real_real (tptp.hAPP_f556082547l_real _let_10 (tptp.hAPP_r1250527377l_real _let_4 _let_5))) (tptp.hAPP_r1250527377l_real _let_6 _let_2))))) _let_1))) (tptp.hAPP_n546711566l_real (tptp.hAPP_f248847589l_real tptp.cOMBC_real_nat_real (tptp.hAPP_f1407095736t_real _let_9 (tptp.hAPP_f1950183573l_real (tptp.hAPP_f2069516469l_real tptp.cOMBS_real_real_real (tptp.hAPP_f556082547l_real _let_7 (tptp.hAPP_f1950183573l_real (tptp.hAPP_f1992866895l_real tptp.cOMBB_real_real_real tptp.cos) _let_8))) (tptp.hAPP_f1950183573l_real (tptp.hAPP_f2069516469l_real tptp.cOMBS_real_real_real (tptp.hAPP_f556082547l_real _let_7 (tptp.hAPP_r1250527377l_real _let_6 _let_5))) (tptp.hAPP_r1250527377l_real _let_4 _let_2))))) _let_1)) X_1) tptp.zero_zero_real))))))))))))) (forall ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_int_real tptp.number267125858f_real _let_1)) (tptp.hAPP_real_real tptp.cos X_1))) (tptp.hAPP_real_real tptp.sin X_1)))) (let ((_let_3 (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1))) (let ((_let_4 (tptp.hAPP_f1796904975t_real tptp.cOMBB_599996122l_real tptp.power_power_real))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_f1950183573l_real (tptp.hAPP_f2069516469l_real tptp.cOMBS_real_real_real (tptp.hAPP_f556082547l_real (tptp.hAPP_f1960414057l_real tptp.cOMBB_882763271l_real tptp.plus_plus_real) (tptp.hAPP_n546711566l_real (tptp.hAPP_f248847589l_real tptp.cOMBC_real_nat_real (tptp.hAPP_f1407095736t_real _let_4 tptp.sin)) _let_3))) (tptp.hAPP_n546711566l_real (tptp.hAPP_f248847589l_real tptp.cOMBC_real_nat_real (tptp.hAPP_f1407095736t_real _let_4 tptp.cos)) _let_3)) X_1) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real _let_2) _let_2)))))))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.int_gcd A_1) B_1))) (let ((_let_2 (tptp.norm_frac A_1 B_1))) (let ((_let_3 (or (= A_1 tptp.zero_zero_int) (= B_1 tptp.zero_zero_int)))) (let ((_let_4 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_1) tptp.zero_zero_int)))) (=> (and (tptp.is_int A_1) (tptp.is_int B_1)) (=> (tptp.hBOOL (tptp.hAPP_P603027463t_bool (tptp.accp_P2006205492nt_int tptp.norm_frac_rel) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int A_1) B_1))) (and (=> _let_4 (= _let_2 (tptp.norm_frac (tptp.hAPP_int_int tptp.uminus_uminus_int A_1) (tptp.hAPP_int_int tptp.uminus_uminus_int B_1)))) (=> (not _let_4) (and (=> _let_3 (= _let_2 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int tptp.zero_zero_int) tptp.one_one_int))) (=> (not _let_3) (= _let_2 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_1) _let_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int B_1) _let_1)))))))))))))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat (tptp.hAPP_f1639111240at_nat (tptp.hAPP_f1731313045at_nat tptp.cOMBB_963856155at_nat tptp.plus_plus_nat) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.times_times_nat) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) tptp.one_one_nat))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real Xa)) tptp.one_one_real)) (tptp.hBOOL (tptp.monoseq_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.one_one_real)) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) _let_1)))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat (tptp.hAPP_r474017924t_real tptp.power_power_real Xa)) _let_1))))))) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Xa)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) tptp.one_one_real)) (tptp.hBOOL (tptp.monoseq_real (tptp.hAPP_r474017924t_real tptp.power_power_real Xa)))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.int_gcd A_3) B_2))) (let ((_let_2 (tptp.norm_frac A_3 B_2))) (let ((_let_3 (or (= A_3 tptp.zero_zero_int) (= B_2 tptp.zero_zero_int)))) (let ((_let_4 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_2) tptp.zero_zero_int)))) (=> (and (tptp.is_int A_3) (tptp.is_int B_2)) (and (=> _let_4 (= _let_2 (tptp.norm_frac (tptp.hAPP_int_int tptp.uminus_uminus_int A_3) (tptp.hAPP_int_int tptp.uminus_uminus_int B_2)))) (=> (not _let_4) (and (=> _let_3 (= _let_2 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int tptp.zero_zero_int) tptp.one_one_int))) (=> (not _let_3) (= _let_2 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) _let_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int B_2) _let_1))))))))))))) (forall ((Z_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1485493409l_bool tptp.cOMBB_624415285l_real tptp.fconj))) (let ((_let_2 (tptp.hAPP_complex_complex tptp.sgn_sgn_complex Z_2))) (= (tptp.arg Z_2) (tptp.hilbert_Eps_real (tptp.hAPP_f1861673493l_bool (tptp.hAPP_f1010710745l_bool tptp.cOMBS_real_bool_bool (tptp.hAPP_f60716669l_bool _let_1 (tptp.hAPP_f1402056515l_bool (tptp.hAPP_f824790735l_bool tptp.cOMBB_real_bool_real (tptp.hAPP_r1134773055l_bool tptp.fequal_real (tptp.hAPP_complex_real tptp.re _let_2))) tptp.cos))) (tptp.hAPP_f1861673493l_bool (tptp.hAPP_f1010710745l_bool tptp.cOMBS_real_bool_bool (tptp.hAPP_f60716669l_bool _let_1 (tptp.hAPP_f1402056515l_bool (tptp.hAPP_f824790735l_bool tptp.cOMBB_real_bool_real (tptp.hAPP_r1134773055l_bool tptp.fequal_real (tptp.hAPP_complex_real tptp.im _let_2))) tptp.sin))) (tptp.hAPP_f1861673493l_bool (tptp.hAPP_f1010710745l_bool tptp.cOMBS_real_bool_bool (tptp.hAPP_f60716669l_bool _let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.uminus_uminus_real tptp.pi)))) (tptp.hAPP_r1134773055l_bool (tptp.hAPP_f695504873l_bool tptp.cOMBC_real_real_bool tptp.ord_less_eq_real) tptp.pi))))))))) (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int _let_1) P_5)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_1) tptp.zero_zero_int) P_5))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.quadRes P_5) A_1))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.big_co1548731110nt_int tptp.cOMBI_int (tptp.comple219730294t_bool (tptp.setS A_1 P_5)))) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_1) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_5) tptp.one_one_int)) _let_1)))) P_5)))))))) (forall ((A_1 $$unsorted)) (= (tptp.big_co1548731110nt_int tptp.cOMBI_int (tptp.hAPP_i1948725293t_bool tptp.d22set A_1)) (tptp.hAPP_int_int tptp.zfact A_1))) (forall ((A_1 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) Ma)) (= (tptp.hAPP_int_int (tptp.legacy_zgcd (tptp.big_co1548731110nt_int tptp.cOMBI_int (tptp.hAPP_i1948725293t_bool (tptp.bnorRset A_1) Ma))) Ma) tptp.one_one_int))) (forall ((A_1 $$unsorted) (Ma $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool (tptp.bnorRset A_1) Ma))) (=> (tptp.is_int Xa) (=> (not (= Xa tptp.zero_zero_int)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) Ma)) (= (tptp.big_co1548731110nt_int tptp.cOMBI_int (tptp.image_int_int (tptp.hAPP_int_fun_int_int (tptp.hAPP_f2135977429nt_int tptp.cOMBC_int_int_int tptp.times_times_int) Xa) _let_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.big_co1548731110nt_int tptp.cOMBI_int _let_1)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int Xa) (tptp.hAPP_f957591787ol_nat tptp.finite_card_int _let_1))))))))) (forall ((Xa $$unsorted) (A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_5)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_1) tptp.zero_zero_int) P_5))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.quadRes P_5) A_1))) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f628503027l_bool tptp.member_fun_int_bool Xa) (tptp.setS A_1 P_5))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.big_co1548731110nt_int tptp.cOMBI_int Xa)) A_1) P_5)))))))) (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) P_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int A_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_5) tptp.one_one_int))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.big_co1548731110nt_int tptp.cOMBI_int (tptp.hAPP_i1948725293t_bool (tptp.wset A_1) P_5))) tptp.one_one_int) P_5)))))) (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) P_5)) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong A_1) tptp.zero_zero_int) P_5))) (= (tptp.big_co1548731110nt_int tptp.cOMBI_int (tptp.comple219730294t_bool (tptp.setS A_1 P_5))) (tptp.hAPP_int_int tptp.zfact (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int P_5) tptp.one_one_int))))))) (forall ((F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.nat_nat_set A)) (=> (forall ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.is_int X_1) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X_1)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int F X_1))))))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.big_co1548731110nt_int F A)))))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat (tptp.hAPP_f1639111240at_nat (tptp.hAPP_f1731313045at_nat tptp.cOMBB_963856155at_nat tptp.plus_plus_nat) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.times_times_nat) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) tptp.one_one_nat))) (let ((_let_2 (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real Xa)) tptp.one_one_real)) (= (tptp.hAPP_real_real tptp.arctan Xa) (tptp.hAPP_f352196356l_real tptp.suminf_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real _let_2 (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)))) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real _let_2 (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.one_one_real)) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) _let_1)))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat (tptp.hAPP_r474017924t_real tptp.power_power_real Xa)) _let_1))))))))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.times_times_nat) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (let ((_let_2 (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real))) (let ((_let_3 (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real _let_2 (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)))))) (let ((_let_4 (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat (tptp.hAPP_f1639111240at_nat (tptp.hAPP_f1731313045at_nat tptp.cOMBB_963856155at_nat tptp.plus_plus_nat) _let_1)) tptp.one_one_nat))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.abs_abs_real Xa)) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_f1122023986l_real (tptp.hAPP_f1786887945l_real tptp.cOMBB_1896127834l_real tptp.suminf_real) (tptp.hAPP_f1993765077t_real (tptp.hAPP_f895854793t_real tptp.cOMBB_1948233853l_real _let_3) (tptp.hAPP_f1993765077t_real (tptp.hAPP_f895854793t_real tptp.cOMBB_1948233853l_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real _let_2 (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.one_one_real)) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) _let_4))))) (tptp.hAPP_f1501741374t_real (tptp.hAPP_f1135648319t_real tptp.cOMBC_1329014627t_real (tptp.hAPP_f1163894827t_real (tptp.hAPP_f1998755145t_real tptp.cOMBB_421464275l_real tptp.cOMBB_nat_real_nat) tptp.power_power_real)) _let_4)))) Xa) (tptp.hAPP_f352196356l_real tptp.suminf_real (tptp.hAPP_f1888375463t_real _let_3 (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat (tptp.hAPP_r474017924t_real tptp.power_power_real Xa)) _let_1))))))))))) (forall ((Xa $$unsorted)) (= (tptp.hAPP_real_real tptp.sin Xa) (tptp.hAPP_f352196356l_real tptp.suminf_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) tptp.sin_coeff)) (tptp.hAPP_r474017924t_real tptp.power_power_real Xa))))) (forall ((X_1 $$unsorted)) (= (tptp.hAPP_real_real tptp.sin X_1) (tptp.hAPP_f352196356l_real tptp.suminf_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) tptp.sin_coeff)) (tptp.hAPP_r474017924t_real tptp.power_power_real X_1))))) (forall ((Xa $$unsorted)) (= (tptp.hAPP_real_real tptp.cos Xa) (tptp.hAPP_f352196356l_real tptp.suminf_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) tptp.cos_coeff)) (tptp.hAPP_r474017924t_real tptp.power_power_real Xa))))) (forall ((X_1 $$unsorted)) (= (tptp.hAPP_real_real tptp.cos X_1) (tptp.hAPP_f352196356l_real tptp.suminf_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) tptp.cos_coeff)) (tptp.hAPP_r474017924t_real tptp.power_power_real X_1))))) (forall ((Xa $$unsorted)) (= (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_real_real tptp.sin Xa)) (tptp.hAPP_f352196356l_real tptp.suminf_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat tptp.uminus_uminus_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) tptp.sin_coeff)) (tptp.hAPP_r474017924t_real tptp.power_power_real Xa)))))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.plus_plus_nat) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (= (tptp.hAPP_real_real tptp.exp_real Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.one_one_real) Xa)) (tptp.hAPP_f352196356l_real tptp.suminf_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat tptp.inverse_inverse_real) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) (tptp.hAPP_f1914919701at_nat (tptp.hAPP_f1585078997at_nat tptp.cOMBB_nat_nat_nat tptp.fact_fact_nat) _let_1))))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat (tptp.hAPP_r474017924t_real tptp.power_power_real Xa)) _let_1))))))) (= _let_48 (tptp.hAPP_f352196356l_real tptp.suminf_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.inverse_divide_real) (tptp.hAPP_r474017924t_real (tptp.hAPP_f42270917t_real tptp.cOMBC_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_r474017924t_real tptp.power_power_real _let_45))) tptp.one_one_real))) (tptp.hAPP_f1676298106t_real _let_19 (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat (tptp.hAPP_f1639111240at_nat (tptp.hAPP_f1731313045at_nat tptp.cOMBB_963856155at_nat tptp.plus_plus_nat) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.times_times_nat) _let_3))) tptp.one_one_nat))))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Xa)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (= (tptp.hAPP_real_real tptp.ln Xa) (tptp.hAPP_f352196356l_real tptp.suminf_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real _let_1 (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real _let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)))) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.one_one_real)) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.plus_plus_nat) tptp.one_one_nat)))))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real Xa) tptp.one_one_real))) tptp.suc)))))))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat (tptp.hAPP_f1639111240at_nat (tptp.hAPP_f1731313045at_nat tptp.cOMBB_963856155at_nat tptp.plus_plus_nat) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.times_times_nat) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) tptp.one_one_nat))) (let ((_let_2 (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real Xa)) tptp.one_one_real)) (tptp.hBOOL (tptp.summable_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real _let_2 (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)))) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real _let_2 (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.one_one_real)) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) _let_1)))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat (tptp.hAPP_r474017924t_real tptp.power_power_real Xa)) _let_1))))))))) (forall ((F $$unsorted)) (=> (tptp.hBOOL (tptp.summable_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat tptp.abs_abs_real) F))) (tptp.hBOOL (tptp.summable_real F)))) (forall ((F $$unsorted) (G $$unsorted)) (=> (exists ((N_2 $$unsorted)) (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_2) N_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_nat_real F N_1))) (tptp.hAPP_nat_real G N_1)))))) (=> (tptp.hBOOL (tptp.summable_real G)) (tptp.hBOOL (tptp.summable_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat tptp.abs_abs_real) F)))))) (forall ((F $$unsorted)) (let ((_let_1 (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat tptp.abs_abs_real) F))) (=> (tptp.hBOOL (tptp.summable_real _let_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_f352196356l_real tptp.suminf_real F))) (tptp.hAPP_f352196356l_real tptp.suminf_real _let_1)))))) (forall ((Xa $$unsorted)) (tptp.hBOOL (tptp.summable_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) tptp.sin_coeff)) (tptp.hAPP_r474017924t_real tptp.power_power_real Xa))))) (forall ((Xa $$unsorted)) (tptp.hBOOL (tptp.summable_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) tptp.cos_coeff)) (tptp.hAPP_r474017924t_real tptp.power_power_real Xa))))) (forall ((P_5 $$unsorted)) (= (tptp.archim791455193or_rat P_5) (tptp.hAPP_P1175774780nt_int (tptp.produc1298267108nt_int tptp.div_div_int) (tptp.quotient_of P_5)))) (forall ((P_5 $$unsorted)) (= (tptp.quotient_of (tptp.hAPP_rat_rat tptp.uminus_uminus_rat P_5)) (tptp.hAPP_P1975530577nt_int (tptp.produc1518849193nt_int (tptp.hAPP_f1574055885nt_int (tptp.hAPP_f2054677283nt_int tptp.cOMBB_782625832nt_int tptp.product_Pair_int_int) tptp.uminus_uminus_int)) (tptp.quotient_of P_5)))) (forall ((Xa $$unsorted)) (tptp.hBOOL (tptp.summable_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat tptp.inverse_inverse_real) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.fact_fact_nat)))) (tptp.hAPP_r474017924t_real tptp.power_power_real Xa))))) (forall ((P_5 $$unsorted)) (= (tptp.quotient_of (tptp.hAPP_rat_rat tptp.abs_abs_rat P_5)) (tptp.hAPP_P1975530577nt_int (tptp.produc1518849193nt_int (tptp.hAPP_f1574055885nt_int (tptp.hAPP_f2054677283nt_int tptp.cOMBB_782625832nt_int tptp.product_Pair_int_int) tptp.abs_abs_int)) (tptp.quotient_of P_5)))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1734373249l_bool tptp.cOMBB_1652995168ol_int tptp.fconj))) (let ((_let_2 (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_1))) (= (tptp.divmod_int_rel A_1 B_1) (tptp.produc93441119t_bool (tptp.hAPP_f1048215610t_bool (tptp.hAPP_f472159229t_bool tptp.cOMBC_1683390479t_bool (tptp.hAPP_f1545556668t_bool (tptp.hAPP_f85237525t_bool tptp.cOMBB_389152643ol_int tptp.cOMBS_int_bool_bool) (tptp.hAPP_f1344929775l_bool (tptp.hAPP_f1830214065l_bool tptp.cOMBB_793166024ol_int _let_1) (tptp.hAPP_f720654810t_bool (tptp.hAPP_f908327869t_bool tptp.cOMBB_1290694363ol_int (tptp.hAPP_f1512942609t_bool tptp.cOMBB_int_bool_int (tptp.hAPP_i1948725293t_bool tptp.fequal_int A_1))) (tptp.hAPP_f1760145644nt_int (tptp.hAPP_f1629352853nt_int tptp.cOMBB_1496585939nt_int tptp.plus_plus_int) (tptp.hAPP_int_fun_int_int tptp.times_times_int B_1)))))) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool (tptp.hAPP_f2144054103l_bool _let_1 (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f627970963t_bool tptp.cOMBB_bool_bool_int (tptp.fimplies _let_2)) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool (tptp.hAPP_f2144054103l_bool _let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f428220345t_bool tptp.cOMBC_int_int_bool tptp.ord_less_int) B_1))))) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f627970963t_bool tptp.cOMBB_bool_bool_int (tptp.fimplies (tptp.hAPP_bool_bool tptp.fNot _let_2))) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool (tptp.hAPP_f2144054103l_bool _let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int B_1))) (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f428220345t_bool tptp.cOMBC_int_int_bool tptp.ord_less_eq_int) tptp.zero_zero_int)))))))))) _let_44 (forall ((P_5 $$unsorted)) (= (tptp.quotient_of (tptp.hAPP_rat_rat tptp.inverse_inverse_rat P_5)) (tptp.hAPP_P1975530577nt_int (tptp.produc1518849193nt_int (tptp.hAPP_f465821005nt_int (tptp.hAPP_f1081447804nt_int tptp.cOMBS_1470252563nt_int (tptp.hAPP_f400200275nt_int (tptp.hAPP_f1731308757nt_int tptp.cOMBB_735549356nt_int tptp.cOMBB_1389251822nt_int) (tptp.hAPP_P621635040nt_int (tptp.hAPP_f1582586579nt_int tptp.cOMBC_707974837nt_int (tptp.hAPP_f251264923nt_int (tptp.hAPP_f279307923nt_int tptp.cOMBB_662120866nt_int tptp.if_Pro1731782967nt_int) (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f428220345t_bool tptp.cOMBC_int_int_bool tptp.fequal_int) tptp.zero_zero_int))) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int tptp.zero_zero_int) tptp.one_one_int)))) (tptp.hAPP_f1574055885nt_int (tptp.hAPP_f434654626nt_int tptp.cOMBS_2011279539nt_int (tptp.hAPP_f2094497995nt_int (tptp.hAPP_f534361363nt_int tptp.cOMBB_1657320178nt_int tptp.cOMBC_1964283556nt_int) (tptp.hAPP_f2004554147nt_int (tptp.hAPP_f1228585167nt_int tptp.cOMBB_1102189010nt_int (tptp.hAPP_f2054677283nt_int tptp.cOMBB_782625832nt_int tptp.product_Pair_int_int)) (tptp.hAPP_f1760145644nt_int (tptp.hAPP_f1629352853nt_int tptp.cOMBB_1496585939nt_int tptp.times_times_int) tptp.sgn_sgn_int)))) tptp.abs_abs_int))) (tptp.quotient_of P_5)))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.plus_plus_nat) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (tptp.hBOOL (tptp.summable_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat tptp.inverse_inverse_real) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) (tptp.hAPP_f1914919701at_nat (tptp.hAPP_f1585078997at_nat tptp.cOMBB_nat_nat_nat tptp.fact_fact_nat) _let_1))))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat (tptp.hAPP_r474017924t_real tptp.power_power_real Xa)) _let_1)))))) (forall ((B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (let ((_let_2 (tptp.hAPP_f2054677283nt_int tptp.cOMBB_782625832nt_int tptp.product_Pair_int_int))) (let ((_let_3 (tptp.hAPP_int_fun_int_int (tptp.hAPP_f2135977429nt_int tptp.cOMBC_int_int_int tptp.minus_minus_int) B_1))) (= (tptp.adjust B_1) (tptp.produc1518849193nt_int (tptp.hAPP_f465821005nt_int (tptp.hAPP_f1081447804nt_int tptp.cOMBS_1470252563nt_int (tptp.hAPP_f617310012nt_int (tptp.hAPP_f197974549nt_int tptp.cOMBB_638531587nt_int tptp.cOMBS_1891347093nt_int) (tptp.hAPP_f55007289nt_int (tptp.hAPP_f747475781nt_int tptp.cOMBB_222539774nt_int (tptp.hAPP_f1311564564nt_int tptp.cOMBS_1640193733nt_int (tptp.hAPP_f251264923nt_int (tptp.hAPP_f279307923nt_int tptp.cOMBB_662120866nt_int tptp.if_Pro1731782967nt_int) (tptp.hAPP_f429935748t_bool (tptp.hAPP_f1512942609t_bool tptp.cOMBB_int_bool_int (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int)) _let_3)))) (tptp.hAPP_f1574055885nt_int (tptp.hAPP_f960630521nt_int tptp.cOMBC_1805044090nt_int (tptp.hAPP_f142232355nt_int (tptp.hAPP_f1377453843nt_int tptp.cOMBB_320287386nt_int tptp.cOMBB_1846624359nt_int) (tptp.hAPP_f1574055885nt_int _let_2 (tptp.hAPP_int_fun_int_int (tptp.hAPP_f2135977429nt_int tptp.cOMBC_int_int_int (tptp.hAPP_f1760145644nt_int (tptp.hAPP_f1629352853nt_int tptp.cOMBB_1496585939nt_int tptp.plus_plus_int) _let_1)) tptp.one_one_int)))) _let_3)))) (tptp.hAPP_f1574055885nt_int _let_2 _let_1)))))))) (forall ((X0 $$unsorted) (F $$unsorted) (R_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real))) (let ((_let_2 (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real _let_1 F)))) (=> (forall ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real))) (=> (tptp.hBOOL (tptp.hAPP_f1501066425l_bool (tptp.hAPP_r1130899993l_bool tptp.member_real X_1) (tptp.hAPP_r1134773055l_bool (tptp.ord_gr788844697n_real (tptp.hAPP_real_real tptp.uminus_uminus_real R_3)) R_3))) (tptp.hBOOL (tptp.summable_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real _let_1 (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real _let_1 F)) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.suc)))) (tptp.hAPP_r474017924t_real tptp.power_power_real X_1))))))) (=> (tptp.hBOOL (tptp.hAPP_f1501066425l_bool (tptp.hAPP_r1130899993l_bool tptp.member_real X0) (tptp.hAPP_r1134773055l_bool (tptp.ord_gr788844697n_real (tptp.hAPP_real_real tptp.uminus_uminus_real R_3)) R_3))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) R_3)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_f1122023986l_real (tptp.hAPP_f1786887945l_real tptp.cOMBB_1896127834l_real tptp.suminf_real) (tptp.hAPP_f1993765077t_real (tptp.hAPP_f895854793t_real tptp.cOMBB_1948233853l_real _let_2) (tptp.hAPP_f1501741374t_real (tptp.hAPP_f1135648319t_real tptp.cOMBC_1329014627t_real (tptp.hAPP_f1163894827t_real (tptp.hAPP_f1998755145t_real tptp.cOMBB_421464275l_real tptp.cOMBB_nat_real_nat) tptp.power_power_real)) tptp.suc))) X0) (tptp.hAPP_f352196356l_real tptp.suminf_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real _let_1 (tptp.hAPP_f1888375463t_real _let_2 (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.suc)))) (tptp.hAPP_r474017924t_real tptp.power_power_real X0))))))))))) _let_42 (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.summable_complex X_2)) (= (tptp.hAPP_complex_complex tptp.cnj (tptp.hAPP_f213450978omplex tptp.suminf_complex X_2)) (tptp.hAPP_f213450978omplex tptp.suminf_complex (tptp.hAPP_f1646117269omplex (tptp.hAPP_f1457396693omplex tptp.cOMBB_117013006ex_nat tptp.cnj) X_2))))) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.summable_complex X_2)) (tptp.hBOOL (tptp.summable_complex (tptp.hAPP_f1646117269omplex (tptp.hAPP_f1457396693omplex tptp.cOMBB_117013006ex_nat tptp.cnj) X_2))))) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.summable_complex X_2)) (tptp.hBOOL (tptp.summable_real (tptp.hAPP_f1290670424t_real (tptp.hAPP_f327026105t_real tptp.cOMBB_722610049al_nat tptp.re) X_2))))) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.summable_complex X_2)) (tptp.hBOOL (tptp.summable_real (tptp.hAPP_f1290670424t_real (tptp.hAPP_f327026105t_real tptp.cOMBB_722610049al_nat tptp.im) X_2))))) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.summable_complex X_2)) (= (tptp.hAPP_complex_real tptp.re (tptp.hAPP_f213450978omplex tptp.suminf_complex X_2)) (tptp.hAPP_f352196356l_real tptp.suminf_real (tptp.hAPP_f1290670424t_real (tptp.hAPP_f327026105t_real tptp.cOMBB_722610049al_nat tptp.re) X_2))))) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.summable_complex X_2)) (= (tptp.hAPP_complex_real tptp.im (tptp.hAPP_f213450978omplex tptp.suminf_complex X_2)) (tptp.hAPP_f352196356l_real tptp.suminf_real (tptp.hAPP_f1290670424t_real (tptp.hAPP_f327026105t_real tptp.cOMBB_722610049al_nat tptp.im) X_2))))) _let_40 (forall ((Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.divmod_nat Ma Na))) (let ((_let_2 (or (= Na tptp.zero_zero_nat) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat Ma) Na))))) (and (=> _let_2 (= _let_1 (tptp.hAPP_n1289843868at_nat (tptp.hAPP_n1865633855at_nat tptp.product_Pair_nat_nat tptp.zero_zero_nat) Ma))) (=> (not _let_2) (= _let_1 (tptp.hAPP_P1586233937at_nat (tptp.produc1391996073at_nat (tptp.hAPP_f837737749at_nat (tptp.hAPP_f999082675at_nat tptp.cOMBB_348438404at_nat tptp.product_Pair_nat_nat) tptp.suc)) (tptp.divmod_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat Ma) Na) Na)))))))) (forall ((P_1 $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.bolzano_bisect P_1 A_1 B_1))) (let ((_let_2 (tptp.hAPP_r337325687l_real (tptp.hAPP_f1644353557l_real tptp.cOMBC_1508019322l_real (tptp.hAPP_f1644353557l_real (tptp.hAPP_f1874145443l_real tptp.cOMBB_1768400739l_real tptp.cOMBC_real_real_real) (tptp.hAPP_f1732848529l_real (tptp.hAPP_f1310479593l_real tptp.cOMBB_2092576745l_real (tptp.hAPP_f1960414057l_real tptp.cOMBB_882763271l_real tptp.inverse_divide_real)) tptp.plus_plus_real))) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (let ((_let_3 (tptp.hAPP_f320596107l_real (tptp.hAPP_f850851693l_real tptp.cOMBS_193881978l_real (tptp.hAPP_f1119546819l_real (tptp.hAPP_f555557763l_real tptp.cOMBB_422423973l_real tptp.cOMBB_2107848501l_real) tptp.produc865579683l_real)) _let_2))) (= (tptp.hAPP_n332733730l_real _let_1 (tptp.hAPP_nat_nat tptp.suc Na)) (tptp.hAPP_P1860904029l_real (tptp.produc595218619l_real (tptp.hAPP_f2072293513l_real (tptp.hAPP_f1763467369l_real tptp.cOMBS_163651580l_real (tptp.hAPP_f1663701695l_real (tptp.hAPP_f774948957l_real tptp.cOMBB_3698607l_real tptp.cOMBS_902912708l_real) (tptp.hAPP_f324002831l_real (tptp.hAPP_f677014621l_real tptp.cOMBS_107495110l_real (tptp.hAPP_f1161935955l_real (tptp.hAPP_f328572565l_real tptp.cOMBB_520243667l_real tptp.cOMBS_794971624l_real) (tptp.hAPP_f517738447l_real (tptp.hAPP_f1879982819l_real tptp.cOMBB_731595089l_real (tptp.hAPP_f1076489843l_real tptp.cOMBB_415306361l_real tptp.if_Pro313124157l_real)) (tptp.hAPP_f1884005689l_bool (tptp.hAPP_f172451459l_bool tptp.cOMBB_421479067l_real (tptp.hAPP_f940061907l_bool tptp.cOMBB_1795223523l_real P_1)) _let_3)))) (tptp.hAPP_f1591894897l_real (tptp.hAPP_f644105375l_real tptp.cOMBC_467724138l_real (tptp.hAPP_f1108539711l_real (tptp.hAPP_f1109256153l_real tptp.cOMBB_44084907l_real tptp.cOMBS_511527878l_real) (tptp.hAPP_f823702159l_real (tptp.hAPP_f1040184293l_real tptp.cOMBB_557258983l_real (tptp.hAPP_f2114902373l_real tptp.cOMBB_237479429l_real tptp.produc865579683l_real)) _let_2))) tptp.cOMBI_real)))) _let_3)) (tptp.hAPP_n332733730l_real _let_1 Na))))))) (forall ((A_1 $$unsorted) (Ra $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Ra)) (=> (tptp.hBOOL (tptp.summable_real A_1)) (exists ((N_2 $$unsorted)) (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_2) N_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_f352196356l_real tptp.suminf_real (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat A_1) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.plus_plus_nat) N_1))))) Ra)))))))) (forall ((L $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.pdivmod K L))) (let ((_let_2 (tptp.hAPP_f2054677283nt_int tptp.cOMBB_782625832nt_int tptp.product_Pair_int_int))) (let ((_let_3 (tptp.divmod_int K L))) (let ((_let_4 (= L tptp.zero_zero_int))) (let ((_let_5 (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int tptp.zero_zero_int))) (let ((_let_6 (= K tptp.zero_zero_int))) (=> (and (tptp.is_int L) (tptp.is_int K)) (and (=> _let_6 (= _let_3 (tptp.hAPP_i1524277240nt_int _let_5 tptp.zero_zero_int))) (=> (not _let_6) (and (=> _let_4 (= _let_3 (tptp.hAPP_i1524277240nt_int _let_5 K))) (=> (not _let_4) (= _let_3 (tptp.hAPP_P1975530577nt_int (tptp.produc713050258nt_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.sgn_sgn_int L))) (tptp.hAPP_P1975530577nt_int (tptp.hAPP_P1145851913nt_int (tptp.hAPP_b40753821nt_int tptp.if_Pro1731782967nt_int (tptp.fdisj (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) L)) (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int L) tptp.zero_zero_int)) (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int K) tptp.zero_zero_int)))) _let_1) (tptp.hAPP_P1975530577nt_int (tptp.produc1518849193nt_int (tptp.hAPP_f465821005nt_int (tptp.hAPP_f1081447804nt_int tptp.cOMBS_1470252563nt_int (tptp.hAPP_f617310012nt_int (tptp.hAPP_f197974549nt_int tptp.cOMBB_638531587nt_int tptp.cOMBS_1891347093nt_int) (tptp.hAPP_f1148171384nt_int (tptp.hAPP_f334321603nt_int tptp.cOMBB_1484610687nt_int (tptp.hAPP_f1582586579nt_int tptp.cOMBC_707974837nt_int (tptp.hAPP_f251264923nt_int (tptp.hAPP_f279307923nt_int tptp.cOMBB_662120866nt_int tptp.if_Pro1731782967nt_int) (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f428220345t_bool tptp.cOMBC_int_int_bool tptp.fequal_int) tptp.zero_zero_int)))) (tptp.hAPP_i1584592887nt_int (tptp.hAPP_f465821005nt_int tptp.cOMBC_1964283556nt_int (tptp.hAPP_f1574055885nt_int _let_2 tptp.uminus_uminus_int)) tptp.zero_zero_int)))) (tptp.hAPP_f1574055885nt_int (tptp.hAPP_f960630521nt_int tptp.cOMBC_1805044090nt_int (tptp.hAPP_f142232355nt_int (tptp.hAPP_f1377453843nt_int tptp.cOMBB_320287386nt_int tptp.cOMBB_1846624359nt_int) (tptp.hAPP_f1574055885nt_int _let_2 (tptp.hAPP_int_fun_int_int (tptp.hAPP_f2135977429nt_int tptp.cOMBC_int_int_int (tptp.hAPP_f1760145644nt_int (tptp.hAPP_f1629352853nt_int tptp.cOMBB_1496585939nt_int tptp.minus_minus_int) tptp.uminus_uminus_int)) tptp.one_one_int)))) (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int tptp.abs_abs_int L))))) _let_1)))))))))))))))) _let_36 (forall ((L $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.pdivmod K L))) (let ((_let_2 (tptp.hAPP_f2054677283nt_int tptp.cOMBB_782625832nt_int tptp.product_Pair_int_int))) (let ((_let_3 (tptp.hAPP_int_int tptp.sgn_sgn_int L))) (let ((_let_4 (tptp.divmod_int K L))) (let ((_let_5 (= L tptp.zero_zero_int))) (let ((_let_6 (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int tptp.zero_zero_int))) (let ((_let_7 (= K tptp.zero_zero_int))) (=> (and (tptp.is_int L) (tptp.is_int K)) (and (=> _let_7 (= _let_4 (tptp.hAPP_i1524277240nt_int _let_6 tptp.zero_zero_int))) (=> (not _let_7) (and (=> _let_5 (= _let_4 (tptp.hAPP_i1524277240nt_int _let_6 K))) (=> (not _let_5) (= _let_4 (tptp.hAPP_P1975530577nt_int (tptp.produc713050258nt_int (tptp.hAPP_int_fun_int_int tptp.times_times_int _let_3)) (tptp.hAPP_P1975530577nt_int (tptp.hAPP_P1145851913nt_int (tptp.hAPP_b40753821nt_int tptp.if_Pro1731782967nt_int (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.fequal_int (tptp.hAPP_int_int tptp.sgn_sgn_int K)) _let_3)) _let_1) (tptp.hAPP_P1975530577nt_int (tptp.produc1518849193nt_int (tptp.hAPP_f465821005nt_int (tptp.hAPP_f1081447804nt_int tptp.cOMBS_1470252563nt_int (tptp.hAPP_f617310012nt_int (tptp.hAPP_f197974549nt_int tptp.cOMBB_638531587nt_int tptp.cOMBS_1891347093nt_int) (tptp.hAPP_f1148171384nt_int (tptp.hAPP_f334321603nt_int tptp.cOMBB_1484610687nt_int (tptp.hAPP_f1582586579nt_int tptp.cOMBC_707974837nt_int (tptp.hAPP_f251264923nt_int (tptp.hAPP_f279307923nt_int tptp.cOMBB_662120866nt_int tptp.if_Pro1731782967nt_int) (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f428220345t_bool tptp.cOMBC_int_int_bool tptp.fequal_int) tptp.zero_zero_int)))) (tptp.hAPP_i1584592887nt_int (tptp.hAPP_f465821005nt_int tptp.cOMBC_1964283556nt_int (tptp.hAPP_f1574055885nt_int _let_2 tptp.uminus_uminus_int)) tptp.zero_zero_int)))) (tptp.hAPP_f1574055885nt_int (tptp.hAPP_f960630521nt_int tptp.cOMBC_1805044090nt_int (tptp.hAPP_f142232355nt_int (tptp.hAPP_f1377453843nt_int tptp.cOMBB_320287386nt_int tptp.cOMBB_1846624359nt_int) (tptp.hAPP_f1574055885nt_int _let_2 (tptp.hAPP_int_fun_int_int (tptp.hAPP_f2135977429nt_int tptp.cOMBC_int_int_int (tptp.hAPP_f1760145644nt_int (tptp.hAPP_f1629352853nt_int tptp.cOMBB_1496585939nt_int tptp.minus_minus_int) tptp.uminus_uminus_int)) tptp.one_one_int)))) (tptp.hAPP_int_fun_int_int tptp.minus_minus_int (tptp.hAPP_int_int tptp.abs_abs_int L))))) _let_1))))))))))))))))) (forall ((F $$unsorted) (G $$unsorted)) (=> (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_nat_real F N_1))) (tptp.hAPP_nat_real G N_1)))) (=> (tptp.hBOOL (tptp.summable_real G)) (and (tptp.hBOOL (tptp.summable_real F)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_f352196356l_real tptp.suminf_real F)) (tptp.hAPP_f352196356l_real tptp.suminf_real G))))))) (forall ((F $$unsorted)) (=> (tptp.hBOOL (tptp.summable_real F)) (=> (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.hAPP_nat_real F N_1)))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.hAPP_f352196356l_real tptp.suminf_real F)))))) (forall ((F $$unsorted)) (=> (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_nat_real F N_1)))) (=> (tptp.hBOOL (tptp.summable_real F)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_f352196356l_real tptp.suminf_real F)))))) (forall ((F $$unsorted)) (=> (tptp.hBOOL (tptp.summable_real F)) (=> (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_nat_real F N_1)))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_f352196356l_real tptp.suminf_real F)))))) (forall ((D_1 $$unsorted)) (= (tptp.int_ge_less_than2 D_1) (tptp.collec1347809874nt_int (tptp.produc93441119t_bool (tptp.hAPP_f428220345t_bool (tptp.hAPP_f654702867t_bool tptp.cOMBB_591320580ol_int (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool (tptp.hAPP_f2144054103l_bool (tptp.hAPP_f1734373249l_bool tptp.cOMBB_1652995168ol_int tptp.fconj) (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int D_1)))) tptp.ord_less_int))))) (forall ((D_1 $$unsorted)) (= (tptp.int_ge_less_than D_1) (tptp.collec1347809874nt_int (tptp.produc93441119t_bool (tptp.hAPP_f428220345t_bool (tptp.hAPP_f1878066172t_bool tptp.cOMBS_1720984575t_bool (tptp.hAPP_f1315737299t_bool (tptp.hAPP_f538565589t_bool tptp.cOMBB_1211207212ol_int tptp.cOMBB_bool_bool_int) (tptp.hAPP_f2144054103l_bool (tptp.hAPP_f1734373249l_bool tptp.cOMBB_1652995168ol_int tptp.fconj) (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int D_1)))) tptp.ord_less_int))))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat (tptp.hAPP_f1639111240at_nat (tptp.hAPP_f1731313045at_nat tptp.cOMBB_963856155at_nat tptp.plus_plus_nat) (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) tptp.one_one_nat))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.sums_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.inverse_divide_real) (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) (tptp.hAPP_f1914919701at_nat (tptp.hAPP_f1585078997at_nat tptp.cOMBB_nat_nat_nat tptp.fact_fact_nat) _let_1))))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat (tptp.hAPP_r474017924t_real tptp.power_power_real Xa)) _let_1))) (tptp.hAPP_real_real tptp.sin Xa))))) (forall ((Xa $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.sums_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) tptp.sin_coeff)) (tptp.hAPP_r474017924t_real tptp.power_power_real Xa))) (tptp.hAPP_real_real tptp.sin Xa)))) (forall ((Xa $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.sums_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) tptp.cos_coeff)) (tptp.hAPP_r474017924t_real tptp.power_power_real Xa))) (tptp.hAPP_real_real tptp.cos Xa)))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.sums_real (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat (tptp.hAPP_r474017924t_real tptp.power_power_real _let_35)) tptp.suc)) tptp.one_one_real)) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (let ((_let_2 (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Xa) (tptp.hAPP_int_nat tptp.number_number_of_nat _let_1)))) (let ((_let_3 (tptp.hAPP_int_real tptp.number267125858f_real _let_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.sums_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real _let_2) _let_3))) (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.one_one_real) _let_3)))) _let_2)))))) (forall ((G $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.sums_real G) Xa)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.sums_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_r195310020l_real (tptp.hAPP_f2126667875l_real tptp.cOMBC_746811033l_real (tptp.hAPP_f1129044203l_real (tptp.hAPP_f264196187l_real tptp.cOMBB_1480366270al_nat tptp.if_real) tptp.even_odd_even_nat)) tptp.zero_zero_real)) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat G) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat (tptp.hAPP_f1639111240at_nat (tptp.hAPP_f1731313045at_nat tptp.cOMBB_963856155at_nat tptp.div_div_nat) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.minus_minus_nat) tptp.one_one_nat))) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))))) Xa)))) (forall ((F $$unsorted) (Ya $$unsorted) (G $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.sums_real G) Xa)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.sums_real F) Ya)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.sums_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f335634176l_real tptp.cOMBS_337378985l_real (tptp.hAPP_f1129044203l_real (tptp.hAPP_f264196187l_real tptp.cOMBB_1480366270al_nat tptp.if_real) tptp.even_odd_even_nat)) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat F) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.div_div_nat) _let_1)))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat G) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat (tptp.hAPP_f1639111240at_nat (tptp.hAPP_f1731313045at_nat tptp.cOMBB_963856155at_nat tptp.div_div_nat) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.minus_minus_nat) tptp.one_one_nat))) _let_1)))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real Xa) Ya))))))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.sums_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.inverse_divide_real) (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) (tptp.hAPP_f1914919701at_nat (tptp.hAPP_f1585078997at_nat tptp.cOMBB_nat_nat_nat tptp.fact_fact_nat) _let_1))))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat (tptp.hAPP_r474017924t_real tptp.power_power_real Xa)) _let_1))) (tptp.hAPP_real_real tptp.cos Xa))))) (forall ((X_2 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.sums_complex X_2) A_1)) (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.sums_complex (tptp.hAPP_f1646117269omplex (tptp.hAPP_f1457396693omplex tptp.cOMBB_117013006ex_nat tptp.cnj) X_2)) (tptp.hAPP_complex_complex tptp.cnj A_1))))) (forall ((X_2 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.sums_complex X_2) A_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.sums_real (tptp.hAPP_f1290670424t_real (tptp.hAPP_f327026105t_real tptp.cOMBB_722610049al_nat tptp.re) X_2)) (tptp.hAPP_complex_real tptp.re A_1))))) (forall ((X_2 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.sums_complex X_2) A_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.sums_real (tptp.hAPP_f1290670424t_real (tptp.hAPP_f327026105t_real tptp.cOMBB_722610049al_nat tptp.im) X_2)) (tptp.hAPP_complex_real tptp.im A_1))))) (forall ((Na $$unsorted)) (= (tptp.hAPP_nat_real (tptp.diffs_real tptp.sin_coeff) Na) (tptp.hAPP_nat_real tptp.cos_coeff Na))) _let_33 (forall ((X_1 $$unsorted)) (= (tptp.hAPP_nat_real (tptp.diffs_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat tptp.inverse_inverse_real) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.fact_fact_nat))) X_1) (tptp.hAPP_real_real tptp.inverse_inverse_real (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat X_1))))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat tptp.suc Ma)) Na)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.nat_case_bool tptp.fFalse (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ma)) Na)))) (forall ((X_1 $$unsorted)) (= (tptp.hAPP_nat_real (tptp.diffs_real tptp.cos_coeff) X_1) (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_nat_real tptp.sin_coeff X_1)))) (forall ((Na $$unsorted)) (= (tptp.hAPP_nat_real (tptp.diffs_real tptp.cos_coeff) Na) (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.hAPP_nat_real tptp.sin_coeff Na)))) (forall ((Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat Ma))) (= (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat tptp.suc Na)) (tptp.hAPP_nat_nat (tptp.nat_case_nat tptp.zero_zero_nat tptp.cOMBI_nat) (tptp.hAPP_nat_nat _let_1 Na))))) (forall ((F $$unsorted) (G $$unsorted)) (=> (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real F N_1)) (tptp.hAPP_nat_real G N_1)))) (=> (tptp.hBOOL (tptp.summable_real F)) (=> (tptp.hBOOL (tptp.summable_real G)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_f352196356l_real tptp.suminf_real F)) (tptp.hAPP_f352196356l_real tptp.suminf_real G))))))) (forall ((Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (let ((_let_2 (tptp.hAPP_f1485493409l_bool tptp.cOMBB_624415285l_real tptp.fconj))) (= (tptp.hAPP_real_real tptp.arctan Ya) (tptp.the_real (tptp.hAPP_f1861673493l_bool (tptp.hAPP_f1010710745l_bool tptp.cOMBS_real_bool_bool (tptp.hAPP_f60716669l_bool _let_2 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_1)))) (tptp.hAPP_f1861673493l_bool (tptp.hAPP_f1010710745l_bool tptp.cOMBS_real_bool_bool (tptp.hAPP_f60716669l_bool _let_2 (tptp.hAPP_r1134773055l_bool (tptp.hAPP_f695504873l_bool tptp.cOMBC_real_real_bool tptp.ord_less_real) _let_1))) (tptp.hAPP_r1134773055l_bool (tptp.hAPP_f695504873l_bool tptp.cOMBC_real_real_bool (tptp.hAPP_f1393328161l_bool (tptp.hAPP_f1900646853l_bool tptp.cOMBB_430461877l_real tptp.fequal_real) tptp.tan)) Ya)))))))) (forall ((Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.pi) (tptp.hAPP_int_real tptp.number267125858f_real (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (let ((_let_2 (tptp.hAPP_f1485493409l_bool tptp.cOMBB_624415285l_real tptp.fconj))) (= (tptp.hAPP_real_real tptp.arcsin Ya) (tptp.the_real (tptp.hAPP_f1861673493l_bool (tptp.hAPP_f1010710745l_bool tptp.cOMBS_real_bool_bool (tptp.hAPP_f60716669l_bool _let_2 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.uminus_uminus_real _let_1)))) (tptp.hAPP_f1861673493l_bool (tptp.hAPP_f1010710745l_bool tptp.cOMBS_real_bool_bool (tptp.hAPP_f60716669l_bool _let_2 (tptp.hAPP_r1134773055l_bool (tptp.hAPP_f695504873l_bool tptp.cOMBC_real_real_bool tptp.ord_less_eq_real) _let_1))) (tptp.hAPP_r1134773055l_bool (tptp.hAPP_f695504873l_bool tptp.cOMBC_real_real_bool (tptp.hAPP_f1393328161l_bool (tptp.hAPP_f1900646853l_bool tptp.cOMBB_430461877l_real tptp.fequal_real) tptp.sin)) Ya)))))))) (forall ((Xa $$unsorted)) (= (tptp.hAPP_real_real tptp.ln Xa) (tptp.the_real (tptp.hAPP_r1134773055l_bool (tptp.hAPP_f695504873l_bool tptp.cOMBC_real_real_bool (tptp.hAPP_f1393328161l_bool (tptp.hAPP_f1900646853l_bool tptp.cOMBB_430461877l_real tptp.fequal_real) tptp.exp_real)) Xa)))) (forall ((Na $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real tptp.root Na) Xa))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) tptp.zero_zero_real)))) (let ((_let_3 (tptp.hAPP_f695504873l_bool tptp.cOMBC_real_real_bool (tptp.hAPP_f1393328161l_bool (tptp.hAPP_f1900646853l_bool tptp.cOMBB_430461877l_real tptp.fequal_real) (tptp.hAPP_n546711566l_real (tptp.hAPP_f248847589l_real tptp.cOMBC_real_nat_real tptp.power_power_real) Na))))) (let ((_let_4 (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real))) (let ((_let_5 (tptp.hAPP_f1010710745l_bool tptp.cOMBS_real_bool_bool (tptp.hAPP_f60716669l_bool (tptp.hAPP_f1485493409l_bool tptp.cOMBB_624415285l_real tptp.fconj) _let_4)))) (let ((_let_6 (tptp.hBOOL (tptp.hAPP_real_bool _let_4 Xa)))) (and (=> _let_6 (= _let_1 (tptp.the_real (tptp.hAPP_f1861673493l_bool _let_5 (tptp.hAPP_r1134773055l_bool _let_3 Xa))))) (=> (not _let_6) (and (=> _let_2 (= _let_1 (tptp.hAPP_real_real tptp.uminus_uminus_real (tptp.the_real (tptp.hAPP_f1861673493l_bool _let_5 (tptp.hAPP_r1134773055l_bool _let_3 (tptp.hAPP_real_real tptp.uminus_uminus_real Xa))))))) (=> (not _let_2) (= _let_1 tptp.zero_zero_real)))))))))))) (forall ((Ya $$unsorted)) (let ((_let_1 (tptp.hAPP_f1485493409l_bool tptp.cOMBB_624415285l_real tptp.fconj))) (= (tptp.hAPP_real_real tptp.arccos Ya) (tptp.the_real (tptp.hAPP_f1861673493l_bool (tptp.hAPP_f1010710745l_bool tptp.cOMBS_real_bool_bool (tptp.hAPP_f60716669l_bool _let_1 (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real))) (tptp.hAPP_f1861673493l_bool (tptp.hAPP_f1010710745l_bool tptp.cOMBS_real_bool_bool (tptp.hAPP_f60716669l_bool _let_1 (tptp.hAPP_r1134773055l_bool (tptp.hAPP_f695504873l_bool tptp.cOMBC_real_real_bool tptp.ord_less_eq_real) tptp.pi))) (tptp.hAPP_r1134773055l_bool (tptp.hAPP_f695504873l_bool tptp.cOMBC_real_real_bool (tptp.hAPP_f1393328161l_bool (tptp.hAPP_f1900646853l_bool tptp.cOMBB_430461877l_real tptp.fequal_real) tptp.cos)) Ya))))))) _let_32 (= _let_16 _let_30) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.divmod_nat Ma Na) (tptp.the_Pr588456374at_nat (tptp.divmod_nat_rel Ma Na)))) (forall ((Xa $$unsorted)) (= (tptp.archim1246769320r_real Xa) (tptp.the_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool (tptp.hAPP_f2144054103l_bool (tptp.hAPP_f1734373249l_bool tptp.cOMBB_1652995168ol_int tptp.fconj) (tptp.hAPP_r481142414t_bool (tptp.hAPP_f1845081853t_bool tptp.cOMBC_int_real_bool (tptp.hAPP_f801032407l_bool (tptp.hAPP_f499530369l_bool tptp.cOMBB_1317819104ol_int tptp.ord_less_eq_real) tptp.ring_1_of_int_real)) Xa))) (tptp.hAPP_f429384717t_bool (tptp.hAPP_f1173902867t_bool tptp.cOMBB_real_bool_int (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa)) (tptp.hAPP_f563293398t_real (tptp.hAPP_f134192053t_real tptp.cOMBB_int_real_int tptp.ring_1_of_int_real) (tptp.hAPP_int_fun_int_int (tptp.hAPP_f2135977429nt_int tptp.cOMBC_int_int_int tptp.plus_plus_int) tptp.one_one_int))))))) (forall ((Xa $$unsorted)) (= (tptp.archim791455193or_rat Xa) (tptp.the_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool (tptp.hAPP_f2144054103l_bool (tptp.hAPP_f1734373249l_bool tptp.cOMBB_1652995168ol_int tptp.fconj) (tptp.hAPP_r1900510169t_bool (tptp.hAPP_f1480506641t_bool tptp.cOMBC_int_rat_bool (tptp.hAPP_f601898971t_bool (tptp.hAPP_f857296063t_bool tptp.cOMBB_214503962ol_int tptp.ord_less_eq_rat) tptp.ring_1_of_int_rat)) Xa))) (tptp.hAPP_f1241350704t_bool (tptp.hAPP_f1131424617t_bool tptp.cOMBB_rat_bool_int (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat Xa)) (tptp.hAPP_f1900950721nt_rat (tptp.hAPP_f1270196437nt_rat tptp.cOMBB_int_rat_int tptp.ring_1_of_int_rat) (tptp.hAPP_int_fun_int_int (tptp.hAPP_f2135977429nt_int tptp.cOMBC_int_int_int tptp.plus_plus_int) tptp.one_one_int))))))) (forall ((A_1 $$unsorted) (A $$unsorted) (Ma $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.rRset2norRR A Ma) A_1))) (let ((_let_2 (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) Ma)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.is_RRset A) Ma)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_1) A))))) (and (=> _let_2 (= _let_1 (tptp.hilbert_Eps_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool (tptp.hAPP_f2144054103l_bool (tptp.hAPP_f1734373249l_bool tptp.cOMBB_1652995168ol_int tptp.fconj) (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f428220345t_bool tptp.cOMBC_int_int_bool (tptp.zcong A_1)) Ma))) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f202917053t_bool tptp.cOMBC_94739984l_bool tptp.member_int) (tptp.hAPP_i1948725293t_bool tptp.norRRset Ma)))))) (=> (not _let_2) (= _let_1 tptp.zero_zero_int)))))) (forall ((A_1 $$unsorted) (A $$unsorted) (Ma $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.norRRset Ma))) (let ((_let_2 (tptp.zcong A_1))) (let ((_let_3 (tptp.hilbert_Eps_int (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool (tptp.hAPP_f2144054103l_bool (tptp.hAPP_f1734373249l_bool tptp.cOMBB_1652995168ol_int tptp.fconj) (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f428220345t_bool tptp.cOMBC_int_int_bool _let_2) Ma))) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f202917053t_bool tptp.cOMBC_94739984l_bool tptp.member_int) _let_1))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.one_one_int) Ma)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.is_RRset A) Ma)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int A_1) A)) (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool _let_2 _let_3) Ma)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int _let_3) _let_1)))))))))) (forall ((Xa $$unsorted) (Na $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real tptp.sin Xa)) (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_r195310020l_real (tptp.hAPP_f2126667875l_real tptp.cOMBC_746811033l_real (tptp.hAPP_f1129044203l_real (tptp.hAPP_f264196187l_real tptp.cOMBB_1480366270al_nat tptp.if_real) tptp.even_odd_even_nat)) tptp.zero_zero_real)) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.inverse_divide_real) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min))) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat (tptp.hAPP_f1639111240at_nat (tptp.hAPP_f1731313045at_nat tptp.cOMBB_963856155at_nat tptp.div_div_nat) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.minus_minus_nat) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.fact_fact_nat))))) (tptp.hAPP_r474017924t_real tptp.power_power_real Xa))) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na))))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real tptp.inverse_inverse_real (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat Na)))) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_real_real tptp.abs_abs_real Xa)) Na))))) (forall ((U $$unsorted) (F $$unsorted)) (=> (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_1) (tptp.hAPP_nat_nat F N_1)))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.collect_nat (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool (tptp.hAPP_f618557131t_bool (tptp.hAPP_f1505651103t_bool tptp.cOMBB_800536526ol_nat tptp.ord_less_eq_nat) F)) U)))))) (forall ((L $$unsorted) (U $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat L) U)))) (forall ((K $$unsorted) (N_1 $$unsorted) (F_2 $$unsorted)) (let ((_let_1 (tptp.ord_at4362885an_nat tptp.zero_zero_nat))) (let ((_let_2 (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real F_2))) (= (tptp.hAPP_f1406902706l_real _let_2 (tptp.hAPP_n1699378549t_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat N_1) K))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat F_2) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.plus_plus_nat) K))) (tptp.hAPP_n1699378549t_bool _let_1 N_1))) (tptp.hAPP_f1406902706l_real _let_2 (tptp.hAPP_n1699378549t_bool _let_1 K))))))) (forall ((K $$unsorted) (Na $$unsorted) (F_2 $$unsorted)) (let ((_let_1 (tptp.ord_at4362885an_nat tptp.zero_zero_nat))) (let ((_let_2 (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real F_2))) (= (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat F_2) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.plus_plus_nat) K))) (tptp.hAPP_n1699378549t_bool _let_1 Na)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_f1406902706l_real _let_2 (tptp.hAPP_n1699378549t_bool _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Na) K)))) (tptp.hAPP_f1406902706l_real _let_2 (tptp.hAPP_n1699378549t_bool _let_1 K))))))) (forall ((F $$unsorted) (Na $$unsorted) (Ra $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na))) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real F) _let_1)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat Na)) Ra)) (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_r474017924t_real (tptp.hAPP_f42270917t_real tptp.cOMBC_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.minus_minus_real) F)) Ra)) _let_1)))) (forall ((F $$unsorted) (Na $$unsorted)) (= (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) F)) (tptp.hAPP_r474017924t_real tptp.power_power_real tptp.zero_zero_real))) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) Na)) tptp.zero_zero_real)) (forall ((P_1 $$unsorted) (Na $$unsorted)) (= (exists ((M_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 M_1)))) (exists ((X_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 X_1)))))) (forall ((P_1 $$unsorted) (Na $$unsorted)) (= (forall ((M_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 M_1)))) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 X_1)))))) (forall ((L $$unsorted) (U $$unsorted)) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat L) U)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat U) L))) (forall ((Na $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real Xa))) (=> (not (= Xa tptp.one_one_real)) (= (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real _let_1) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_nat_real _let_1 Na)) tptp.one_one_real)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real Xa) tptp.one_one_real)))))) (forall ((L $$unsorted) (U $$unsorted)) (= (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat (tptp.hAPP_nat_nat tptp.suc L)) U) (tptp.hAPP_n1699378549t_bool (tptp.ord_gr660468384an_nat L) U))) (forall ((K $$unsorted) (I_1 $$unsorted) (J $$unsorted)) (= (tptp.image_nat_nat (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.plus_plus_nat) K) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat I_1) J)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_1) K)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J) K)))) (forall ((I_1 $$unsorted) (J $$unsorted)) (= (tptp.image_nat_nat tptp.suc (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat I_1) J)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat (tptp.hAPP_nat_nat tptp.suc I_1)) (tptp.hAPP_nat_nat tptp.suc J)))) (forall ((Diff $$unsorted) (Na $$unsorted) (Xa $$unsorted)) (=> (= Xa tptp.zero_zero_real) (=> (not (= Na tptp.zero_zero_nat)) (= (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.inverse_divide_real) (tptp.hAPP_r474017924t_real (tptp.hAPP_f42270917t_real tptp.cOMBC_nat_real_real Diff) tptp.zero_zero_real))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.fact_fact_nat)))) (tptp.hAPP_r474017924t_real tptp.power_power_real Xa))) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na)) (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real Diff tptp.zero_zero_nat) tptp.zero_zero_real))))) (forall ((A $$unsorted) (K $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat K) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K) (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat A))))) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool A) _let_1)) (= A _let_1)))) (forall ((F $$unsorted) (G $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.ord_at4362885an_nat tptp.zero_zero_nat))) (let ((_let_2 (tptp.hAPP_n1699378549t_bool _let_1 Na))) (let ((_let_3 (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (= (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f335634176l_real tptp.cOMBS_337378985l_real (tptp.hAPP_f1129044203l_real (tptp.hAPP_f264196187l_real tptp.cOMBB_1480366270al_nat tptp.if_real) tptp.even_odd_even_nat)) F)) G)) (tptp.hAPP_n1699378549t_bool _let_1 (tptp.hAPP_nat_nat _let_3 Na))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat F) _let_3)) _let_2)) (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat G) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat (tptp.hAPP_f1639111240at_nat (tptp.hAPP_f1731313045at_nat tptp.cOMBB_963856155at_nat tptp.plus_plus_nat) _let_3)) tptp.one_one_nat))) _let_2))))))) (forall ((Na $$unsorted)) (= (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min))) tptp.suc)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) Na))) tptp.zero_zero_real)) (forall ((Na $$unsorted)) (= (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_r474017924t_real (tptp.hAPP_f42270917t_real tptp.cOMBC_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f335634176l_real tptp.cOMBS_337378985l_real (tptp.hAPP_f1129044203l_real (tptp.hAPP_f264196187l_real tptp.cOMBB_1480366270al_nat tptp.if_real) tptp.even_odd_even_nat)) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.inverse_divide_real) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min))) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.div_div_nat) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.fact_fact_nat)))) (tptp.hAPP_r474017924t_real tptp.power_power_real tptp.zero_zero_real)))) tptp.zero_zero_real)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.one_one_nat) Na)) tptp.zero_zero_real)) (forall ((Na $$unsorted)) (= (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_r474017924t_real (tptp.hAPP_f42270917t_real tptp.cOMBC_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f335634176l_real tptp.cOMBS_337378985l_real (tptp.hAPP_f1129044203l_real (tptp.hAPP_f264196187l_real tptp.cOMBB_1480366270al_nat tptp.if_real) tptp.even_odd_even_nat)) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.inverse_divide_real) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min))) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.div_div_nat) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls))))))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.fact_fact_nat)))) tptp.zero_zero_real))) (tptp.hAPP_r474017924t_real tptp.power_power_real tptp.zero_zero_real))) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) (tptp.hAPP_nat_nat tptp.suc Na))) tptp.one_one_real)) (forall ((Na $$unsorted) (Xa $$unsorted)) (exists ((T $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real Xa))) (let ((_let_2 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real T)) (tptp.hAPP_real_real tptp.abs_abs_real Xa))) (= (tptp.hAPP_real_real tptp.sin Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_r195310020l_real (tptp.hAPP_f2126667875l_real tptp.cOMBC_746811033l_real (tptp.hAPP_f1129044203l_real (tptp.hAPP_f264196187l_real tptp.cOMBB_1480366270al_nat tptp.if_real) tptp.even_odd_even_nat)) tptp.zero_zero_real)) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.inverse_divide_real) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min))) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat (tptp.hAPP_f1639111240at_nat (tptp.hAPP_f1731313045at_nat tptp.cOMBB_963856155at_nat tptp.div_div_nat) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.minus_minus_nat) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (tptp.hAPP_int_nat tptp.number_number_of_nat _let_2))))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.fact_fact_nat))))) _let_1)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real tptp.sin (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real T) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.one_one_real) (tptp.hAPP_int_real tptp.number267125858f_real _let_2))) (tptp.hAPP_nat_real tptp.real_nat Na))) tptp.pi)))) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat Na)))) (tptp.hAPP_nat_real _let_1 Na))))))))) (forall ((Na $$unsorted) (Xa $$unsorted)) (exists ((T $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real Xa))) (let ((_let_2 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real T)) (tptp.hAPP_real_real tptp.abs_abs_real Xa))) (= (tptp.hAPP_real_real tptp.cos Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_r474017924t_real (tptp.hAPP_f42270917t_real tptp.cOMBC_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f335634176l_real tptp.cOMBS_337378985l_real (tptp.hAPP_f1129044203l_real (tptp.hAPP_f264196187l_real tptp.cOMBB_1480366270al_nat tptp.if_real) tptp.even_odd_even_nat)) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.inverse_divide_real) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min))) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.div_div_nat) (tptp.hAPP_int_nat tptp.number_number_of_nat _let_2))))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.fact_fact_nat)))) tptp.zero_zero_real))) _let_1)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real tptp.cos (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real T) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.one_one_real) (tptp.hAPP_int_real tptp.number267125858f_real _let_2))) (tptp.hAPP_nat_real tptp.real_nat Na))) tptp.pi)))) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat Na)))) (tptp.hAPP_nat_real _let_1 Na))))))))) (forall ((L $$unsorted) (U $$unsorted)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.hAPP_i1948725293t_bool (tptp.ord_at641636577an_int L) U)))) (forall ((U $$unsorted)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.hAPP_i1948725293t_bool (tptp.ord_at641636577an_int tptp.zero_zero_int) U)))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Ya) Xa)) (= (tptp.comple124823625p_real (tptp.hAPP_r1134773055l_bool (tptp.ord_at1496968948n_real Ya) Xa)) Xa))) (forall ((U $$unsorted)) (= (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_i1948725293t_bool (tptp.ord_at641636577an_int tptp.zero_zero_int) U)) (tptp.hAPP_int_nat tptp.nat U))) (forall ((L $$unsorted) (U $$unsorted)) (= (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_i1948725293t_bool (tptp.ord_at641636577an_int L) U)) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int U) L)))) (forall ((L $$unsorted) (U $$unsorted)) (= (tptp.hAPP_i1948725293t_bool (tptp.ord_at641636577an_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int L) tptp.one_one_int)) U) (tptp.hAPP_i1948725293t_bool (tptp.ord_gr1297742076an_int L) U))) (forall ((L $$unsorted) (U $$unsorted)) (= (tptp.image_int_int (tptp.hAPP_int_fun_int_int (tptp.hAPP_f2135977429nt_int tptp.cOMBC_int_int_int tptp.plus_plus_int) L) (tptp.hAPP_i1948725293t_bool (tptp.ord_at641636577an_int tptp.zero_zero_int) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int U) L))) (tptp.hAPP_i1948725293t_bool (tptp.ord_at641636577an_int L) U))) (forall ((Xa $$unsorted) (Na $$unsorted)) (exists ((T $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real Xa))) (let ((_let_2 (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (= (tptp.hAPP_real_real tptp.sin Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_r195310020l_real (tptp.hAPP_f2126667875l_real tptp.cOMBC_746811033l_real (tptp.hAPP_f1129044203l_real (tptp.hAPP_f264196187l_real tptp.cOMBB_1480366270al_nat tptp.if_real) tptp.even_odd_even_nat)) tptp.zero_zero_real)) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.inverse_divide_real) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min))) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat (tptp.hAPP_f1639111240at_nat (tptp.hAPP_f1731313045at_nat tptp.cOMBB_963856155at_nat tptp.div_div_nat) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.minus_minus_nat) (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)))) (tptp.hAPP_int_nat tptp.number_number_of_nat _let_2))))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.fact_fact_nat))))) _let_1)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real tptp.sin (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real T) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.one_one_real) (tptp.hAPP_int_real tptp.number267125858f_real _let_2))) (tptp.hAPP_nat_real tptp.real_nat Na))) tptp.pi)))) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat Na)))) (tptp.hAPP_nat_real _let_1 Na)))))))) (forall ((B $$unsorted) (K $$unsorted) (Diff $$unsorted) (H $$unsorted) (Na $$unsorted)) (=> (forall ((M_1 $$unsorted) (T $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real T) H))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_n546711566l_real Diff M_1) T) (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real Diff (tptp.hAPP_nat_nat tptp.suc M_1)) T))))) (=> (= Na (tptp.hAPP_nat_nat tptp.suc K)) (forall ((M_1 $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc M_1))) (let ((_let_2 (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat Na))) (let ((_let_3 (tptp.hAPP_nat_nat _let_2 _let_1))) (let ((_let_4 (tptp.hAPP_r474017924t_real tptp.power_power_real T))) (let ((_let_5 (tptp.hAPP_r1250527377l_real tptp.times_times_real B))) (let ((_let_6 (tptp.ord_at4362885an_nat tptp.zero_zero_nat))) (let ((_let_7 (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.fact_fact_nat))) (let ((_let_8 (tptp.hAPP_f224989205l_real tptp.cOMBB_1419615765al_nat Diff))) (let ((_let_9 (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.inverse_divide_real))) (let ((_let_10 (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real))) (let ((_let_11 (tptp.hAPP_nat_nat _let_2 M_1))) (=> (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real T) H))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_f1950183573l_real (tptp.hAPP_f2069516469l_real tptp.cOMBS_real_real_real (tptp.hAPP_f556082547l_real (tptp.hAPP_f1960414057l_real tptp.cOMBB_882763271l_real tptp.minus_minus_real) (tptp.hAPP_n546711566l_real Diff M_1))) (tptp.hAPP_f1950183573l_real (tptp.hAPP_f2069516469l_real tptp.cOMBS_real_real_real (tptp.hAPP_f556082547l_real (tptp.hAPP_f1960414057l_real tptp.cOMBB_882763271l_real tptp.plus_plus_real) (tptp.hAPP_f2119584768l_real (tptp.hAPP_f59594445l_real tptp.cOMBC_2010481033l_real (tptp.hAPP_f1523861863l_real (tptp.hAPP_f1067681227l_real tptp.cOMBB_1934313333l_real tptp.big_co604158596t_real) (tptp.hAPP_f1993765077t_real (tptp.hAPP_f895854793t_real tptp.cOMBB_1948233853l_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real _let_10 (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real _let_9 (tptp.hAPP_r474017924t_real (tptp.hAPP_f42270917t_real tptp.cOMBC_nat_real_real (tptp.hAPP_f1904307534l_real _let_8 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat M_1))) tptp.zero_zero_real))) _let_7)))) tptp.power_power_real))) (tptp.hAPP_n1699378549t_bool _let_6 _let_11)))) (tptp.hAPP_f1950183573l_real (tptp.hAPP_f1992866895l_real tptp.cOMBB_real_real_real _let_5) (tptp.hAPP_r1250527377l_real (tptp.hAPP_f203520653l_real tptp.cOMBC_real_real_real (tptp.hAPP_f556082547l_real (tptp.hAPP_f1960414057l_real tptp.cOMBB_882763271l_real tptp.inverse_divide_real) (tptp.hAPP_n546711566l_real (tptp.hAPP_f248847589l_real tptp.cOMBC_real_nat_real tptp.power_power_real) _let_11))) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat _let_11)))))) T) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real Diff _let_1) T)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real _let_10 (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real _let_9 (tptp.hAPP_r474017924t_real (tptp.hAPP_f42270917t_real tptp.cOMBC_nat_real_real (tptp.hAPP_f1904307534l_real _let_8 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat _let_1))) tptp.zero_zero_real))) _let_7))) _let_4)) (tptp.hAPP_n1699378549t_bool _let_6 _let_3))) (tptp.hAPP_real_real _let_5 (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_nat_real _let_4 _let_3)) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat _let_3)))))))))))))))))))))))) (forall ((Na $$unsorted) (Xa $$unsorted)) (=> (not (= Xa tptp.zero_zero_real)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (exists ((T $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real Xa))) (let ((_let_2 (tptp.hAPP_real_real tptp.abs_abs_real T))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) _let_2)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real _let_2) (tptp.hAPP_real_real tptp.abs_abs_real Xa))) (= (tptp.hAPP_real_real tptp.exp_real Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.inverse_divide_real) _let_1)) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.fact_fact_nat))) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real tptp.exp_real T)) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat Na)))) (tptp.hAPP_nat_real _let_1 Na))))))))))) (forall ((Na $$unsorted) (Xa $$unsorted)) (exists ((T $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real Xa))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real T)) (tptp.hAPP_real_real tptp.abs_abs_real Xa))) (= (tptp.hAPP_real_real tptp.exp_real Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.inverse_divide_real) _let_1)) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.fact_fact_nat))) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real tptp.exp_real T)) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat Na)))) (tptp.hAPP_nat_real _let_1 Na)))))))) (forall ((K $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.summable_real F)) (=> (forall ((D_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) D_2))) (let ((_let_2 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat K))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real F (tptp.hAPP_nat_nat _let_2 _let_1))) (tptp.hAPP_nat_real F (tptp.hAPP_nat_nat _let_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat _let_1) tptp.one_one_nat))))))))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real F) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) K))) (tptp.hAPP_f352196356l_real tptp.suminf_real F)))))) (forall ((F $$unsorted) (J $$unsorted) (Na $$unsorted) (H $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) H)) (exists ((B_6 $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real H))) (= (tptp.hAPP_real_real F H) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.inverse_divide_real) J)) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.fact_fact_nat)))) _let_1)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real B_6) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_nat_real _let_1 Na)) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat Na)))))))))) (forall ((Na $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.summable_real F)) (=> (forall ((M_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) M_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.hAPP_nat_real F M_1))))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real F) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na))) (tptp.hAPP_f352196356l_real tptp.suminf_real F)))))) (forall ((Na $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.summable_real F)) (=> (forall ((M_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) M_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_nat_real F M_1))))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real F) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na))) (tptp.hAPP_f352196356l_real tptp.suminf_real F)))))) (forall ((Na $$unsorted) (Xa $$unsorted) (Diff $$unsorted) (F $$unsorted)) (=> (and (= (tptp.hAPP_n546711566l_real Diff tptp.zero_zero_nat) F) (forall ((M_1 $$unsorted) (X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_n546711566l_real Diff M_1) X_1) (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real Diff (tptp.hAPP_nat_nat tptp.suc M_1)) X_1)))) (not (= Xa tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na))) (exists ((T $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real Xa))) (let ((_let_2 (tptp.hAPP_real_real tptp.abs_abs_real T))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) _let_2)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real _let_2) (tptp.hAPP_real_real tptp.abs_abs_real Xa))) (= (tptp.hAPP_real_real F Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.inverse_divide_real) (tptp.hAPP_r474017924t_real (tptp.hAPP_f42270917t_real tptp.cOMBC_nat_real_real Diff) tptp.zero_zero_real))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.fact_fact_nat)))) _let_1)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real Diff Na) T)) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat Na)))) (tptp.hAPP_nat_real _let_1 Na)))))))))) (forall ((Xa $$unsorted) (Na $$unsorted) (Diff $$unsorted) (F $$unsorted)) (=> (= (tptp.hAPP_n546711566l_real Diff tptp.zero_zero_nat) F) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (=> (not (= Xa tptp.zero_zero_real)) (=> (forall ((M_1 $$unsorted) (X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_n546711566l_real Diff M_1) X_1) (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real Diff (tptp.hAPP_nat_nat tptp.suc M_1)) X_1)))) (exists ((T $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real Xa))) (let ((_let_2 (tptp.hAPP_real_real tptp.abs_abs_real T))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) _let_2)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real _let_2) (tptp.hAPP_real_real tptp.abs_abs_real Xa))) (= (tptp.hAPP_real_real F Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.inverse_divide_real) (tptp.hAPP_r474017924t_real (tptp.hAPP_f42270917t_real tptp.cOMBC_nat_real_real Diff) tptp.zero_zero_real))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.fact_fact_nat)))) _let_1)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real Diff Na) T)) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat Na)))) (tptp.hAPP_nat_real _let_1 Na))))))))))))) (forall ((Xa $$unsorted) (Na $$unsorted) (Diff $$unsorted) (F $$unsorted)) (=> (= (tptp.hAPP_n546711566l_real Diff tptp.zero_zero_nat) F) (=> (forall ((M_1 $$unsorted) (T $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real T)) (tptp.hAPP_real_real tptp.abs_abs_real Xa)))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_n546711566l_real Diff M_1) T) (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real Diff (tptp.hAPP_nat_nat tptp.suc M_1)) T))))) (exists ((T $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real Xa))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real T)) (tptp.hAPP_real_real tptp.abs_abs_real Xa))) (= (tptp.hAPP_real_real F Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.inverse_divide_real) (tptp.hAPP_r474017924t_real (tptp.hAPP_f42270917t_real tptp.cOMBC_nat_real_real Diff) tptp.zero_zero_real))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.fact_fact_nat)))) _let_1)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real Diff Na) T)) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat Na)))) (tptp.hAPP_nat_real _let_1 Na)))))))))) (forall ((Diff $$unsorted) (F $$unsorted) (Na $$unsorted) (H $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) H)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (= (tptp.hAPP_n546711566l_real Diff tptp.zero_zero_nat) F) (forall ((M_1 $$unsorted) (T $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real T) H))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_n546711566l_real Diff M_1) T) (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real Diff (tptp.hAPP_nat_nat tptp.suc M_1)) T)))))) (exists ((T $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real H))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) T)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real T) H)) (= (tptp.hAPP_real_real F H) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.inverse_divide_real) (tptp.hAPP_r474017924t_real (tptp.hAPP_f42270917t_real tptp.cOMBC_nat_real_real Diff) tptp.zero_zero_real))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.fact_fact_nat)))) _let_1)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real Diff Na) T)) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat Na)))) (tptp.hAPP_nat_real _let_1 Na))))))))) (forall ((Na $$unsorted) (Diff $$unsorted) (F $$unsorted) (H $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) H)) (= (tptp.hAPP_n546711566l_real Diff tptp.zero_zero_nat) F) (forall ((M_1 $$unsorted) (T $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real T) H))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_n546711566l_real Diff M_1) T) (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real Diff (tptp.hAPP_nat_nat tptp.suc M_1)) T)))))) (exists ((T $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real H))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) T)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real T) H)) (= (tptp.hAPP_real_real F H) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.inverse_divide_real) (tptp.hAPP_r474017924t_real (tptp.hAPP_f42270917t_real tptp.cOMBC_nat_real_real Diff) tptp.zero_zero_real))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.fact_fact_nat)))) _let_1)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real Diff Na) T)) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat Na)))) (tptp.hAPP_nat_real _let_1 Na))))))))) (forall ((Diff $$unsorted) (F $$unsorted) (Na $$unsorted) (H $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real H) tptp.zero_zero_real)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (=> (= (tptp.hAPP_n546711566l_real Diff tptp.zero_zero_nat) F) (=> (forall ((M_1 $$unsorted) (T $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real H) T)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real T) tptp.zero_zero_real))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_n546711566l_real Diff M_1) T) (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real Diff (tptp.hAPP_nat_nat tptp.suc M_1)) T))))) (exists ((T $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real H))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real H) T)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real T) tptp.zero_zero_real)) (= (tptp.hAPP_real_real F H) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.inverse_divide_real) (tptp.hAPP_r474017924t_real (tptp.hAPP_f42270917t_real tptp.cOMBC_nat_real_real Diff) tptp.zero_zero_real))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.fact_fact_nat)))) _let_1)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real Diff Na) T)) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat Na)))) (tptp.hAPP_nat_real _let_1 Na)))))))))))) (forall ((Na $$unsorted) (Diff $$unsorted) (F $$unsorted) (H $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) H)) (=> (= (tptp.hAPP_n546711566l_real Diff tptp.zero_zero_nat) F) (=> (forall ((M_1 $$unsorted) (T $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real T) H))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_n546711566l_real Diff M_1) T) (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real Diff (tptp.hAPP_nat_nat tptp.suc M_1)) T))))) (exists ((T $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real H))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) T)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real T) H)) (= (tptp.hAPP_real_real F H) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.inverse_divide_real) (tptp.hAPP_r474017924t_real (tptp.hAPP_f42270917t_real tptp.cOMBC_nat_real_real Diff) tptp.zero_zero_real))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.fact_fact_nat)))) _let_1)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real Diff Na) T)) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat Na)))) (tptp.hAPP_nat_real _let_1 Na))))))))))) (forall ((Diff $$unsorted) (F $$unsorted) (Na $$unsorted) (H $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real H) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (= (tptp.hAPP_n546711566l_real Diff tptp.zero_zero_nat) F) (forall ((M_1 $$unsorted) (T $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real H) T)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real T) tptp.zero_zero_real))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_n546711566l_real Diff M_1) T) (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real Diff (tptp.hAPP_nat_nat tptp.suc M_1)) T)))))) (exists ((T $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real H))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real H) T)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real T) tptp.zero_zero_real)) (= (tptp.hAPP_real_real F H) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.inverse_divide_real) (tptp.hAPP_r474017924t_real (tptp.hAPP_f42270917t_real tptp.cOMBC_nat_real_real Diff) tptp.zero_zero_real))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.fact_fact_nat)))) _let_1)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real Diff Na) T)) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat Na)))) (tptp.hAPP_nat_real _let_1 Na))))))))) (forall ((Diff $$unsorted) (F $$unsorted) (Na $$unsorted) (H $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) H)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (=> (= (tptp.hAPP_n546711566l_real Diff tptp.zero_zero_nat) F) (=> (forall ((M_1 $$unsorted) (T $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat M_1) Na)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real T) H))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_n546711566l_real Diff M_1) T) (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real Diff (tptp.hAPP_nat_nat tptp.suc M_1)) T))))) (exists ((T $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real H))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) T)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real T) H)) (= (tptp.hAPP_real_real F H) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.inverse_divide_real) (tptp.hAPP_r474017924t_real (tptp.hAPP_f42270917t_real tptp.cOMBC_nat_real_real Diff) tptp.zero_zero_real))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.fact_fact_nat)))) _let_1)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real Diff Na) T)) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat Na)))) (tptp.hAPP_nat_real _let_1 Na)))))))))))) (forall ((Na $$unsorted) (Xa $$unsorted) (Diff $$unsorted) (F $$unsorted)) (=> (= (tptp.hAPP_n546711566l_real Diff tptp.zero_zero_nat) F) (=> (forall ((M_1 $$unsorted) (X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_n546711566l_real Diff M_1) X_1) (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real Diff (tptp.hAPP_nat_nat tptp.suc M_1)) X_1)))) (exists ((T $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real Xa))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real T)) (tptp.hAPP_real_real tptp.abs_abs_real Xa))) (= (tptp.hAPP_real_real F Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.inverse_divide_real) (tptp.hAPP_r474017924t_real (tptp.hAPP_f42270917t_real tptp.cOMBC_nat_real_real Diff) tptp.zero_zero_real))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.fact_fact_nat)))) _let_1)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real Diff Na) T)) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat Na)))) (tptp.hAPP_nat_real _let_1 Na)))))))))) (forall ((Na $$unsorted) (Xa $$unsorted) (Diff $$unsorted) (F $$unsorted)) (=> (and (= (tptp.hAPP_n546711566l_real Diff tptp.zero_zero_nat) F) (forall ((M_1 $$unsorted) (X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_n546711566l_real Diff M_1) X_1) (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real Diff (tptp.hAPP_nat_nat tptp.suc M_1)) X_1))))) (exists ((T $$unsorted)) (let ((_let_1 (tptp.hAPP_r474017924t_real tptp.power_power_real Xa))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real T)) (tptp.hAPP_real_real tptp.abs_abs_real Xa))) (= (tptp.hAPP_real_real F Xa) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.inverse_divide_real) (tptp.hAPP_r474017924t_real (tptp.hAPP_f42270917t_real tptp.cOMBC_nat_real_real Diff) tptp.zero_zero_real))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.fact_fact_nat)))) _let_1)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real Diff Na) T)) (tptp.hAPP_nat_real tptp.real_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat Na)))) (tptp.hAPP_nat_real _let_1 Na))))))))) (forall ((F $$unsorted) (K_3 $$unsorted) (Na $$unsorted)) (=> (forall ((P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat P_4) Na)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real F P_4)) K_3)))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real F) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na))) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real (tptp.hAPP_nat_real tptp.real_nat Na)) K_3))))) (forall ((F $$unsorted) (Xa $$unsorted) (F_1 $$unsorted) (Na $$unsorted) (Ma $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat Ma) Na))) (=> (forall ((R_1 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Ma) R_1)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat R_1) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Ma) Na)))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_n546711566l_real F R_1) Xa) (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real F_1 R_1) Xa))))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real (tptp.hAPP_f2119584768l_real (tptp.hAPP_f59594445l_real tptp.cOMBC_2010481033l_real (tptp.hAPP_f1523861863l_real (tptp.hAPP_f1067681227l_real tptp.cOMBB_1934313333l_real tptp.big_co604158596t_real) (tptp.hAPP_f42270917t_real tptp.cOMBC_nat_real_real F))) _let_1) Xa) (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real (tptp.hAPP_r474017924t_real (tptp.hAPP_f42270917t_real tptp.cOMBC_nat_real_real F_1) Xa)) _let_1)))))) (forall ((Xa $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.summable_real F)) (=> (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real F) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) N_1))) Xa))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_f352196356l_real tptp.suminf_real F)) Xa))))) (forall ((F $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.nat_nat_set A)) (=> (forall ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.is_int X_1) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X_1)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int F X_1))))))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_f1594865479ol_int (tptp.hAPP_f1926459811ol_int tptp.big_co230513141nt_int F) A)))))) (forall ((Xa $$unsorted) (F $$unsorted)) (=> (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_nat_real F N_1)))) (=> (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real F) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) N_1))) Xa))) (tptp.hBOOL (tptp.summable_real F))))) (forall ((A_1 $$unsorted) (D_1 $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int A_1))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) (tptp.hAPP_f659380387ol_int (tptp.hAPP_f1599440987ol_int tptp.big_co1024481617at_int (tptp.hAPP_f1139079189at_int (tptp.hAPP_f1431025877at_int tptp.cOMBB_int_int_nat _let_1) (tptp.hAPP_int_fun_nat_int (tptp.hAPP_f1673103573at_int tptp.cOMBC_nat_int_int (tptp.hAPP_f1935805932nt_int (tptp.hAPP_f125788821nt_int tptp.cOMBB_859312247nt_nat tptp.times_times_int) tptp.semiri1621563631at_int)) D_1))) (tptp.hAPP_n1699378549t_bool tptp.ord_lessThan_nat Na))) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int Na)) (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat Na) tptp.one_one_nat))) D_1))))))) (forall ((K_3 $$unsorted) (K $$unsorted) (F $$unsorted)) (=> (forall ((N_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_real F N_1))) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real K) _let_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real _let_1) K_3))))) (tptp.hBOOL (tptp.bseq_real F)))) (forall ((K $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.hAPP_n1699378549t_bool tptp.ord_lessThan_nat K)))) (forall ((U $$unsorted)) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_n1699378549t_bool tptp.ord_lessThan_nat U)) U)) (forall ((S $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat S)) (exists ((K_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool S) (tptp.hAPP_n1699378549t_bool tptp.ord_lessThan_nat K_1)))))) (forall ((Na $$unsorted)) (= (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) Na) (tptp.hAPP_n1699378549t_bool tptp.ord_lessThan_nat Na))) (forall ((A_1 $$unsorted) (D_1 $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat A_1))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat))) (tptp.hAPP_f22106695ol_nat (tptp.hAPP_f782000547ol_nat tptp.big_co387207925at_nat (tptp.hAPP_f1914919701at_nat (tptp.hAPP_f1585078997at_nat tptp.cOMBB_nat_nat_nat _let_1) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.times_times_nat) D_1))) (tptp.hAPP_n1699378549t_bool tptp.ord_lessThan_nat Na))) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat Na) (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat _let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat Na) tptp.one_one_nat)) D_1))))))) (forall ((U $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) U)) (= (tptp.hAPP_i1948725293t_bool (tptp.ord_at641636577an_int tptp.zero_zero_int) U) (tptp.image_nat_int tptp.semiri1621563631at_int (tptp.hAPP_n1699378549t_bool tptp.ord_lessThan_nat (tptp.hAPP_int_nat tptp.nat U)))))) (forall ((S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat S)) (exists ((K_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool S) (tptp.hAPP_n1699378549t_bool tptp.ord_lessThan_nat K_1)))))) (forall ((Na $$unsorted) (Q_3 $$unsorted) (P_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_n1699378549t_bool tptp.ord_lessThan_nat Na))) (=> (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat (tptp.hAPP_nat_nat Q_3 X_1)) (tptp.hAPP_nat_nat P_1 X_1)))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_f22106695ol_nat (tptp.hAPP_f782000547ol_nat tptp.big_co387207925at_nat P_1) _let_1)) (tptp.hAPP_f22106695ol_nat (tptp.hAPP_f782000547ol_nat tptp.big_co387207925at_nat Q_3) _let_1)) (tptp.hAPP_f22106695ol_nat (tptp.hAPP_f782000547ol_nat tptp.big_co387207925at_nat (tptp.hAPP_f1914919701at_nat (tptp.hAPP_f1408247010at_nat tptp.cOMBS_nat_nat_nat (tptp.hAPP_f1639111240at_nat (tptp.hAPP_f1731313045at_nat tptp.cOMBB_963856155at_nat tptp.minus_minus_nat) P_1)) Q_3)) _let_1))))) (forall ((Xa $$unsorted)) (= (tptp.comple124823625p_real (tptp.hAPP_r1134773055l_bool tptp.ord_lessThan_real Xa)) Xa)) (forall ((P_2 $$unsorted) (P_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool (tptp.hAPP_f2144054103l_bool (tptp.hAPP_f1734373249l_bool tptp.cOMBB_1652995168ol_int tptp.fconj) (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))))) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_int X_1) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) X_1)) (= (tptp.hBOOL (tptp.hAPP_int_bool P_1 X_1)) (tptp.hBOOL (tptp.hAPP_int_bool P_2 X_1)))))) (= (tptp.collect_int (tptp.hAPP_f1805168059t_bool _let_1 P_1)) (tptp.collect_int (tptp.hAPP_f1805168059t_bool _let_1 P_2)))))) (forall ((P_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1175774780nt_int tptp.product_snd_int_int P_3))) (let ((_let_2 (tptp.hAPP_P1175774780nt_int tptp.product_fst_int_int P_3))) (let ((_let_3 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int _let_2) _let_1))) (let ((_let_4 (tptp.hAPP_int_int tptp.uminus_uminus_int _let_3))) (let ((_let_5 (tptp.hAPP_int_fun_int_int tptp.div_div_int _let_1))) (let ((_let_6 (tptp.hAPP_int_fun_int_int tptp.div_div_int _let_2))) (let ((_let_7 (tptp.normalize P_3))) (let ((_let_8 (= _let_1 tptp.zero_zero_int))) (let ((_let_9 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) _let_1)))) (and (=> _let_9 (= _let_7 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int (tptp.hAPP_int_int _let_6 _let_3)) (tptp.hAPP_int_int _let_5 _let_3)))) (=> (not _let_9) (and (=> _let_8 (= _let_7 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int tptp.zero_zero_int) tptp.one_one_int))) (=> (not _let_8) (= _let_7 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int (tptp.hAPP_int_int _let_6 _let_4)) (tptp.hAPP_int_int _let_5 _let_4))))))))))))))))) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int X) Y)) Y))) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int X) Y)) X))) (forall ((N $$unsorted) (M $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int A_3) B_2) tptp.one_one_int) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_3) N)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int B_2) M)) tptp.one_one_int))) (forall ((N $$unsorted) (M $$unsorted) (R_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int M) R_2)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int N) R_2)) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int M) N) tptp.one_one_int) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int M) N)) R_2)))))) (forall ((Ma $$unsorted) (K $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int K))) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int K) Na) tptp.one_one_int) (= (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int Ma) Na))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Ma)))))) (forall ((M $$unsorted) (K_2 $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int K_2))) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int K_2) N) tptp.one_one_int) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int M) N))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 M)))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int A_3) B_2))) (=> (and (tptp.is_int B_2) (tptp.is_int A_3)) (=> (or (not (= A_3 tptp.zero_zero_int)) (not (= B_2 tptp.zero_zero_int))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) _let_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int B_2) _let_1)) tptp.one_one_int))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int A_3) B_2))) (= (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int A_3) _let_1)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int B_2) _let_1)) (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_3) B_2)))) (forall ((X $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int X) tptp.zero_zero_int) (tptp.hAPP_int_int tptp.abs_abs_int X))) (forall ((X $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int tptp.zero_zero_int) X) (tptp.hAPP_int_int tptp.abs_abs_int X))) (forall ((M $$unsorted) (K_2 $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int M))) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K_2) M)) N)) (tptp.hAPP_int_int _let_1 N)))) (forall ((K_2 $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.times_times_int K_2))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int (tptp.hAPP_int_int tptp.abs_abs_int K_2)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int M) N)) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int (tptp.hAPP_int_int _let_1 M)) (tptp.hAPP_int_int _let_1 N))))) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int M) N)) N) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int M) N))) (forall ((M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int M))) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int M) N)) (tptp.hAPP_int_int _let_1 N)))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int X) Y)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int X) Y) (tptp.hAPP_int_int tptp.abs_abs_int X)))) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int Y) X)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int X) Y) (tptp.hAPP_int_int tptp.abs_abs_int Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int X) Y))) (= (tptp.hAPP_int_int tptp.abs_abs_int _let_1) _let_1))) (forall ((X $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int X) X) (tptp.hAPP_int_int tptp.abs_abs_int X))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int X) Y) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int (tptp.hAPP_int_int tptp.abs_abs_int X)) (tptp.hAPP_int_int tptp.abs_abs_int Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int X))) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int tptp.abs_abs_int Y)) (tptp.hAPP_int_int _let_1 Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int (tptp.hAPP_int_int tptp.abs_abs_int X)) Y) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int X) Y))) (forall ((N $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int N) tptp.one_one_int)) N) tptp.one_one_int)) (forall ((N $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int N) tptp.one_one_int)) N) tptp.one_one_int)) (forall ((M $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int M) tptp.one_one_int) tptp.one_one_int)) (forall ((E_1 $$unsorted) (B_2 $$unsorted) (D_3 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int D_3) A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int E_1) B_2)) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int A_3) B_2) tptp.one_one_int) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int D_3) E_1) tptp.one_one_int))))) (forall ((N $$unsorted) (D_3 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int D_3))) (=> (= (tptp.hAPP_int_int _let_1 A_3) tptp.one_one_int) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_3) N)) tptp.one_one_int)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int X) Y) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int Y) (tptp.hAPP_int_int (tptp.div_mod_int X) Y)))) (forall ((A_3 $$unsorted) (N $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int A_3) N)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int B_2) N)) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int A_3) B_2)) N))) (forall ((I $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int I))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int M) N))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 N))))) (forall ((I $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int I))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int M) N))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 M))))) (forall ((N $$unsorted) (K_2 $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int K_2))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 M)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 N)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int M) N))))))) (forall ((K $$unsorted) (Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int K))) (= (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int Ma) Na))) (and (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Ma)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Na)))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int A_3) B_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int B_2) A_3))) (forall ((B_2 $$unsorted) (A_3 $$unsorted) (C_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int B_2))) (let ((_let_2 (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int A_3))) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int _let_2 C_1)) (tptp.hAPP_int_int _let_2 (tptp.hAPP_int_int _let_1 C_1)))))) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (C_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int A_3))) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int (tptp.hAPP_int_int _let_1 B_2)) C_1) (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int B_2) C_1))))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int X))) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int tptp.uminus_uminus_int Y)) (tptp.hAPP_int_int _let_1 Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int (tptp.hAPP_int_int tptp.uminus_uminus_int X)) Y) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int X) Y))) (forall ((Ma $$unsorted) (Na $$unsorted)) (=> (and (tptp.is_int Ma) (tptp.is_int Na)) (= (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int Ma) Na) tptp.zero_zero_int) (and (= Ma tptp.zero_zero_int) (= Na tptp.zero_zero_int))))) (forall ((Ma $$unsorted) (Na $$unsorted)) (=> (and (tptp.is_int Ma) (tptp.is_int Na)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int Ma) Na))) (or (not (= Ma tptp.zero_zero_int)) (not (= Na tptp.zero_zero_int)))))) (forall ((D_1 $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int D_1))) (= (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_1) B_1)) tptp.one_one_int) (and (= (tptp.hAPP_int_int _let_1 A_1) tptp.one_one_int) (= (tptp.hAPP_int_int _let_1 B_1) tptp.one_one_int))))) (forall ((M $$unsorted) (K_2 $$unsorted) (N $$unsorted)) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int K_2) N) tptp.one_one_int) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K_2) M)) N) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int M) N)))) (forall ((B_2 $$unsorted) (D_3 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int D_3))) (=> (= (tptp.hAPP_int_int _let_1 A_3) tptp.one_one_int) (=> (= (tptp.hAPP_int_int _let_1 B_2) tptp.one_one_int) (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) B_2)) tptp.one_one_int))))) (forall ((D_3 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int D_3))) (=> (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) B_2)) tptp.one_one_int) (= (tptp.hAPP_int_int _let_1 A_3) tptp.one_one_int)))) (forall ((D_3 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int D_3))) (=> (= (tptp.hAPP_int_int _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_3) B_2)) tptp.one_one_int) (= (tptp.hAPP_int_int _let_1 B_2) tptp.one_one_int)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int X)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Y)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat X) Y)))) (forall ((B_5 $$unsorted) (A_5 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int A_3) B_2))) (=> (not (= _let_1 tptp.zero_zero_int)) (=> (= A_3 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_5) _let_1)) (=> (= B_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_5) _let_1)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int A_5) B_5) tptp.one_one_int)))))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) Y)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int X) Y) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int Y) (tptp.hAPP_int_int (tptp.div_mod_int X) Y))))) (forall ((X $$unsorted) (Y $$unsorted) (M $$unsorted)) (=> (= (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int X) Y)) M) tptp.one_one_int) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int X) M) tptp.one_one_int))) (forall ((B_1 $$unsorted) (C $$unsorted) (A_1 $$unsorted) (D_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.abs_abs_int D_1))) (let ((_let_2 (tptp.hAPP_int_int tptp.abs_abs_int C))) (let ((_let_3 (tptp.hAPP_int_int tptp.abs_abs_int B_1))) (let ((_let_4 (tptp.hAPP_int_int tptp.abs_abs_int A_1))) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int A_1) D_1) tptp.one_one_int) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int B_1) C) tptp.one_one_int) (= (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int _let_4) _let_2) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int _let_3) _let_1)) (and (= _let_4 _let_3) (= _let_2 _let_1)))))))))) (forall ((B_1 $$unsorted) (A_1 $$unsorted) (D_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int D_1))) (=> (tptp.is_int D_1) (= (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) D_1)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_1)) (forall ((E $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int E))) (=> (tptp.is_int E) (=> (and (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_1))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 D_1))))))) (= D_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int A_1) B_1)))))) (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) A_3)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int A_3) B_2)) A_3)))) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_2)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int A_3) B_2)) B_2)))) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int X) Y)))) (forall ((Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Y)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int X) Y))))))) (forall ((P_1 $$unsorted) (Ya $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int Xa))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int _let_1 Ya))))) (let ((_let_3 (tptp.hAPP_int_int tptp.uminus_uminus_int Ya))) (let ((_let_4 (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int (tptp.hAPP_int_int tptp.uminus_uminus_int Xa)))) (let ((_let_5 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Ya) tptp.zero_zero_int)))) (let ((_let_6 (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Xa) tptp.zero_zero_int)))) (let ((_let_7 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (let ((_let_8 (tptp.hBOOL (tptp.hAPP_int_bool _let_7 Ya)))) (let ((_let_9 (tptp.hBOOL (tptp.hAPP_int_bool _let_7 Xa)))) (=> (=> _let_9 (=> _let_8 _let_2)) (=> (=> _let_9 (=> _let_5 (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int _let_1 _let_3))))) (=> (=> _let_6 (=> _let_8 (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int _let_4 Ya))))) (=> (=> _let_6 (=> _let_5 (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int _let_4 _let_3))))) _let_2)))))))))))))) (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int K) L) (tptp.hAPP_int_int tptp.abs_abs_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int (tptp.hAPP_b1463609396nt_int tptp.if_int (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.fequal_int L) tptp.zero_zero_int)) K) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int L) (tptp.hAPP_int_int (tptp.div_mod_int (tptp.hAPP_int_int tptp.abs_abs_int K)) (tptp.hAPP_int_int tptp.abs_abs_int L))))))) (forall ((X $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int X))) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int A_3) B_2) tptp.one_one_int) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_3)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_2)) (= (tptp.hAPP_int_int tptp.abs_abs_int X) tptp.one_one_int)))))) (forall ((R_2 $$unsorted) (P_3 $$unsorted) (Q_1 $$unsorted)) (=> (= (tptp.quotient_of R_2) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int P_3) Q_1)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int P_3) Q_1) tptp.one_one_int))) (forall ((R_2 $$unsorted) (P_3 $$unsorted) (Q_1 $$unsorted)) (=> (= (tptp.normalize R_2) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int P_3) Q_1)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int P_3) Q_1) tptp.one_one_int))) (forall ((A_1 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int A_1) B_1) tptp.one_one_int) (forall ((D_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int D_2))) (=> (tptp.is_int D_2) (= (and (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) D_2)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 A_1)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 B_1))) (= D_2 tptp.one_one_int))))))) (forall ((Y $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 Y)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat (tptp.hAPP_int_nat tptp.nat X)) (tptp.hAPP_int_nat tptp.nat Y)) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int X) Y))))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int X) Y) (tptp.hAPP_nat_int tptp.semiri1621563631at_int (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.gcd_gcd_nat (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int tptp.abs_abs_int X))) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int tptp.abs_abs_int Y)))))) (forall ((P_3 $$unsorted) (Q_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int tptp.product_Pair_int_int P_3) Q_1))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) Q_1)) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int P_3) Q_1) tptp.one_one_int) (= (tptp.normalize _let_1) _let_1))))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_f1961001761l_bool tptp.cOMBB_1550063917nt_int tptp.fconj))) (= (tptp.quotient_of Xa) (tptp.the_Pr2103884470nt_int (tptp.hAPP_f237669397t_bool (tptp.hAPP_f461489489t_bool tptp.cOMBS_400904860l_bool (tptp.hAPP_f365317245l_bool _let_1 (tptp.hAPP_f1084724746t_bool (tptp.hAPP_f374502857t_bool tptp.cOMBB_569260360nt_int (tptp.hAPP_r2115560837t_bool tptp.fequal_rat Xa)) (tptp.hAPP_f1065357839nt_rat (tptp.hAPP_f1120137083nt_rat tptp.cOMBS_549334880nt_rat (tptp.hAPP_f1547007718nt_rat (tptp.hAPP_f382317021nt_rat tptp.cOMBB_170828966nt_int tptp.fract) tptp.product_fst_int_int)) tptp.product_snd_int_int)))) (tptp.hAPP_f237669397t_bool (tptp.hAPP_f461489489t_bool tptp.cOMBS_400904860l_bool (tptp.hAPP_f365317245l_bool _let_1 (tptp.hAPP_f892584630t_bool (tptp.hAPP_f492612297t_bool tptp.cOMBB_798864284nt_int (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int)) tptp.product_snd_int_int))) (tptp.hAPP_i119638232t_bool (tptp.hAPP_f2018027565t_bool tptp.cOMBC_33652895t_bool (tptp.hAPP_f291087797t_bool (tptp.hAPP_f214467655t_bool tptp.cOMBB_182850971nt_int tptp.fequal_int) (tptp.hAPP_f521271395nt_int (tptp.hAPP_f1914742907nt_int tptp.cOMBS_2019229620nt_int (tptp.hAPP_f1855025978nt_int (tptp.hAPP_f1038672605nt_int tptp.cOMBB_1506897658nt_int tptp.gcd_gcd_int) tptp.product_fst_int_int)) tptp.product_snd_int_int))) tptp.one_one_int))))))) (forall ((R_2 $$unsorted)) (exists ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1175774780nt_int tptp.product_snd_int_int X_1))) (let ((_let_2 (tptp.hAPP_P1175774780nt_int tptp.product_fst_int_int X_1))) (and (= R_2 (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract _let_2) _let_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) _let_1)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int _let_2) _let_1) tptp.one_one_int) (forall ((Y_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_P1175774780nt_int tptp.product_snd_int_int Y_1))) (let ((_let_2 (tptp.hAPP_P1175774780nt_int tptp.product_fst_int_int Y_1))) (=> (and (= R_2 (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract _let_2) _let_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) _let_1)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int _let_2) _let_1) tptp.one_one_int)) (= Y_1 X_1)))))))))) (forall ((Q_1 $$unsorted)) (=> (forall ((A_2 $$unsorted) (B_4 $$unsorted)) (=> (and (tptp.is_int A_2) (tptp.is_int B_4)) (=> (= Q_1 (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_2) B_4)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_4)) (=> (not (= A_2 tptp.zero_zero_int)) (not (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int A_2) B_4) tptp.one_one_int))))))) (= Q_1 tptp.zero_zero_rat))) (forall ((Q_2 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_2 $$unsorted) (B_4 $$unsorted)) (=> (and (tptp.is_int A_2) (tptp.is_int B_4)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_4)) (=> (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int A_2) B_4) tptp.one_one_int) (tptp.hBOOL (tptp.hAPP_rat_bool P_1 (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_2) B_4))))))) (tptp.hBOOL (tptp.hAPP_rat_bool P_1 Q_2)))) (forall ((Q_1 $$unsorted)) (not (forall ((A_2 $$unsorted) (B_4 $$unsorted)) (=> (and (tptp.is_int A_2) (tptp.is_int B_4)) (=> (= Q_1 (tptp.hAPP_int_rat (tptp.hAPP_int_fun_int_rat tptp.fract A_2) B_4)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) B_4)) (not (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int A_2) B_4) tptp.one_one_int)))))))) (forall ((Na $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool tptp.finite1395289673t_bool S)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f628503027l_bool tptp.member_fun_int_bool X_1) S)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int X_1)))) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f215623910l_bool (tptp.hAPP_f628503027l_bool tptp.member_fun_int_bool X_1) S)) (= (tptp.hAPP_f957591787ol_nat tptp.finite_card_int X_1) Na))) (= (tptp.hAPP_f521865025ol_nat (tptp.hAPP_f93439879ol_nat tptp.big_co1758102091ol_nat tptp.finite_card_int) S) (tptp.hAPP_f521865025ol_nat (tptp.hAPP_f93439879ol_nat tptp.big_co1758102091ol_nat (tptp.cOMBK_1643584600t_bool Na)) S)))))) _let_27 _let_25 _let_23 (forall ((A_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)))) A_1))) (=> (tptp.hBOOL (tptp.tendsto_nat_real A_1 tptp.zero_zero_real tptp.sequentially)) (=> (tptp.hBOOL (tptp.monoseq_real A_1)) (tptp.hBOOL (tptp.tendsto_nat_real (tptp.hAPP_f292751352t_real (tptp.hAPP_f1607377819t_real tptp.cOMBB_1533963633al_nat (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real _let_1)) (tptp.hAPP_f618557131t_bool (tptp.hAPP_f1505651103t_bool tptp.cOMBB_800536526ol_nat (tptp.ord_at4362885an_nat tptp.zero_zero_nat)) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat (tptp.hAPP_f1639111240at_nat (tptp.hAPP_f1731313045at_nat tptp.cOMBB_963856155at_nat tptp.plus_plus_nat) (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) tptp.one_one_nat))) (tptp.hAPP_f352196356l_real tptp.suminf_real _let_1) tptp.sequentially)))))) (forall ((Ra $$unsorted)) (tptp.hBOOL (tptp.tendsto_nat_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat (tptp.hAPP_r1250527377l_real tptp.plus_plus_real Ra)) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat tptp.uminus_uminus_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat tptp.inverse_inverse_real) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.suc)))) Ra tptp.sequentially))) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real) Xa)) (tptp.hBOOL (tptp.tendsto_nat_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat tptp.inverse_inverse_real) (tptp.hAPP_r474017924t_real tptp.power_power_real Xa)) tptp.zero_zero_real tptp.sequentially)))) (forall ((A_1 $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.one_one_real) Xa)) (tptp.hBOOL (tptp.tendsto_nat_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real A_1)) (tptp.hAPP_r474017924t_real tptp.power_power_real Xa)) tptp.zero_zero_real tptp.sequentially)))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real tptp.abs_abs_real C))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real _let_1) tptp.one_one_real)) (tptp.hBOOL (tptp.tendsto_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real _let_1) tptp.zero_zero_real tptp.sequentially))))) (forall ((C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.abs_abs_real C)) tptp.one_one_real)) (tptp.hBOOL (tptp.tendsto_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real C) tptp.zero_zero_real tptp.sequentially)))) (tptp.hBOOL (tptp.tendsto_nat_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat tptp.inverse_inverse_real) (tptp.hAPP_f1676298106t_real _let_19 tptp.suc)) tptp.zero_zero_real tptp.sequentially)) (forall ((F $$unsorted) (L $$unsorted)) (=> (tptp.hBOOL (tptp.tendsto_nat_real F L tptp.sequentially)) (tptp.hBOOL (tptp.tendsto_nat_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat tptp.abs_abs_real) F) (tptp.hAPP_real_real tptp.abs_abs_real L) tptp.sequentially)))) (forall ((Ra $$unsorted)) (tptp.hBOOL (tptp.tendsto_nat_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat (tptp.hAPP_r1250527377l_real tptp.plus_plus_real Ra)) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat tptp.inverse_inverse_real) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.suc))) Ra tptp.sequentially))) (forall ((F $$unsorted)) (= (tptp.hBOOL (tptp.tendsto_nat_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat tptp.abs_abs_real) F) tptp.zero_zero_real tptp.sequentially)) (tptp.hBOOL (tptp.tendsto_nat_real F tptp.zero_zero_real tptp.sequentially)))) (forall ((Sb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Sb)) (tptp.hBOOL (tptp.tendsto_nat_real (tptp.hAPP_r474017924t_real (tptp.hAPP_f42270917t_real tptp.cOMBC_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.powr) tptp.real_nat)) (tptp.hAPP_real_real tptp.uminus_uminus_real Sb)) tptp.zero_zero_real tptp.sequentially)))) (forall ((Xa $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.monoseq_real A_1)) (=> (tptp.hBOOL (tptp.tendsto_nat_real A_1 Xa tptp.sequentially)) (or (and (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real A_1 N_1)) Xa))) (forall ((M_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) N_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real A_1 M_1)) (tptp.hAPP_nat_real A_1 N_1)))))) (and (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) (tptp.hAPP_nat_real A_1 N_1)))) (forall ((M_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) N_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real A_1 N_1)) (tptp.hAPP_nat_real A_1 M_1)))))))))) (forall ((A_1 $$unsorted) (X_2 $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.tendsto_nat_real X_2 Xa tptp.sequentially)) (=> (exists ((N_2 $$unsorted)) (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_2) N_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) (tptp.hAPP_nat_real X_2 N_1)))))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) Xa))))) (forall ((A_1 $$unsorted) (X_2 $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.tendsto_nat_real X_2 Xa tptp.sequentially)) (=> (exists ((N_2 $$unsorted)) (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_2) N_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real X_2 N_1)) A_1))))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) A_1))))) (forall ((Y_2 $$unsorted) (Ya $$unsorted) (X_2 $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.tendsto_nat_real X_2 Xa tptp.sequentially)) (=> (tptp.hBOOL (tptp.tendsto_nat_real Y_2 Ya tptp.sequentially)) (=> (exists ((N_2 $$unsorted)) (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_2) N_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real X_2 N_1)) (tptp.hAPP_nat_real Y_2 N_1)))))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) Ya)))))) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Xa)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) tptp.one_one_real)) (tptp.hBOOL (tptp.tendsto_nat_real (tptp.hAPP_r474017924t_real tptp.power_power_real Xa) tptp.zero_zero_real tptp.sequentially))))) (forall ((Ra $$unsorted)) (tptp.hBOOL (tptp.tendsto_nat_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat (tptp.hAPP_r1250527377l_real tptp.times_times_real Ra)) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat (tptp.hAPP_r1250527377l_real tptp.plus_plus_real tptp.one_one_real)) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat tptp.uminus_uminus_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat tptp.inverse_inverse_real) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) tptp.suc))))) Ra tptp.sequentially))) (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.tendsto_nat_real A_1 tptp.zero_zero_real tptp.sequentially)) (=> (tptp.hBOOL (tptp.monoseq_real A_1)) (tptp.hBOOL (tptp.summable_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)))) A_1)))))) (forall ((Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat (tptp.hAPP_f1639111240at_nat (tptp.hAPP_f1731313045at_nat tptp.cOMBB_963856155at_nat tptp.plus_plus_nat) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.times_times_nat) (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) tptp.one_one_nat))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real Xa)) tptp.one_one_real)) (tptp.hBOOL (tptp.tendsto_nat_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat (tptp.hAPP_r1250527377l_real tptp.inverse_divide_real tptp.one_one_real)) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat tptp.real_nat) _let_1)))) (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat (tptp.hAPP_r474017924t_real tptp.power_power_real Xa)) _let_1)) tptp.zero_zero_real tptp.sequentially))))) (= tptp.field_1210416355s_real (tptp.collect_real (tptp.hAPP_f101635158l_bool _let_18 (tptp.hAPP_f1341793266t_bool (tptp.hAPP_f571820015t_bool tptp.cOMBB_1159313332l_real (tptp.hAPP_f389116883t_bool tptp.cOMBB_1593174431ol_int tptp.fEx_nat)) (tptp.hAPP_f1115375056t_bool (tptp.hAPP_f271976045t_bool tptp.cOMBC_1801450329t_bool (tptp.hAPP_f1927674023t_bool (tptp.hAPP_f1261108921t_bool tptp.cOMBB_172850899l_real tptp.cOMBC_678732631t_bool) (tptp.hAPP_f2084827628t_bool (tptp.hAPP_f1121609875t_bool tptp.cOMBB_2125215742l_real (tptp.hAPP_f1182713365t_bool tptp.cOMBB_2087181719ol_int tptp.cOMBS_nat_bool_bool)) (tptp.hAPP_f834119977l_bool (tptp.hAPP_f848516149l_bool tptp.cOMBB_270132509l_real (tptp.hAPP_f643658017l_bool tptp.cOMBB_2046938128ol_int (tptp.hAPP_f1080886329l_bool tptp.cOMBB_1015721476ol_nat tptp.fconj))) (tptp.hAPP_f1459420095t_bool (tptp.hAPP_f693283245t_bool tptp.cOMBC_1113900202t_bool (tptp.hAPP_f77155443t_bool (tptp.hAPP_f403082607t_bool tptp.cOMBB_984071017l_real tptp.cOMBB_1647910634ol_int) (tptp.hAPP_f1840085295t_bool (tptp.hAPP_f1083049571t_bool tptp.cOMBB_2050079537l_real tptp.cOMBB_real_bool_nat) tptp.fequal_real))) (tptp.hAPP_f1613846310t_real (tptp.hAPP_f1720068861t_real tptp.cOMBC_295337211t_real (tptp.hAPP_f1295083291t_real (tptp.hAPP_f212164053t_real tptp.cOMBB_929094628al_int tptp.cOMBB_real_real_nat) _let_17)) tptp.real_nat)))))) (tptp.hAPP_f800510211t_bool (tptp.hAPP_f894608603t_bool tptp.cOMBB_bool_bool_nat tptp.fNot) (tptp.hAPP_n1699378549t_bool _let_12 tptp.zero_zero_nat))))))) (forall ((A_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)))) A_1))) (=> (tptp.hBOOL (tptp.tendsto_nat_real A_1 tptp.zero_zero_real tptp.sequentially)) (=> (tptp.hBOOL (tptp.monoseq_real A_1)) (tptp.hBOOL (tptp.tendsto_nat_real (tptp.hAPP_f292751352t_real (tptp.hAPP_f1607377819t_real tptp.cOMBB_1533963633al_nat (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real _let_1)) (tptp.hAPP_f618557131t_bool (tptp.hAPP_f1505651103t_bool tptp.cOMBB_800536526ol_nat (tptp.ord_at4362885an_nat tptp.zero_zero_nat)) (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (tptp.hAPP_f352196356l_real tptp.suminf_real _let_1) tptp.sequentially)))))) (forall ((Na $$unsorted) (A_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)))) A_1))) (=> (tptp.hBOOL (tptp.tendsto_nat_real A_1 tptp.zero_zero_real tptp.sequentially)) (=> (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_nat_real A_1 N_1)))) (=> (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real A_1 (tptp.hAPP_nat_nat tptp.suc N_1))) (tptp.hAPP_nat_real A_1 N_1)))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_f352196356l_real tptp.suminf_real _let_1)) (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real _let_1) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) Na)) tptp.one_one_nat)))))))))) (forall ((A_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)))) A_1))) (=> (tptp.hBOOL (tptp.tendsto_nat_real A_1 tptp.zero_zero_real tptp.sequentially)) (=> (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_nat_real A_1 N_1)))) (=> (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real A_1 (tptp.hAPP_nat_nat tptp.suc N_1))) (tptp.hAPP_nat_real A_1 N_1)))) (tptp.hBOOL (tptp.tendsto_nat_real (tptp.hAPP_f292751352t_real (tptp.hAPP_f1607377819t_real tptp.cOMBB_1533963633al_nat (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real _let_1)) (tptp.hAPP_f618557131t_bool (tptp.hAPP_f1505651103t_bool tptp.cOMBB_800536526ol_nat (tptp.ord_at4362885an_nat tptp.zero_zero_nat)) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat (tptp.hAPP_f1639111240at_nat (tptp.hAPP_f1731313045at_nat tptp.cOMBB_963856155at_nat tptp.plus_plus_nat) (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) tptp.one_one_nat))) (tptp.hAPP_f352196356l_real tptp.suminf_real _let_1) tptp.sequentially))))))) (forall ((X_2 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.tendsto_nat_complex X_2 A_1 tptp.sequentially)) (tptp.hBOOL (tptp.tendsto_nat_complex (tptp.hAPP_f1646117269omplex (tptp.hAPP_f1457396693omplex tptp.cOMBB_117013006ex_nat tptp.cnj) X_2) (tptp.hAPP_complex_complex tptp.cnj A_1) tptp.sequentially)))) (forall ((X_2 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.tendsto_nat_complex X_2 A_1 tptp.sequentially)) (tptp.hBOOL (tptp.tendsto_nat_real (tptp.hAPP_f1290670424t_real (tptp.hAPP_f327026105t_real tptp.cOMBB_722610049al_nat tptp.re) X_2) (tptp.hAPP_complex_real tptp.re A_1) tptp.sequentially)))) (forall ((X_2 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.tendsto_nat_complex X_2 A_1 tptp.sequentially)) (tptp.hBOOL (tptp.tendsto_nat_real (tptp.hAPP_f1290670424t_real (tptp.hAPP_f327026105t_real tptp.cOMBB_722610049al_nat tptp.im) X_2) (tptp.hAPP_complex_real tptp.im A_1) tptp.sequentially)))) (forall ((Y_2 $$unsorted) (B_1 $$unsorted) (X_2 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.tendsto_nat_real X_2 A_1 tptp.sequentially)) (=> (tptp.hBOOL (tptp.tendsto_nat_real Y_2 B_1 tptp.sequentially)) (tptp.hBOOL (tptp.tendsto_nat_complex (tptp.hAPP_f219720582omplex (tptp.hAPP_f1052840010omplex tptp.cOMBS_696648398omplex (tptp.hAPP_f23851874omplex (tptp.hAPP_f406530075omplex tptp.cOMBB_1714920583ex_nat tptp.complex) X_2)) Y_2) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex A_1) B_1) tptp.sequentially))))) (forall ((P_1 $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (let ((_let_1 (tptp.bolzano_bisect P_1 A_1 B_1))) (let ((_let_2 (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) B_1)))) (=> _let_2 (=> _let_2 (=> _let_2 (=> (tptp.hBOOL (tptp.tendsto_nat_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.minus_minus_real) (tptp.hAPP_f73570213t_real (tptp.hAPP_f918606171t_real tptp.cOMBB_64450052al_nat tptp.produc1935615926l_real) _let_1))) (tptp.hAPP_f73570213t_real (tptp.hAPP_f918606171t_real tptp.cOMBB_64450052al_nat tptp.produc556554744l_real) _let_1)) tptp.zero_zero_real tptp.sequentially)) (exists ((L_1 $$unsorted)) (let ((_let_1 (tptp.bolzano_bisect P_1 A_1 B_1))) (and (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_P731461727l_real tptp.produc1935615926l_real (tptp.hAPP_n332733730l_real (tptp.bolzano_bisect P_1 A_1 B_1) N_1))) L_1))) (tptp.hBOOL (tptp.tendsto_nat_real (tptp.hAPP_f73570213t_real (tptp.hAPP_f918606171t_real tptp.cOMBB_64450052al_nat tptp.produc1935615926l_real) _let_1) L_1 tptp.sequentially)) (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real L_1) (tptp.hAPP_P731461727l_real tptp.produc556554744l_real (tptp.hAPP_n332733730l_real (tptp.bolzano_bisect P_1 A_1 B_1) N_1))))) (tptp.hBOOL (tptp.tendsto_nat_real (tptp.hAPP_f73570213t_real (tptp.hAPP_f918606171t_real tptp.cOMBB_64450052al_nat tptp.produc556554744l_real) _let_1) L_1 tptp.sequentially)))))))))))) (forall ((A_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)))) A_1))) (=> (tptp.hBOOL (tptp.tendsto_nat_real A_1 tptp.zero_zero_real tptp.sequentially)) (=> (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_nat_real A_1 N_1)))) (=> (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real A_1 (tptp.hAPP_nat_nat tptp.suc N_1))) (tptp.hAPP_nat_real A_1 N_1)))) (tptp.hBOOL (tptp.tendsto_nat_real (tptp.hAPP_f292751352t_real (tptp.hAPP_f1607377819t_real tptp.cOMBB_1533963633al_nat (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real _let_1)) (tptp.hAPP_f618557131t_bool (tptp.hAPP_f1505651103t_bool tptp.cOMBB_800536526ol_nat (tptp.ord_at4362885an_nat tptp.zero_zero_nat)) (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))))) (tptp.hAPP_f352196356l_real tptp.suminf_real _let_1) tptp.sequentially))))))) (forall ((Na $$unsorted) (A_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)))) A_1))) (=> (tptp.hBOOL (tptp.tendsto_nat_real A_1 tptp.zero_zero_real tptp.sequentially)) (=> (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_nat_real A_1 N_1)))) (=> (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real A_1 (tptp.hAPP_nat_nat tptp.suc N_1))) (tptp.hAPP_nat_real A_1 N_1)))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_f1406902706l_real (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real _let_1) (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat tptp.zero_zero_nat) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) Na)))) (tptp.hAPP_f352196356l_real tptp.suminf_real _let_1)))))))) (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.tendsto_nat_real A_1 tptp.zero_zero_real tptp.sequentially)) (=> (tptp.hBOOL (tptp.monoseq_real A_1)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.hAPP_nat_real A_1 tptp.zero_zero_nat))) (forall ((N_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) N_1))) (let ((_let_2 (tptp.ord_at4362885an_nat tptp.zero_zero_nat))) (let ((_let_3 (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)))) A_1))) (let ((_let_4 (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real _let_3))) (tptp.hBOOL (tptp.hAPP_f1501066425l_bool (tptp.hAPP_r1130899993l_bool tptp.member_real (tptp.hAPP_f352196356l_real tptp.suminf_real _let_3)) (tptp.hAPP_r1134773055l_bool (tptp.ord_at1589558736t_real (tptp.hAPP_f1406902706l_real _let_4 (tptp.hAPP_n1699378549t_bool _let_2 _let_1))) (tptp.hAPP_f1406902706l_real _let_4 (tptp.hAPP_n1699378549t_bool _let_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat _let_1) tptp.one_one_nat))))))))))))))) (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.tendsto_nat_real A_1 tptp.zero_zero_real tptp.sequentially)) (=> (tptp.hBOOL (tptp.monoseq_real A_1)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_nat_real A_1 tptp.zero_zero_nat)) tptp.zero_zero_real)) (forall ((N_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.times_times_nat (tptp.hAPP_int_nat tptp.number_number_of_nat (tptp.hAPP_int_int tptp.bit0 (tptp.hAPP_int_int tptp.bit1 tptp.pls)))) N_1))) (let ((_let_2 (tptp.ord_at4362885an_nat tptp.zero_zero_nat))) (let ((_let_3 (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)))) A_1))) (let ((_let_4 (tptp.hAPP_f1509287679l_real tptp.big_co604158596t_real _let_3))) (tptp.hBOOL (tptp.hAPP_f1501066425l_bool (tptp.hAPP_r1130899993l_bool tptp.member_real (tptp.hAPP_f352196356l_real tptp.suminf_real _let_3)) (tptp.hAPP_r1134773055l_bool (tptp.ord_at1589558736t_real (tptp.hAPP_f1406902706l_real _let_4 (tptp.hAPP_n1699378549t_bool _let_2 (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat _let_1) tptp.one_one_nat)))) (tptp.hAPP_f1406902706l_real _let_4 (tptp.hAPP_n1699378549t_bool _let_2 _let_1)))))))))))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Ya) Xa)) (= (tptp.comple124823625p_real (tptp.hAPP_r1134773055l_bool (tptp.ord_at1589558736t_real Ya) Xa)) Xa))) (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.tendsto_nat_real A_1 tptp.zero_zero_real tptp.sequentially)) (=> (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_nat_real A_1 N_1)))) (=> (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real A_1 (tptp.hAPP_nat_nat tptp.suc N_1))) (tptp.hAPP_nat_real A_1 N_1)))) (tptp.hBOOL (tptp.summable_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat tptp.times_times_real) (tptp.hAPP_r474017924t_real tptp.power_power_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)))) A_1))))))) (forall ((L $$unsorted) (U $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat L) U)))) (forall ((L $$unsorted) (U $$unsorted)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.finite_finite_int (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int L) U)))) (forall ((P_1 $$unsorted) (Na $$unsorted)) (= (exists ((M_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) Na)) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 M_1)))) (exists ((X_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat tptp.zero_zero_nat) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 X_1)))))) (forall ((P_1 $$unsorted) (Na $$unsorted)) (= (forall ((M_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat M_1) Na)) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 M_1)))) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat X_1) (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat tptp.zero_zero_nat) Na))) (tptp.hBOOL (tptp.hAPP_nat_bool P_1 X_1)))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Xa)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.nat_nat_set (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int Xa) Ya))))) (forall ((L $$unsorted) (U $$unsorted)) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat L) U)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat tptp.suc U)) L))) (forall ((L $$unsorted) (U $$unsorted)) (= (tptp.hAPP_n1699378549t_bool (tptp.ord_at4362885an_nat L) (tptp.hAPP_nat_nat tptp.suc U)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat L) U))) (forall ((Na $$unsorted)) (= (tptp.hAPP_nat_nat tptp.fact_fact_nat Na) (tptp.big_co1705425894at_nat tptp.cOMBI_nat (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat tptp.one_one_nat) Na)))) (forall ((K $$unsorted) (I_1 $$unsorted) (J $$unsorted)) (= (tptp.image_nat_nat (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.plus_plus_nat) K) (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat I_1) J)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat I_1) K)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat J) K)))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat Ma) Na) (tptp.image_int_nat tptp.nat (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int (tptp.hAPP_nat_int tptp.semiri1621563631at_int Ma)) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Na))))) (forall ((I_1 $$unsorted) (J $$unsorted)) (= (tptp.image_nat_nat tptp.suc (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat I_1) J)) (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat (tptp.hAPP_nat_nat tptp.suc I_1)) (tptp.hAPP_nat_nat tptp.suc J)))) (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.tendsto_complex_real tptp.re (tptp.hAPP_complex_real tptp.re A_1) (tptp.at_complex A_1)))) (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.tendsto_complex_real tptp.im (tptp.hAPP_complex_real tptp.im A_1) (tptp.at_complex A_1)))) (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.tendst1507391555omplex tptp.cnj (tptp.hAPP_complex_complex tptp.cnj A_1) (tptp.at_complex A_1)))) (forall ((L $$unsorted) (U $$unsorted)) (= (tptp.hAPP_i1948725293t_bool (tptp.ord_at641636577an_int L) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int U) tptp.one_one_int)) (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int L) U))) (forall ((K $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.hAPP_f782000547ol_nat tptp.big_co387207925at_nat F))) (=> (= (tptp.hAPP_nat_nat F tptp.zero_zero_nat) tptp.zero_zero_nat) (= (tptp.hAPP_f22106695ol_nat _let_1 (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat (tptp.hAPP_nat_nat tptp.suc tptp.zero_zero_nat)) K)) (tptp.hAPP_f22106695ol_nat _let_1 (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat tptp.zero_zero_nat) K)))))) (forall ((L $$unsorted) (U $$unsorted)) (= (tptp.hAPP_f957591787ol_nat tptp.finite_card_int (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int L) U)) (tptp.hAPP_int_nat tptp.nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int U) L)) tptp.one_one_int)))) (forall ((Na $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat Na) Ma)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.div_div_nat (tptp.hAPP_nat_nat tptp.fact_fact_nat Ma)) (tptp.hAPP_nat_nat tptp.fact_fact_nat Na)) (tptp.big_co1705425894at_nat tptp.cOMBI_nat (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.plus_plus_nat Na) tptp.one_one_nat)) Ma))))) (forall ((Na $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Na)) (= (tptp.hAPP_int_int tptp.fact_fact_int Na) (tptp.big_co1548731110nt_int tptp.cOMBI_int (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int tptp.one_one_int) Na))))) (tptp.hBOOL (tptp.tendsto_real_real (tptp.hAPP_f1950183573l_real (tptp.hAPP_f2069516469l_real tptp.cOMBS_real_real_real (tptp.hAPP_f556082547l_real (tptp.hAPP_f1960414057l_real tptp.cOMBB_882763271l_real tptp.inverse_divide_real) tptp.cos)) tptp.sin) tptp.zero_zero_real (tptp.at_real _let_16))) (forall ((F $$unsorted) (L $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.tendsto_real_real F L (tptp.at_real C))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real L) tptp.zero_zero_real)) (exists ((R_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) R_1)) (forall ((X_1 $$unsorted)) (=> (and (not (= X_1 C)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real C) X_1))) R_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real F X_1)) tptp.zero_zero_real))))))))) (forall ((F $$unsorted) (L $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.tendsto_real_real F L (tptp.at_real C))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) L)) (exists ((R_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) R_1)) (forall ((X_1 $$unsorted)) (=> (and (not (= X_1 C)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real C) X_1))) R_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.hAPP_real_real F X_1)))))))))) (forall ((F $$unsorted) (L $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.tendsto_real_real F L (tptp.at_real C))) (=> (not (= L tptp.zero_zero_real)) (exists ((R_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) R_1)) (forall ((X_1 $$unsorted)) (=> (and (not (= X_1 C)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real C) X_1))) R_1))) (not (= (tptp.hAPP_real_real F X_1) tptp.zero_zero_real))))))))) (forall ((Ta $$unsorted) (A $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D)) (forall ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Ta))) (=> (tptp.is_int X_1) (=> (forall ((Xa_1 $$unsorted)) (=> (tptp.is_int Xa_1) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa_1) (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int tptp.one_one_int) D))) (forall ((Xb $$unsorted)) (=> (tptp.is_int Xb) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xb) A)) (not (= X_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Xb) Xa_1))))))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X_1)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X_1) D)))))))))) (forall ((Ta $$unsorted) (A $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Ta) tptp.one_one_int)) A)) (forall ((X_1 $$unsorted)) (=> (tptp.is_int X_1) (=> (forall ((Xa_1 $$unsorted)) (=> (tptp.is_int Xa_1) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa_1) (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int tptp.one_one_int) D))) (forall ((Xb $$unsorted)) (=> (tptp.is_int Xb) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xb) A)) (not (= X_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Xb) Xa_1))))))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X_1) Ta)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X_1) D)) Ta))))))))) (forall ((Ta $$unsorted) (B $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Ta) tptp.one_one_int)) B)) (forall ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int Ta))) (=> (tptp.is_int X_1) (=> (forall ((Xa_1 $$unsorted)) (=> (tptp.is_int Xa_1) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa_1) (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int tptp.one_one_int) D))) (forall ((Xb $$unsorted)) (=> (tptp.is_int Xb) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xb) B)) (not (= X_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Xb) Xa_1))))))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X_1)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X_1) D))))))))))) (forall ((Ta $$unsorted) (B $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D)) (forall ((X_1 $$unsorted)) (=> (tptp.is_int X_1) (=> (forall ((Xa_1 $$unsorted)) (=> (tptp.is_int Xa_1) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa_1) (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int tptp.one_one_int) D))) (forall ((Xb $$unsorted)) (=> (tptp.is_int Xb) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xb) B)) (not (= X_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Xb) Xa_1))))))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int X_1) Ta)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X_1) D)) Ta)))))))) (forall ((Ta $$unsorted) (B $$unsorted) (D $$unsorted)) (=> (tptp.is_int Ta) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Ta) tptp.one_one_int)) B)) (forall ((X_1 $$unsorted)) (=> (tptp.is_int X_1) (=> (forall ((Xa_1 $$unsorted)) (=> (tptp.is_int Xa_1) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa_1) (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int tptp.one_one_int) D))) (forall ((Xb $$unsorted)) (=> (tptp.is_int Xb) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xb) B)) (not (= X_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Xb) Xa_1))))))))) (=> (= X_1 Ta) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X_1) D) Ta))))))))) (forall ((Ta $$unsorted) (A $$unsorted) (D $$unsorted)) (=> (tptp.is_int Ta) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Ta) tptp.one_one_int)) A)) (forall ((X_1 $$unsorted)) (=> (tptp.is_int X_1) (=> (forall ((Xa_1 $$unsorted)) (=> (tptp.is_int Xa_1) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa_1) (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int tptp.one_one_int) D))) (forall ((Xb $$unsorted)) (=> (tptp.is_int Xb) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xb) A)) (not (= X_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Xb) Xa_1))))))))) (=> (= X_1 Ta) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X_1) D) Ta))))))))) (forall ((Ta $$unsorted) (A $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D)) (forall ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Ta))) (=> (tptp.is_int X_1) (=> (forall ((Xa_1 $$unsorted)) (=> (tptp.is_int Xa_1) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa_1) (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int tptp.one_one_int) D))) (forall ((Xb $$unsorted)) (=> (tptp.is_int Xb) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xb) A)) (not (= X_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Xb) Xa_1))))))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X_1)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X_1) D)))))))))) (forall ((Ta $$unsorted) (B $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D)) (forall ((X_1 $$unsorted)) (=> (tptp.is_int X_1) (=> (forall ((Xa_1 $$unsorted)) (=> (tptp.is_int Xa_1) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa_1) (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int tptp.one_one_int) D))) (forall ((Xb $$unsorted)) (=> (tptp.is_int Xb) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xb) B)) (not (= X_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Xb) Xa_1))))))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_1) Ta)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X_1) D)) Ta)))))))) (forall ((Ta $$unsorted) (A $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Ta) A)) (forall ((X_1 $$unsorted)) (=> (tptp.is_int X_1) (=> (forall ((Xa_1 $$unsorted)) (=> (tptp.is_int Xa_1) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa_1) (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int tptp.one_one_int) D))) (forall ((Xb $$unsorted)) (=> (tptp.is_int Xb) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xb) A)) (not (= X_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Xb) Xa_1))))))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_1) Ta)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X_1) D)) Ta))))))))) (forall ((Ta $$unsorted) (B $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Ta) B)) (forall ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Ta))) (=> (tptp.is_int X_1) (=> (forall ((Xa_1 $$unsorted)) (=> (tptp.is_int Xa_1) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa_1) (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int tptp.one_one_int) D))) (forall ((Xb $$unsorted)) (=> (tptp.is_int Xb) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xb) B)) (not (= X_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Xb) Xa_1))))))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 X_1)) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X_1) D))))))))))) (forall ((Ta $$unsorted) (A $$unsorted) (D $$unsorted)) (=> (tptp.is_int Ta) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Ta) A)) (forall ((X_1 $$unsorted)) (=> (tptp.is_int X_1) (=> (forall ((Xa_1 $$unsorted)) (=> (tptp.is_int Xa_1) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa_1) (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int tptp.one_one_int) D))) (forall ((Xb $$unsorted)) (=> (tptp.is_int Xb) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xb) A)) (not (= X_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Xb) Xa_1))))))))) (=> (not (= X_1 Ta)) (not (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X_1) D) Ta)))))))))) (forall ((Ta $$unsorted) (B $$unsorted) (D $$unsorted)) (=> (tptp.is_int Ta) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Ta) B)) (forall ((X_1 $$unsorted)) (=> (tptp.is_int X_1) (=> (forall ((Xa_1 $$unsorted)) (=> (tptp.is_int Xa_1) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa_1) (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int tptp.one_one_int) D))) (forall ((Xb $$unsorted)) (=> (tptp.is_int Xb) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xb) B)) (not (= X_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Xb) Xa_1))))))))) (=> (not (= X_1 Ta)) (not (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X_1) D) Ta)))))))))) (forall ((P_1 $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D_1)) (=> (forall ((X_1 $$unsorted) (K_1 $$unsorted)) (=> (and (tptp.is_int X_1) (tptp.is_int K_1)) (= (tptp.hBOOL (tptp.hAPP_int_bool P_1 X_1)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K_1) D_1))))))) (= (exists ((X1 $$unsorted)) (and (tptp.is_int X1) (tptp.hBOOL (tptp.hAPP_int_bool P_1 X1)))) (exists ((X_1 $$unsorted)) (and (tptp.is_int X_1) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int tptp.one_one_int) D_1))) (tptp.hBOOL (tptp.hAPP_int_bool P_1 X_1)))))))) (forall ((Ta $$unsorted) (A $$unsorted) (D_1 $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int D_1) D)) (forall ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X_1))) (let ((_let_2 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int D_1))) (=> (tptp.is_int X_1) (=> (forall ((Xa_1 $$unsorted)) (=> (tptp.is_int Xa_1) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa_1) (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int tptp.one_one_int) D))) (forall ((Xb $$unsorted)) (=> (tptp.is_int Xb) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xb) A)) (not (= X_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Xb) Xa_1))))))))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool _let_2 (tptp.hAPP_int_int _let_1 Ta)))) (not (tptp.hBOOL (tptp.hAPP_int_bool _let_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_1 D)) Ta)))))))))))) (forall ((Ta $$unsorted) (B $$unsorted) (D_1 $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int D_1) D)) (forall ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int D_1))) (=> (tptp.is_int X_1) (=> (forall ((Xa_1 $$unsorted)) (=> (tptp.is_int Xa_1) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa_1) (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int tptp.one_one_int) D))) (forall ((Xb $$unsorted)) (=> (tptp.is_int Xb) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xb) B)) (not (= X_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Xb) Xa_1))))))))) (=> (not (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X_1) Ta)))) (not (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X_1) D)) Ta))))))))))) (forall ((Ta $$unsorted) (B $$unsorted) (D_1 $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int D_1) D)) (forall ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int D_1))) (=> (tptp.is_int X_1) (=> (forall ((Xa_1 $$unsorted)) (=> (tptp.is_int Xa_1) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa_1) (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int tptp.one_one_int) D))) (forall ((Xb $$unsorted)) (=> (tptp.is_int Xb) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xb) B)) (not (= X_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Xb) Xa_1))))))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X_1) Ta))) (tptp.hBOOL (tptp.hAPP_int_bool _let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X_1) D)) Ta)))))))))) (forall ((Ta $$unsorted) (A $$unsorted) (D_1 $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int D_1) D)) (forall ((X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X_1))) (let ((_let_2 (tptp.hAPP_i1948725293t_bool tptp.dvd_dvd_int D_1))) (=> (tptp.is_int X_1) (=> (forall ((Xa_1 $$unsorted)) (=> (tptp.is_int Xa_1) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa_1) (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int tptp.one_one_int) D))) (forall ((Xb $$unsorted)) (=> (tptp.is_int Xb) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xb) A)) (not (= X_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Xb) Xa_1))))))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool _let_2 (tptp.hAPP_int_int _let_1 Ta))) (tptp.hBOOL (tptp.hAPP_int_bool _let_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int (tptp.hAPP_int_int _let_1 D)) Ta))))))))))) (forall ((X_2 $$unsorted)) (=> (forall ((R_1 $$unsorted)) (exists ((N_2 $$unsorted)) (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat N_2) N_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real R_1) (tptp.hAPP_nat_real X_2 N_1))))))) (tptp.hBOOL (tptp.tendsto_nat_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat tptp.inverse_inverse_real) X_2) tptp.zero_zero_real tptp.sequentially)))) (forall ((R_2 $$unsorted) (X $$unsorted)) (= (tptp.hAPP_complex_real tptp.re (tptp.hAPP_complex_complex (tptp.scaleR1652505878omplex R_2) X)) (tptp.hAPP_real_real (tptp.scaleR_scaleR_real R_2) (tptp.hAPP_complex_real tptp.re X)))) (forall ((R_2 $$unsorted) (X $$unsorted)) (= (tptp.hAPP_complex_real tptp.im (tptp.hAPP_complex_complex (tptp.scaleR1652505878omplex R_2) X)) (tptp.hAPP_real_real (tptp.scaleR_scaleR_real R_2) (tptp.hAPP_complex_real tptp.im X)))) (forall ((R_2 $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.scaleR1652505878omplex R_2))) (= (tptp.hAPP_complex_complex tptp.cnj (tptp.hAPP_complex_complex _let_1 X)) (tptp.hAPP_complex_complex _let_1 (tptp.hAPP_complex_complex tptp.cnj X))))) (forall ((A_3 $$unsorted) (X $$unsorted)) (= (tptp.hAPP_real_real (tptp.scaleR_scaleR_real A_3) X) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real A_3) X))) (forall ((R_2 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real R_2))) (= (tptp.hAPP_complex_complex (tptp.scaleR1652505878omplex R_2) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex A_3) B_2)) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex (tptp.hAPP_real_real _let_1 A_3)) (tptp.hAPP_real_real _let_1 B_2))))) (forall ((R_2 $$unsorted) (X $$unsorted)) (= (tptp.hAPP_complex_real tptp.im (tptp.hAPP_complex_complex (tptp.scaleR1652505878omplex R_2) X)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real R_2) (tptp.hAPP_complex_real tptp.im X)))) (forall ((R_2 $$unsorted) (X $$unsorted)) (= (tptp.hAPP_complex_real tptp.re (tptp.hAPP_complex_complex (tptp.scaleR1652505878omplex R_2) X)) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.times_times_real R_2) (tptp.hAPP_complex_real tptp.re X)))) (forall ((X $$unsorted)) (= (tptp.hAPP_complex_complex tptp.sgn_sgn_complex X) (tptp.hAPP_complex_complex (tptp.scaleR1652505878omplex (tptp.hAPP_real_real tptp.inverse_inverse_real (tptp.hAPP_complex_real tptp.norm_norm_complex X))) X))) (forall ((R_2 $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_r1250527377l_real tptp.times_times_real R_2))) (= (tptp.hAPP_complex_complex (tptp.scaleR1652505878omplex R_2) X) (tptp.hAPP_real_complex (tptp.hAPP_r265291036omplex tptp.complex (tptp.hAPP_real_real _let_1 (tptp.hAPP_complex_real tptp.re X))) (tptp.hAPP_real_real _let_1 (tptp.hAPP_complex_real tptp.im X)))))) (not (tptp.hBOOL (tptp.trivial_limit_nat tptp.sequentially))) _let_13 (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (=> (and (tptp.is_int A_3) (tptp.is_int B_2)) (=> (not (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int A_3) B_2) tptp.zero_zero_int)) (exists ((A_4 $$unsorted) (B_3 $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int A_3) B_2))) (and (tptp.is_int A_4) (tptp.is_int B_3) (= A_3 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int A_4) _let_1)) (= B_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int B_3) _let_1)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int A_4) B_3) tptp.one_one_int))))))) (forall ((Na $$unsorted) (Va $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.pred Va)))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_min_nat (tptp.hAPP_nat_nat tptp.suc Na)) (tptp.hAPP_int_nat tptp.number_number_of_nat Va)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_b992065680at_nat tptp.if_nat (tptp.hAPP_int_bool tptp.nat_neg _let_1)) tptp.zero_zero_nat) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_min_nat Na) (tptp.hAPP_int_nat tptp.nat _let_1))))))) (forall ((Va $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.pred Va)))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_min_nat (tptp.hAPP_int_nat tptp.number_number_of_nat Va)) (tptp.hAPP_nat_nat tptp.suc Na)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_b992065680at_nat tptp.if_nat (tptp.hAPP_int_bool tptp.nat_neg _let_1)) tptp.zero_zero_nat) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_min_nat (tptp.hAPP_int_nat tptp.nat _let_1)) Na)))))) (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_min_nat N) tptp.zero_zero_nat) tptp.zero_zero_nat)) (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_min_nat tptp.zero_zero_nat) N) tptp.zero_zero_nat)) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_min_nat (tptp.hAPP_nat_nat tptp.suc M)) (tptp.hAPP_nat_nat tptp.suc N)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_min_nat M) N)))) (forall ((M $$unsorted) (I $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_min_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat M) I)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat N) I)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.minus_minus_nat (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_min_nat M) N)) I))) (forall ((Ma $$unsorted) (Na $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_min_nat Ma) (tptp.hAPP_nat_nat tptp.suc Na)) (tptp.hAPP_nat_nat (tptp.nat_case_nat tptp.zero_zero_nat (tptp.hAPP_f1914919701at_nat (tptp.hAPP_f1585078997at_nat tptp.cOMBB_nat_nat_nat tptp.suc) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.ord_min_nat) Na))) Ma))) (forall ((Na $$unsorted) (Ma $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_min_nat (tptp.hAPP_nat_nat tptp.suc Na)) Ma) (tptp.hAPP_nat_nat (tptp.nat_case_nat tptp.zero_zero_nat (tptp.hAPP_f1914919701at_nat (tptp.hAPP_f1585078997at_nat tptp.cOMBB_nat_nat_nat tptp.suc) (tptp.hAPP_nat_fun_nat_nat tptp.ord_min_nat Na))) Ma))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (exists ((A_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) A_2)) (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat tptp.abs_abs_rat (tptp.hAPP_nat_rat X_2 N_1))) A_2))))) (=> (tptp.hBOOL (tptp.vanishes Y_2)) (tptp.hBOOL (tptp.vanishes (tptp.hAPP_f2062659861at_rat (tptp.hAPP_f1131305186at_rat tptp.cOMBS_nat_rat_rat (tptp.hAPP_f1830834240at_rat (tptp.hAPP_f1073644437at_rat tptp.cOMBB_1926947at_nat tptp.times_times_rat) X_2)) Y_2)))))) (forall ((Na $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat Ma)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat Na)) (= (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int Ma) Na) (tptp.image_nat_int tptp.semiri1621563631at_int (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat (tptp.hAPP_int_nat tptp.nat Ma)) (tptp.hAPP_int_nat tptp.nat Na))))))) (forall ((Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat Xa)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) Xa)))) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat Y)) (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X) Y)))))) (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat tptp.one_one_int)) (forall ((Xa $$unsorted) (A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.nat_nat_set A)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) A)) (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat Xa))))) (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat X)) (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int tptp.power_power_int X) N))))) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat Y)) (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat (tptp.hAPP_int_int (tptp.div_mod_int X) Y)))))) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat Y)) (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.div_div_int X) Y)))))) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat Y)) (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat (tptp.hAPP_int_int (tptp.nat_tsub X) Y)))))) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat Y)) (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int X) Y)))))) (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat tptp.zero_zero_int)) (forall ((Z_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat (tptp.hAPP_nat_int tptp.semiri1621563631at_int Z_1)))) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.vanishes X_2)) (tptp.hBOOL (tptp.vanishes (tptp.hAPP_f2062659861at_rat (tptp.hAPP_f1082758869at_rat tptp.cOMBB_rat_rat_nat tptp.uminus_uminus_rat) X_2))))) (forall ((C $$unsorted)) (= (tptp.hBOOL (tptp.vanishes (tptp.cOMBK_rat_nat C))) (= C tptp.zero_zero_rat))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.vanishes X_2)) (=> (tptp.hBOOL (tptp.vanishes Y_2)) (tptp.hBOOL (tptp.vanishes (tptp.hAPP_f2062659861at_rat (tptp.hAPP_f1131305186at_rat tptp.cOMBS_nat_rat_rat (tptp.hAPP_f1830834240at_rat (tptp.hAPP_f1073644437at_rat tptp.cOMBB_1926947at_nat tptp.minus_minus_rat) X_2)) Y_2)))))) (forall ((Y_2 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.vanishes X_2)) (=> (tptp.hBOOL (tptp.vanishes Y_2)) (tptp.hBOOL (tptp.vanishes (tptp.hAPP_f2062659861at_rat (tptp.hAPP_f1131305186at_rat tptp.cOMBS_nat_rat_rat (tptp.hAPP_f1830834240at_rat (tptp.hAPP_f1073644437at_rat tptp.cOMBB_1926947at_nat tptp.plus_plus_rat) X_2)) Y_2)))))) (forall ((Ya $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat Xa)) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.nat_nat_set (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int Xa) Ya))))) (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat _let_11)) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat X)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat Y)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.gcd_gcd_int X) Y)))))) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat X)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.hAPP_int_int tptp.fact_fact_int X))))) (forall ((A $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat Xa)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.nat_nat_set A)) (= (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa) A)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool tptp.member_nat (tptp.hAPP_int_nat tptp.nat Xa)) (tptp.image_int_nat tptp.nat A))))))) (tptp.hBOOL (tptp.hAPP_int_bool tptp.nat_is_nat _let_9)) (forall ((Ra $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.vanishes X_2)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) Ra)) (exists ((K_1 $$unsorted)) (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_1) N_1)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat tptp.abs_abs_rat (tptp.hAPP_nat_rat X_2 N_1))) Ra)))))))) (forall ((X_2 $$unsorted)) (= (tptp.hBOOL (tptp.vanishes X_2)) (forall ((R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) R_1)) (exists ((K_1 $$unsorted)) (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_1) N_1)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat tptp.abs_abs_rat (tptp.hAPP_nat_rat X_2 N_1))) R_1))))))))) (forall ((X_2 $$unsorted)) (=> (forall ((R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat tptp.zero_zero_rat) R_1)) (exists ((K_1 $$unsorted)) (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_eq_nat K_1) N_1)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.ord_less_rat (tptp.hAPP_rat_rat tptp.abs_abs_rat (tptp.hAPP_nat_rat X_2 N_1))) R_1))))))) (tptp.hBOOL (tptp.vanishes X_2)))) (forall ((Ma $$unsorted) (X_1 $$unsorted) (Xa_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcongm Ma) X_1) Xa_1)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong X_1) Xa_1) Ma)))) (forall ((L $$unsorted) (F $$unsorted)) (=> (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real F N_1)) (tptp.hAPP_nat_real F (tptp.hAPP_nat_nat tptp.suc N_1))))) (=> (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_nat_real F N_1)) L))) (=> (forall ((E $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) E)) (exists ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real L) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.plus_plus_real (tptp.hAPP_nat_real F N_1)) E)))))) (tptp.hBOOL (tptp.tendsto_nat_real F L tptp.sequentially)))))) (forall ((A $$unsorted) (B $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1469637905l_bool (tptp.hAPP_P1681069257l_bool tptp.member308914164t_bool (tptp.hAPP_f538843494t_bool (tptp.hAPP_f1418982953t_bool tptp.produc713279741t_bool A) B)) (tptp.bijR_int_int (tptp.zcongm Ma)))) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.zcong (tptp.big_co1548731110nt_int tptp.cOMBI_int A)) (tptp.big_co1548731110nt_int tptp.cOMBI_int B)) Ma)))) (forall ((Xa $$unsorted) (Na $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.isCont_real_real (tptp.hAPP_n546711566l_real tptp.root Na)) Xa)))) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Xa)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.isCont_real_real tptp.ln) Xa)))) (forall ((Xa $$unsorted)) (=> (not (= (tptp.hAPP_real_real tptp.cos Xa) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.isCont_real_real tptp.tan) Xa)))) (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.isCont_real_real tptp.abs_abs_real) A_1))) (forall ((Xa $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.isCont_real_real tptp.sin) Xa))) (forall ((Xa $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.isCont_real_real tptp.cos) Xa))) (forall ((Xa $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.isCont_real_real tptp.sqrt) Xa))) (forall ((Xa $$unsorted)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.isCont_real_real tptp.arctan) Xa))) (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.isCont156215680omplex tptp.cnj) A_1))) (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.isCont_complex_real tptp.im) A_1))) (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_complex_bool (tptp.isCont_complex_real tptp.re) A_1))) (forall ((Na $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.isCont_real_real (tptp.hAPP_n546711566l_real tptp.root Na)) tptp.zero_zero_real)))) (forall ((Xa $$unsorted) (Na $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) Xa)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.isCont_real_real (tptp.hAPP_n546711566l_real tptp.root Na)) Xa))))) (forall ((Xa $$unsorted) (Na $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.zero_zero_nat) Na)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) tptp.zero_zero_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.isCont_real_real (tptp.hAPP_n546711566l_real tptp.root Na)) Xa))))) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) Xa)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.isCont_real_real tptp.arccos) Xa))))) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_int_real tptp.number267125858f_real tptp.min)) Xa)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) tptp.one_one_real)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.isCont_real_real tptp.arcsin) Xa))))) (forall ((F $$unsorted) (B_1 $$unsorted) (Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real B_1) Xa)) (=> (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1501066425l_bool (tptp.hAPP_r1130899993l_bool tptp.member_real X_1) (tptp.hAPP_r1134773055l_bool (tptp.ord_gr788844697n_real B_1) Xa))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_real_real F X_1))))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.isCont_real_real F) Xa)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.hAPP_real_real F Xa))))))) (forall ((B_1 $$unsorted) (A_1 $$unsorted) (F $$unsorted) (G $$unsorted) (Xa $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real F (tptp.hAPP_real_real G Xa)) D)) (=> (not (= D tptp.zero_zero_real)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_1) Xa)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Xa) B_1)) (=> (forall ((Y_1 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_1) Y_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real Y_1) B_1))) (= (tptp.hAPP_real_real F (tptp.hAPP_real_real G Y_1)) Y_1))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.isCont_real_real G) Xa)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real G Xa) (tptp.hAPP_real_real tptp.inverse_inverse_real D)))))))))) (forall ((G $$unsorted) (F $$unsorted) (Xa $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) D_1)) (=> (forall ((Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real Z) Xa))) D_1)) (= (tptp.hAPP_real_real G (tptp.hAPP_real_real F Z)) Z))) (=> (forall ((Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real Z) Xa))) D_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.isCont_real_real F) Z)))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.isCont_real_real G) (tptp.hAPP_real_real F Xa))))))) (forall ((F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_1) B_1)) (=> (forall ((X_1 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) X_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_1) B_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.isCont_real_real F) X_1)))) (=> (forall ((X_1 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_1) X_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_1) B_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real F X_1) tptp.zero_zero_real)))) (forall ((X_1 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) X_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_1) B_1))) (= (tptp.hAPP_real_real F X_1) (tptp.hAPP_real_real F A_1)))))))) (forall ((Xa $$unsorted) (F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_1) B_1)) (=> (forall ((X_1 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) X_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_1) B_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.isCont_real_real F) X_1)))) (=> (forall ((X_1 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_1) X_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_1) B_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real F X_1) tptp.zero_zero_real)))) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) Xa)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real Xa) B_1)) (= (tptp.hAPP_real_real F Xa) (tptp.hAPP_real_real F A_1)))))))) (forall ((F $$unsorted) (A_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_1) B_1)) (=> (forall ((X_1 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real A_1) X_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real X_1) B_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.isCont_real_real F) X_1)))) (=> (forall ((X_1 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real A_1) X_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real X_1) B_1))) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.deriv_real F X_1) tptp.zero_zero_real)))) (= (tptp.hAPP_real_real F B_1) (tptp.hAPP_real_real F A_1)))))) (forall ((G $$unsorted) (F $$unsorted) (Xa $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) D_1)) (=> (forall ((Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real Z) Xa))) D_1)) (= (tptp.hAPP_real_real G (tptp.hAPP_real_real F Z)) Z))) (=> (forall ((Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real Z) Xa))) D_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.isCont_real_real F) Z)))) (exists ((E $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) E)) (forall ((Y_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real Y_1) (tptp.hAPP_real_real F Xa))))) (=> (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) _let_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real _let_1) E))) (= (tptp.hAPP_real_real F (tptp.hAPP_real_real G Y_1)) Y_1)))))))))) (forall ((G $$unsorted) (F $$unsorted) (Xa $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) D_1)) (=> (forall ((Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real Z) Xa))) D_1)) (= (tptp.hAPP_real_real G (tptp.hAPP_real_real F Z)) Z))) (=> (forall ((Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real Z) Xa))) D_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.isCont_real_real F) Z)))) (exists ((Z $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real Z) Xa))) D_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real F Xa)) (tptp.hAPP_real_real F Z))))))))) (forall ((G $$unsorted) (F $$unsorted) (Xa $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real tptp.zero_zero_real) D_1)) (=> (forall ((Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real Z) Xa))) D_1)) (= (tptp.hAPP_real_real G (tptp.hAPP_real_real F Z)) Z))) (=> (forall ((Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real Z) Xa))) D_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.isCont_real_real F) Z)))) (exists ((Z $$unsorted)) (and (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_eq_real (tptp.hAPP_real_real tptp.abs_abs_real (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real tptp.minus_minus_real Z) Xa))) D_1)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.ord_less_real (tptp.hAPP_real_real F Z)) (tptp.hAPP_real_real F Xa))))))))) (forall ((B $$unsorted) (P_2 $$unsorted) (P_1 $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D)) (=> (exists ((Z $$unsorted)) (forall ((X_1 $$unsorted)) (=> (tptp.is_int X_1) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int X_1) Z)) (= (tptp.hBOOL (tptp.hAPP_int_bool P_1 X_1)) (tptp.hBOOL (tptp.hAPP_int_bool P_2 X_1))))))) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_int X_1) (=> (forall ((Xa_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa_1) (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int tptp.one_one_int) D))) (forall ((Xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xb) B)) (not (= X_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Xb) Xa_1))))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool P_1 X_1)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X_1) D))))))) (=> (forall ((X_1 $$unsorted) (K_1 $$unsorted)) (=> (and (tptp.is_int X_1) (tptp.is_int K_1)) (= (tptp.hBOOL (tptp.hAPP_int_bool P_2 X_1)) (tptp.hBOOL (tptp.hAPP_int_bool P_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K_1) D))))))) (= (exists ((X1 $$unsorted)) (and (tptp.is_int X1) (tptp.hBOOL (tptp.hAPP_int_bool P_1 X1)))) (or (exists ((X_1 $$unsorted)) (and (tptp.is_int X_1) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int tptp.one_one_int) D))) (tptp.hBOOL (tptp.hAPP_int_bool P_2 X_1)))) (exists ((X_1 $$unsorted)) (and (tptp.is_int X_1) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int tptp.one_one_int) D))) (exists ((Xa_1 $$unsorted)) (and (tptp.is_int Xa_1) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa_1) B)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int Xa_1) X_1)))))))))))))) (forall ((A $$unsorted) (P_2 $$unsorted) (P_1 $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int tptp.zero_zero_int) D)) (=> (exists ((Z $$unsorted)) (forall ((X_1 $$unsorted)) (=> (tptp.is_int X_1) (=> (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.ord_less_int Z) X_1)) (= (tptp.hBOOL (tptp.hAPP_int_bool P_1 X_1)) (tptp.hBOOL (tptp.hAPP_int_bool P_2 X_1))))))) (=> (forall ((X_1 $$unsorted)) (=> (tptp.is_int X_1) (=> (forall ((Xa_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa_1) (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int tptp.one_one_int) D))) (forall ((Xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xb) A)) (not (= X_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Xb) Xa_1))))))) (=> (tptp.hBOOL (tptp.hAPP_int_bool P_1 X_1)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.plus_plus_int X_1) D))))))) (=> (forall ((X_1 $$unsorted) (K_1 $$unsorted)) (=> (and (tptp.is_int X_1) (tptp.is_int K_1)) (= (tptp.hBOOL (tptp.hAPP_int_bool P_2 X_1)) (tptp.hBOOL (tptp.hAPP_int_bool P_2 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int X_1) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.times_times_int K_1) D))))))) (= (exists ((X1 $$unsorted)) (and (tptp.is_int X1) (tptp.hBOOL (tptp.hAPP_int_bool P_1 X1)))) (or (exists ((X_1 $$unsorted)) (and (tptp.is_int X_1) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int tptp.one_one_int) D))) (tptp.hBOOL (tptp.hAPP_int_bool P_2 X_1)))) (exists ((X_1 $$unsorted)) (and (tptp.is_int X_1) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int X_1) (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int tptp.one_one_int) D))) (exists ((Xa_1 $$unsorted)) (and (tptp.is_int Xa_1) (tptp.hBOOL (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool tptp.member_int Xa_1) A)) (tptp.hBOOL (tptp.hAPP_int_bool P_1 (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int tptp.minus_minus_int Xa_1) X_1)))))))))))))) (forall ((Na $$unsorted)) (= (tptp.hAPP_n1699378549t_bool tptp.ord_atMost_nat Na) (tptp.image_int_nat tptp.nat (tptp.hAPP_i1948725293t_bool (tptp.ord_at875362053st_int tptp.zero_zero_int) (tptp.hAPP_nat_int tptp.semiri1621563631at_int Na))))) (forall ((K $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat (tptp.hAPP_n1699378549t_bool tptp.ord_atMost_nat K)))) (forall ((S $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.finite_finite_nat S)) (exists ((K_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_f54304608l_bool (tptp.hAPP_f103356543l_bool tptp.ord_le1568362934t_bool S) (tptp.hAPP_n1699378549t_bool tptp.ord_atMost_nat K_1)))))) (forall ((K $$unsorted)) (= (tptp.hAPP_n1699378549t_bool tptp.ord_lessThan_nat (tptp.hAPP_nat_nat tptp.suc K)) (tptp.hAPP_n1699378549t_bool tptp.ord_atMost_nat K))) (forall ((U $$unsorted)) (= (tptp.hAPP_f22106695ol_nat tptp.finite_card_nat (tptp.hAPP_n1699378549t_bool tptp.ord_atMost_nat U)) (tptp.hAPP_nat_nat tptp.suc U))) (forall ((Na $$unsorted)) (= (tptp.hAPP_n1699378549t_bool (tptp.ord_at238088361st_nat tptp.zero_zero_nat) Na) (tptp.hAPP_n1699378549t_bool tptp.ord_atMost_nat Na))) (forall ((Na $$unsorted) (Va $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.pred Va)))) (let ((_let_2 (tptp.hAPP_nat_nat tptp.suc Na))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_max_nat _let_2) (tptp.hAPP_int_nat tptp.number_number_of_nat Va)) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_b992065680at_nat tptp.if_nat (tptp.hAPP_int_bool tptp.nat_neg _let_1)) _let_2) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_max_nat Na) (tptp.hAPP_int_nat tptp.nat _let_1)))))))) (forall ((Va $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_int_int tptp.number_number_of_int (tptp.hAPP_int_int tptp.pred Va)))) (let ((_let_2 (tptp.hAPP_nat_nat tptp.suc Na))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_max_nat (tptp.hAPP_int_nat tptp.number_number_of_nat Va)) _let_2) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_b992065680at_nat tptp.if_nat (tptp.hAPP_int_bool tptp.nat_neg _let_1)) _let_2) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_max_nat (tptp.hAPP_int_nat tptp.nat _let_1)) Na))))))) (forall ((Xa $$unsorted)) (= (tptp.comple124823625p_real (tptp.hAPP_r1134773055l_bool tptp.ord_atMost_real Xa)) Xa)) (forall ((Ma $$unsorted) (Na $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc Na))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_max_nat Ma) _let_1) (tptp.hAPP_nat_nat (tptp.nat_case_nat _let_1 (tptp.hAPP_f1914919701at_nat (tptp.hAPP_f1585078997at_nat tptp.cOMBB_nat_nat_nat tptp.suc) (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat tptp.ord_max_nat) Na))) Ma)))) (forall ((Na $$unsorted) (Ma $$unsorted)) (let ((_let_1 (tptp.hAPP_nat_nat tptp.suc Na))) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_max_nat _let_1) Ma) (tptp.hAPP_nat_nat (tptp.nat_case_nat _let_1 (tptp.hAPP_f1914919701at_nat (tptp.hAPP_f1585078997at_nat tptp.cOMBB_nat_nat_nat tptp.suc) (tptp.hAPP_nat_fun_nat_nat tptp.ord_max_nat Na))) Ma)))) (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_max_nat N) tptp.zero_zero_nat) N)) (forall ((N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_max_nat tptp.zero_zero_nat) N) N)) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_max_nat (tptp.hAPP_nat_nat tptp.suc M)) (tptp.hAPP_nat_nat tptp.suc N)) (tptp.hAPP_nat_nat tptp.suc (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat tptp.ord_max_nat M) N)))) (forall ((P $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool tptp.fNot P))) (not (tptp.hBOOL P)))) (forall ((P $$unsorted)) (or (tptp.hBOOL P) (tptp.hBOOL (tptp.hAPP_bool_bool tptp.fNot P)))) (tptp.hBOOL tptp.fTrue) (forall ((P $$unsorted)) (=> (tptp.is_bool P) (or (= P tptp.fTrue) (= P tptp.fFalse)))) (forall ((Q $$unsorted) (P $$unsorted)) (or (not (tptp.hBOOL P)) (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q)))) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q))) (tptp.hBOOL P))) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q))) (tptp.hBOOL Q))) (forall ((Q $$unsorted) (P $$unsorted)) (or (not (tptp.hBOOL P)) (tptp.hBOOL (tptp.fdisj P Q)))) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.fdisj P Q)))) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.fdisj P Q))) (tptp.hBOOL P) (tptp.hBOOL Q))) (not (tptp.hBOOL tptp.fFalse)) (forall ((P $$unsorted)) (=> (tptp.is_bool P) (or (= P tptp.fTrue) (= P tptp.fFalse)))) (forall ((Q $$unsorted) (P $$unsorted)) (or (tptp.hBOOL P) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.fimplies P) Q)))) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.fimplies P) Q)))) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.fimplies P) Q))) (not (tptp.hBOOL P)) (tptp.hBOOL Q))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.is_int X) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int (tptp.hAPP_b1463609396nt_int tptp.if_int tptp.fTrue) X) Y) X))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.is_int Y) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int (tptp.hAPP_b1463609396nt_int tptp.if_int tptp.fFalse) X) Y) Y))) (forall ((P $$unsorted)) (=> (tptp.is_bool P) (or (= P tptp.fTrue) (= P tptp.fFalse)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_b992065680at_nat tptp.if_nat tptp.fTrue) X) Y) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_b992065680at_nat tptp.if_nat tptp.fFalse) X) Y) Y)) (forall ((P $$unsorted)) (=> (tptp.is_bool P) (or (= P tptp.fTrue) (= P tptp.fFalse)))) (forall ((P $$unsorted) (X $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_int_bool P X))) (tptp.hBOOL (tptp.hAPP_f448129468l_bool tptp.fEx_int P)))) (forall ((P $$unsorted) (X $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_nat_bool P X))) (tptp.hBOOL (tptp.hAPP_f54304608l_bool tptp.fEx_nat P)))) (forall ((P $$unsorted)) (=> (tptp.is_int P) (= (tptp.hAPP_int_int tptp.cOMBI_int P) P))) (forall ((P $$unsorted)) (= (tptp.hAPP_nat_nat tptp.cOMBI_nat P) P)) (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.is_int X) (tptp.is_int Y)) (or (not (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.fequal_int X) Y))) (= X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool tptp.fequal_int X) Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.fequal_nat X) Y))) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.fequal_nat X) Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.fequal_rat X) Y))) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_rat_bool (tptp.hAPP_r2115560837t_bool tptp.fequal_rat X) Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real (tptp.hAPP_b646336293l_real tptp.if_real tptp.fTrue) X) Y) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real (tptp.hAPP_b646336293l_real tptp.if_real tptp.fFalse) X) Y) Y)) (forall ((P $$unsorted)) (=> (tptp.is_bool P) (or (= P tptp.fTrue) (= P tptp.fFalse)))) (forall ((P $$unsorted)) (= (tptp.hAPP_real_real tptp.cOMBI_real P) P)) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.fequal_real X) Y))) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.hBOOL (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool tptp.fequal_real X) Y)))) (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_nat_rat (tptp.cOMBK_rat_nat P) Q) P)) (forall ((P $$unsorted) (Q $$unsorted)) (=> (tptp.is_bool P) (= (tptp.hAPP_nat_bool (tptp.cOMBK_bool_nat P) Q) P))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_P1975530577nt_int (tptp.hAPP_P1145851913nt_int (tptp.hAPP_b40753821nt_int tptp.if_Pro1731782967nt_int tptp.fTrue) X) Y) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_P1975530577nt_int (tptp.hAPP_P1145851913nt_int (tptp.hAPP_b40753821nt_int tptp.if_Pro1731782967nt_int tptp.fFalse) X) Y) Y)) (forall ((P $$unsorted)) (=> (tptp.is_bool P) (or (= P tptp.fTrue) (= P tptp.fFalse)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_f1356864277nt_int (tptp.hAPP_f747162069nt_int tptp.cOMBB_int_int_int P) Q) R) (tptp.hAPP_int_int P (tptp.hAPP_int_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_int (tptp.hAPP_f1139079189at_int (tptp.hAPP_f1431025877at_int tptp.cOMBB_int_int_nat P) Q) R) (tptp.hAPP_int_int P (tptp.hAPP_nat_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_int_rat (tptp.hAPP_f1900950721nt_rat (tptp.hAPP_f1270196437nt_rat tptp.cOMBB_int_rat_int P) Q) R) (tptp.hAPP_int_rat P (tptp.hAPP_int_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_f1914919701at_nat (tptp.hAPP_f1585078997at_nat tptp.cOMBB_nat_nat_nat P) Q) R) (tptp.hAPP_nat_nat P (tptp.hAPP_nat_nat Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_rat (tptp.hAPP_f2062659861at_rat (tptp.hAPP_f1082758869at_rat tptp.cOMBB_rat_rat_nat P) Q) R) (tptp.hAPP_rat_rat P (tptp.hAPP_nat_rat Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int (tptp.hAPP_f2135977429nt_int tptp.cOMBC_int_int_int P) Q) R) (tptp.hAPP_int_int (tptp.hAPP_int_fun_int_int P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_int_int (tptp.hAPP_nat_fun_int_int (tptp.hAPP_f2105620693nt_int tptp.cOMBC_int_nat_int P) Q) R) (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_int (tptp.hAPP_int_fun_nat_int (tptp.hAPP_f1673103573at_int tptp.cOMBC_nat_int_int P) Q) R) (tptp.hAPP_int_int (tptp.hAPP_nat_fun_int_int P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f416620757at_nat tptp.cOMBC_nat_nat_nat P) Q) R) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_nat (tptp.hAPP_f1914919701at_nat (tptp.hAPP_f1408247010at_nat tptp.cOMBS_nat_nat_nat P) Q) R) (tptp.hAPP_nat_nat (tptp.hAPP_nat_fun_nat_nat P R) (tptp.hAPP_nat_nat Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_rat (tptp.hAPP_f2062659861at_rat (tptp.hAPP_f1131305186at_rat tptp.cOMBS_nat_rat_rat P) Q) R) (tptp.hAPP_rat_rat (tptp.hAPP_nat_fun_rat_rat P R) (tptp.hAPP_nat_rat Q R)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_P1860904029l_real (tptp.hAPP_P1982799375l_real (tptp.hAPP_b1482221219l_real tptp.if_Pro313124157l_real tptp.fTrue) X) Y) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP_P1860904029l_real (tptp.hAPP_P1982799375l_real (tptp.hAPP_b1482221219l_real tptp.if_Pro313124157l_real tptp.fFalse) X) Y) Y)) (forall ((P $$unsorted)) (=> (tptp.is_bool P) (or (= P tptp.fTrue) (= P tptp.fFalse)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_int_bool (tptp.hAPP_f429935748t_bool (tptp.hAPP_f1512942609t_bool tptp.cOMBB_int_bool_int P) Q) R) (tptp.hAPP_int_bool P (tptp.hAPP_int_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_bool (tptp.hAPP_f1154658180t_bool (tptp.hAPP_f1361476881t_bool tptp.cOMBB_int_bool_nat P) Q) R) (tptp.hAPP_int_bool P (tptp.hAPP_nat_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_int_bool (tptp.hAPP_f1448486952t_bool (tptp.hAPP_f696844121t_bool tptp.cOMBB_nat_bool_int P) Q) R) (tptp.hAPP_nat_bool P (tptp.hAPP_int_nat Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_int_bool (tptp.hAPP_f1241350704t_bool (tptp.hAPP_f1131424617t_bool tptp.cOMBB_rat_bool_int P) Q) R) (tptp.hAPP_rat_bool P (tptp.hAPP_int_rat Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f428220345t_bool tptp.cOMBC_int_int_bool P) Q) R) (tptp.hAPP_int_bool (tptp.hAPP_i1948725293t_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_int_bool (tptp.hAPP_r1900510169t_bool (tptp.hAPP_f1480506641t_bool tptp.cOMBC_int_rat_bool P) Q) R) (tptp.hAPP_rat_bool (tptp.hAPP_i16292313t_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f229349961t_bool tptp.cOMBC_nat_nat_bool P) Q) R) (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_int_bool (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f627970963t_bool tptp.cOMBB_bool_bool_int P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_int_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_bool (tptp.hAPP_f800510211t_bool (tptp.hAPP_f894608603t_bool tptp.cOMBB_bool_bool_nat P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_nat_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_int_bool (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f727283836t_bool tptp.cOMBS_int_bool_bool P) Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_i68813070l_bool P R) (tptp.hAPP_int_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_bool (tptp.hAPP_f800510211t_bool (tptp.hAPP_f561022312t_bool tptp.cOMBS_nat_bool_bool P) Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_n1006566506l_bool P R) (tptp.hAPP_nat_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_int_real (tptp.hAPP_f563293398t_real (tptp.hAPP_f134192053t_real tptp.cOMBB_int_real_int P) Q) R) (tptp.hAPP_int_real P (tptp.hAPP_int_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_real (tptp.hAPP_f1676298106t_real (tptp.hAPP_f1566856189t_real tptp.cOMBB_nat_real_nat P) Q) R) (tptp.hAPP_nat_real P (tptp.hAPP_nat_nat Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_int_bool (tptp.hAPP_f429384717t_bool (tptp.hAPP_f1173902867t_bool tptp.cOMBB_real_bool_int P) Q) R) (tptp.hAPP_real_bool P (tptp.hAPP_int_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_bool (tptp.hAPP_f737665877t_bool (tptp.hAPP_f605995867t_bool tptp.cOMBB_real_bool_nat P) Q) R) (tptp.hAPP_real_bool P (tptp.hAPP_nat_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_int_bool (tptp.hAPP_r481142414t_bool (tptp.hAPP_f1845081853t_bool tptp.cOMBC_int_real_bool P) Q) R) (tptp.hAPP_real_bool (tptp.hAPP_i688218208l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_real_bool (tptp.hAPP_f1861673493l_bool (tptp.hAPP_f1010710745l_bool tptp.cOMBS_real_bool_bool P) Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_r1938957037l_bool P R) (tptp.hAPP_real_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_int_real (tptp.hAPP_f269654879t_real (tptp.hAPP_f766218899t_real tptp.cOMBB_real_real_int P) Q) R) (tptp.hAPP_real_real P (tptp.hAPP_int_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f1690286043t_real tptp.cOMBB_real_real_nat P) Q) R) (tptp.hAPP_real_real P (tptp.hAPP_nat_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real (tptp.hAPP_f42270917t_real tptp.cOMBC_nat_real_real P) Q) R) (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real (tptp.hAPP_f248847589l_real tptp.cOMBC_real_nat_real P) Q) R) (tptp.hAPP_nat_real (tptp.hAPP_r474017924t_real P R) Q))) (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_f957591787ol_nat (tptp.cOMBK_1643584600t_bool P) Q) P)) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_real (tptp.hAPP_f1888375463t_real (tptp.hAPP_f197615720t_real tptp.cOMBS_nat_real_real P) Q) R) (tptp.hAPP_real_real (tptp.hAPP_n546711566l_real P R) (tptp.hAPP_nat_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_real_bool (tptp.hAPP_f1402056515l_bool (tptp.hAPP_f824790735l_bool tptp.cOMBB_real_bool_real P) Q) R) (tptp.hAPP_real_bool P (tptp.hAPP_real_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool (tptp.hAPP_f695504873l_bool tptp.cOMBC_real_real_bool P) Q) R) (tptp.hAPP_real_bool (tptp.hAPP_r1134773055l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_real (tptp.hAPP_f1290670424t_real (tptp.hAPP_f327026105t_real tptp.cOMBB_722610049al_nat P) Q) R) (tptp.hAPP_complex_real P (tptp.hAPP_nat_complex Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_complex (tptp.hAPP_f219720582omplex (tptp.hAPP_f1052840010omplex tptp.cOMBS_696648398omplex P) Q) R) (tptp.hAPP_real_complex (tptp.hAPP_n1983812447omplex P R) (tptp.hAPP_nat_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_f1950183573l_real (tptp.hAPP_f1992866895l_real tptp.cOMBB_real_real_real P) Q) R) (tptp.hAPP_real_real P (tptp.hAPP_real_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real (tptp.hAPP_f203520653l_real tptp.cOMBC_real_real_real P) Q) R) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_f1950183573l_real (tptp.hAPP_f2069516469l_real tptp.cOMBS_real_real_real P) Q) R) (tptp.hAPP_real_real (tptp.hAPP_r1250527377l_real P R) (tptp.hAPP_real_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_complex (tptp.hAPP_f1646117269omplex (tptp.hAPP_f1457396693omplex tptp.cOMBB_117013006ex_nat P) Q) R) (tptp.hAPP_complex_complex P (tptp.hAPP_nat_complex Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_int_fun_int_int (tptp.hAPP_f1760145644nt_int (tptp.hAPP_f1629352853nt_int tptp.cOMBB_1496585939nt_int P) Q) R) (tptp.hAPP_int_fun_int_int P (tptp.hAPP_int_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_fun_int_int (tptp.hAPP_f1935805932nt_int (tptp.hAPP_f125788821nt_int tptp.cOMBB_859312247nt_nat P) Q) R) (tptp.hAPP_int_fun_int_int P (tptp.hAPP_nat_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_fun_nat_nat (tptp.hAPP_f1639111240at_nat (tptp.hAPP_f1731313045at_nat tptp.cOMBB_963856155at_nat P) Q) R) (tptp.hAPP_nat_fun_nat_nat P (tptp.hAPP_nat_nat Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_fun_rat_rat (tptp.hAPP_f1830834240at_rat (tptp.hAPP_f1073644437at_rat tptp.cOMBB_1926947at_nat P) Q) R) (tptp.hAPP_rat_fun_rat_rat P (tptp.hAPP_nat_rat Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1175774780nt_int (tptp.hAPP_f521271395nt_int (tptp.hAPP_f11151005nt_int tptp.cOMBB_47643171nt_int P) Q) R) (tptp.hAPP_int_int P (tptp.hAPP_P1175774780nt_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f1791153283t_bool (tptp.hAPP_f1399575567t_bool tptp.cOMBB_118231410ol_int P) Q) R) (tptp.hAPP_i1948725293t_bool P (tptp.hAPP_int_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1524277240nt_int (tptp.hAPP_f883232462nt_int (tptp.hAPP_f2002277285nt_int tptp.cOMBB_1846624359nt_int P) Q) R) (tptp.hAPP_i1524277240nt_int P (tptp.hAPP_int_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_n1699378549t_bool (tptp.hAPP_f618557131t_bool (tptp.hAPP_f1505651103t_bool tptp.cOMBB_800536526ol_nat P) Q) R) (tptp.hAPP_n1699378549t_bool P (tptp.hAPP_nat_nat Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i16292313t_bool (tptp.hAPP_f601898971t_bool (tptp.hAPP_f857296063t_bool tptp.cOMBB_214503962ol_int P) Q) R) (tptp.hAPP_r2115560837t_bool P (tptp.hAPP_int_rat Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1948725293t_bool (tptp.hAPP_i345030060t_bool (tptp.hAPP_f791698359t_bool tptp.cOMBC_241247961t_bool P) Q) R) (tptp.hAPP_i1948725293t_bool (tptp.hAPP_i345030060t_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int (tptp.hAPP_f465821005nt_int tptp.cOMBC_1964283556nt_int P) Q) R) (tptp.hAPP_i1524277240nt_int (tptp.hAPP_i1584592887nt_int P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1175774780nt_int (tptp.hAPP_i61245889nt_int (tptp.hAPP_f578362681nt_int tptp.cOMBC_1417754532nt_int P) Q) R) (tptp.hAPP_int_int (tptp.hAPP_P2110489235nt_int P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1175774780nt_int (tptp.hAPP_f521271395nt_int (tptp.hAPP_f1914742907nt_int tptp.cOMBS_2019229620nt_int P) Q) R) (tptp.hAPP_int_int (tptp.hAPP_P2110489235nt_int P R) (tptp.hAPP_P1175774780nt_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1853363688nt_rat (tptp.hAPP_f1065357839nt_rat (tptp.hAPP_f1120137083nt_rat tptp.cOMBS_549334880nt_rat P) Q) R) (tptp.hAPP_int_rat (tptp.hAPP_P507092031nt_rat P R) (tptp.hAPP_P1175774780nt_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P603027463t_bool (tptp.hAPP_f892584630t_bool (tptp.hAPP_f492612297t_bool tptp.cOMBB_798864284nt_int P) Q) R) (tptp.hAPP_int_bool P (tptp.hAPP_P1175774780nt_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P603027463t_bool (tptp.hAPP_f1084724746t_bool (tptp.hAPP_f374502857t_bool tptp.cOMBB_569260360nt_int P) Q) R) (tptp.hAPP_rat_bool P (tptp.hAPP_P1853363688nt_rat Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_int_bool (tptp.hAPP_f2119767738t_bool (tptp.hAPP_f423804115t_bool tptp.cOMBB_1418110531ol_int P) Q) R) (tptp.hAPP_f448129468l_bool P (tptp.hAPP_i1948725293t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_int_bool (tptp.hAPP_f41603166t_bool (tptp.hAPP_f389116883t_bool tptp.cOMBB_1593174431ol_int P) Q) R) (tptp.hAPP_f54304608l_bool P (tptp.hAPP_i418383825t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_int_bool (tptp.hAPP_f1805168059t_bool (tptp.hAPP_f202917053t_bool tptp.cOMBC_94739984l_bool P) Q) R) (tptp.hAPP_f448129468l_bool (tptp.hAPP_i2112223885l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_bool (tptp.hAPP_f800510211t_bool (tptp.hAPP_f1722879237t_bool tptp.cOMBC_226598744l_bool P) Q) R) (tptp.hAPP_f54304608l_bool (tptp.hAPP_n215258509l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P603027463t_bool (tptp.hAPP_i119638232t_bool (tptp.hAPP_f2018027565t_bool tptp.cOMBC_33652895t_bool P) Q) R) (tptp.hAPP_int_bool (tptp.hAPP_P252494982t_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P603027463t_bool (tptp.hAPP_f892584630t_bool (tptp.hAPP_f1325804733t_bool tptp.cOMBS_480885903t_bool P) Q) R) (tptp.hAPP_int_bool (tptp.hAPP_P252494982t_bool P R) (tptp.hAPP_P1175774780nt_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P603027463t_bool (tptp.hAPP_f237669397t_bool (tptp.hAPP_f513299955t_bool tptp.cOMBB_1344650379nt_int P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_P603027463t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i68813070l_bool (tptp.hAPP_f2144054103l_bool (tptp.hAPP_f1734373249l_bool tptp.cOMBB_1652995168ol_int P) Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_int_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_n1006566506l_bool (tptp.hAPP_f1146629647l_bool (tptp.hAPP_f1080886329l_bool tptp.cOMBB_1015721476ol_nat P) Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_nat_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P603027463t_bool (tptp.hAPP_f237669397t_bool (tptp.hAPP_f461489489t_bool tptp.cOMBS_400904860l_bool P) Q) R) (tptp.hAPP_bool_bool (tptp.hAPP_P921862901l_bool P R) (tptp.hAPP_P603027463t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_real (tptp.hAPP_f292751352t_real (tptp.hAPP_f1607377819t_real tptp.cOMBB_1533963633al_nat P) Q) R) (tptp.hAPP_f1406902706l_real P (tptp.hAPP_n1699378549t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_real_bool (tptp.hAPP_f101635158l_bool (tptp.hAPP_f1925507189l_bool tptp.cOMBB_1121934354l_real P) Q) R) (tptp.hAPP_f448129468l_bool P (tptp.hAPP_r481142414t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r1938957037l_bool (tptp.hAPP_f60716669l_bool (tptp.hAPP_f1485493409l_bool tptp.cOMBB_624415285l_real P) Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_real_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_n546711566l_real (tptp.hAPP_f1904307534l_real (tptp.hAPP_f224989205l_real tptp.cOMBB_1419615765al_nat P) Q) R) (tptp.hAPP_n546711566l_real P (tptp.hAPP_nat_nat Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i688218208l_bool (tptp.hAPP_f801032407l_bool (tptp.hAPP_f499530369l_bool tptp.cOMBB_1317819104ol_int P) Q) R) (tptp.hAPP_r1134773055l_bool P (tptp.hAPP_int_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_f2119584768l_real (tptp.hAPP_f59594445l_real tptp.cOMBC_2010481033l_real P) Q) R) (tptp.hAPP_f1406902706l_real (tptp.hAPP_r1409264866l_real P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r474017924t_real (tptp.hAPP_f1407095736t_real (tptp.hAPP_f1796904975t_real tptp.cOMBB_599996122l_real P) Q) R) (tptp.hAPP_r474017924t_real P (tptp.hAPP_real_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i371647666l_real (tptp.hAPP_f1352333353l_real (tptp.hAPP_f318350629l_real tptp.cOMBB_1946221070al_int P) Q) R) (tptp.hAPP_r1250527377l_real P (tptp.hAPP_int_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_n546711566l_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f1092742621l_real tptp.cOMBB_1308947378al_nat P) Q) R) (tptp.hAPP_r1250527377l_real P (tptp.hAPP_nat_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_real_real (tptp.hAPP_f1122023986l_real (tptp.hAPP_f1786887945l_real tptp.cOMBB_1896127834l_real P) Q) R) (tptp.hAPP_f352196356l_real P (tptp.hAPP_r474017924t_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_n546711566l_real (tptp.hAPP_r195310020l_real (tptp.hAPP_f2126667875l_real tptp.cOMBC_746811033l_real P) Q) R) (tptp.hAPP_r1250527377l_real (tptp.hAPP_n682674106l_real P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_n546711566l_real (tptp.hAPP_f451358433l_real (tptp.hAPP_f335634176l_real tptp.cOMBS_337378985l_real P) Q) R) (tptp.hAPP_r1250527377l_real (tptp.hAPP_n682674106l_real P R) (tptp.hAPP_nat_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r1134773055l_bool (tptp.hAPP_f1393328161l_bool (tptp.hAPP_f1900646853l_bool tptp.cOMBB_430461877l_real P) Q) R) (tptp.hAPP_r1134773055l_bool P (tptp.hAPP_real_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_nat_real (tptp.hAPP_f73570213t_real (tptp.hAPP_f918606171t_real tptp.cOMBB_64450052al_nat P) Q) R) (tptp.hAPP_P731461727l_real P (tptp.hAPP_n332733730l_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_real_bool (tptp.hAPP_f330985925l_bool (tptp.hAPP_f940061907l_bool tptp.cOMBB_1795223523l_real P) Q) R) (tptp.hAPP_P1333854989l_bool P (tptp.hAPP_r1195171167l_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_n1983812447omplex (tptp.hAPP_f23851874omplex (tptp.hAPP_f406530075omplex tptp.cOMBB_1714920583ex_nat P) Q) R) (tptp.hAPP_r265291036omplex P (tptp.hAPP_nat_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r1250527377l_real (tptp.hAPP_f556082547l_real (tptp.hAPP_f1960414057l_real tptp.cOMBB_882763271l_real P) Q) R) (tptp.hAPP_r1250527377l_real P (tptp.hAPP_real_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r1250527377l_real (tptp.hAPP_r337325687l_real (tptp.hAPP_f1644353557l_real tptp.cOMBC_1508019322l_real P) Q) R) (tptp.hAPP_r1250527377l_real (tptp.hAPP_r337325687l_real P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r1195171167l_real (tptp.hAPP_f617735571l_real (tptp.hAPP_f800361423l_real tptp.cOMBB_2107848501l_real P) Q) R) (tptp.hAPP_r1195171167l_real P (tptp.hAPP_real_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r1195171167l_real (tptp.hAPP_f617735571l_real (tptp.hAPP_f1730463541l_real tptp.cOMBS_511527878l_real P) Q) R) (tptp.hAPP_r1195171167l_real (tptp.hAPP_r2019696015l_real P R) (tptp.hAPP_real_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_int_fun_int_int (tptp.hAPP_f1760145644nt_int (tptp.hAPP_f808647893nt_int tptp.cOMBC_736024425nt_int P) Q) R) (tptp.hAPP_f1356864277nt_int (tptp.hAPP_i744251628nt_int P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P2110489235nt_int (tptp.hAPP_f1855025978nt_int (tptp.hAPP_f1038672605nt_int tptp.cOMBB_1506897658nt_int P) Q) R) (tptp.hAPP_int_fun_int_int P (tptp.hAPP_P1175774780nt_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P507092031nt_rat (tptp.hAPP_f1547007718nt_rat (tptp.hAPP_f382317021nt_rat tptp.cOMBB_170828966nt_int P) Q) R) (tptp.hAPP_int_fun_int_rat P (tptp.hAPP_P1175774780nt_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1584592887nt_int (tptp.hAPP_f1574055885nt_int (tptp.hAPP_f2054677283nt_int tptp.cOMBB_782625832nt_int P) Q) R) (tptp.hAPP_i1584592887nt_int P (tptp.hAPP_int_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_n1865633855at_nat (tptp.hAPP_f837737749at_nat (tptp.hAPP_f999082675at_nat tptp.cOMBB_348438404at_nat P) Q) R) (tptp.hAPP_n1865633855at_nat P (tptp.hAPP_nat_nat Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f720654810t_bool (tptp.hAPP_f908327869t_bool tptp.cOMBB_1290694363ol_int P) Q) R) (tptp.hAPP_f429935748t_bool P (tptp.hAPP_int_fun_int_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f1791153283t_bool (tptp.hAPP_f735247205t_bool tptp.cOMBC_983868720t_bool P) Q) R) (tptp.hAPP_f429935748t_bool (tptp.hAPP_i872162435t_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1584592887nt_int (tptp.hAPP_f1574055885nt_int (tptp.hAPP_f434654626nt_int tptp.cOMBS_2011279539nt_int P) Q) R) (tptp.hAPP_i1584592887nt_int (tptp.hAPP_i1778081398nt_int P R) (tptp.hAPP_int_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P252494982t_bool (tptp.hAPP_f291087797t_bool (tptp.hAPP_f214467655t_bool tptp.cOMBB_182850971nt_int P) Q) R) (tptp.hAPP_i1948725293t_bool P (tptp.hAPP_P1175774780nt_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_n215258509l_bool (tptp.hAPP_f66927821l_bool (tptp.hAPP_f2037783381l_bool tptp.cOMBB_1146692694ol_nat P) Q) R) (tptp.hAPP_n215258509l_bool P (tptp.hAPP_nat_nat Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f428220345t_bool (tptp.hAPP_f654702867t_bool tptp.cOMBB_591320580ol_int P) Q) R) (tptp.hAPP_f1805168059t_bool P (tptp.hAPP_i1948725293t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1524277240nt_int (tptp.hAPP_f1735705551nt_int (tptp.hAPP_f151095827nt_int tptp.cOMBB_1389251822nt_int P) Q) R) (tptp.hAPP_P1975530577nt_int P (tptp.hAPP_i1524277240nt_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f1048215610t_bool (tptp.hAPP_f472159229t_bool tptp.cOMBC_1683390479t_bool P) Q) R) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i418383825t_bool (tptp.hAPP_f289318786t_bool (tptp.hAPP_f729588221t_bool tptp.cOMBC_678732631t_bool P) Q) R) (tptp.hAPP_f800510211t_bool (tptp.hAPP_i1796122964t_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f428220345t_bool (tptp.hAPP_f1878066172t_bool tptp.cOMBS_1720984575t_bool P) Q) R) (tptp.hAPP_f1805168059t_bool (tptp.hAPP_i1529485324t_bool P R) (tptp.hAPP_i1948725293t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1524277240nt_int (tptp.hAPP_f1735705551nt_int (tptp.hAPP_f713949180nt_int tptp.cOMBS_1891347093nt_int P) Q) R) (tptp.hAPP_P1975530577nt_int (tptp.hAPP_i1216375074nt_int P R) (tptp.hAPP_i1524277240nt_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P921862901l_bool (tptp.hAPP_f365317245l_bool (tptp.hAPP_f1961001761l_bool tptp.cOMBB_1550063917nt_int P) Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_P603027463t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1948725293t_bool (tptp.hAPP_f351634443t_bool (tptp.hAPP_f1576199059t_bool tptp.cOMBB_95956018ol_int P) Q) R) (tptp.hAPP_f429384717t_bool P (tptp.hAPP_i627165055t_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i418383825t_bool (tptp.hAPP_f1222178131t_bool (tptp.hAPP_f743790483t_bool tptp.cOMBB_1647910634ol_int P) Q) R) (tptp.hAPP_f737665877t_bool P (tptp.hAPP_i157317923t_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i627165055t_real (tptp.hAPP_f1323932638t_real (tptp.hAPP_f352226557t_real tptp.cOMBC_824100275t_real P) Q) R) (tptp.hAPP_f269654879t_real (tptp.hAPP_i1671359920t_real P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i157317923t_real (tptp.hAPP_f1613846310t_real (tptp.hAPP_f1720068861t_real tptp.cOMBC_295337211t_real P) Q) R) (tptp.hAPP_f1888375463t_real (tptp.hAPP_i447943416t_real P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r474017924t_real (tptp.hAPP_f1501741374t_real (tptp.hAPP_f1135648319t_real tptp.cOMBC_1329014627t_real P) Q) R) (tptp.hAPP_f1676298106t_real (tptp.hAPP_r50993370t_real P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r474017924t_real (tptp.hAPP_f1993765077t_real (tptp.hAPP_f895854793t_real tptp.cOMBB_1948233853l_real P) Q) R) (tptp.hAPP_f1888375463t_real P (tptp.hAPP_r474017924t_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_n682674106l_real (tptp.hAPP_f1129044203l_real (tptp.hAPP_f264196187l_real tptp.cOMBB_1480366270al_nat P) Q) R) (tptp.hAPP_b646336293l_real P (tptp.hAPP_nat_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r2019696015l_real (tptp.hAPP_f1591894897l_real (tptp.hAPP_f2114902373l_real tptp.cOMBB_237479429l_real P) Q) R) (tptp.hAPP_r2019696015l_real P (tptp.hAPP_real_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i345030060t_bool (tptp.hAPP_f725770969t_bool (tptp.hAPP_f983569339t_bool tptp.cOMBB_550562460ol_int P) Q) R) (tptp.hAPP_f1791153283t_bool P (tptp.hAPP_int_fun_int_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1584592887nt_int (tptp.hAPP_f1574055885nt_int (tptp.hAPP_f960630521nt_int tptp.cOMBC_1805044090nt_int P) Q) R) (tptp.hAPP_f883232462nt_int (tptp.hAPP_i998473677nt_int P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r1195171167l_real (tptp.hAPP_f1736103445l_real (tptp.hAPP_f1908301369l_real tptp.cOMBS_902912708l_real P) Q) R) (tptp.hAPP_P1860904029l_real (tptp.hAPP_r938550413l_real P R) (tptp.hAPP_r1195171167l_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1668131738nt_int (tptp.hAPP_f167782601nt_int (tptp.hAPP_f400538607nt_int tptp.cOMBB_866192175nt_int P) Q) R) (tptp.hAPP_i61245889nt_int P (tptp.hAPP_P1175774780nt_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1823918693l_bool (tptp.hAPP_f1344929775l_bool (tptp.hAPP_f1830214065l_bool tptp.cOMBB_793166024ol_int P) Q) R) (tptp.hAPP_f2144054103l_bool P (tptp.hAPP_i1948725293t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i614188481l_bool (tptp.hAPP_f252743847l_bool (tptp.hAPP_f643658017l_bool tptp.cOMBB_2046938128ol_int P) Q) R) (tptp.hAPP_f1146629647l_bool P (tptp.hAPP_i418383825t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r481142414t_bool (tptp.hAPP_f1625314454t_bool (tptp.hAPP_f340152631t_bool tptp.cOMBB_1453147152l_real P) Q) R) (tptp.hAPP_f2119767738t_bool P (tptp.hAPP_r632163725t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r481142414t_bool (tptp.hAPP_f1341793266t_bool (tptp.hAPP_f571820015t_bool tptp.cOMBB_1159313332l_real P) Q) R) (tptp.hAPP_f41603166t_bool P (tptp.hAPP_r373117745t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r632163725t_bool (tptp.hAPP_f1832844496t_bool (tptp.hAPP_f1990636069t_bool tptp.cOMBC_412863505t_bool P) Q) R) (tptp.hAPP_f1048215610t_bool (tptp.hAPP_r1623423338t_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r373117745t_bool (tptp.hAPP_f1115375056t_bool (tptp.hAPP_f271976045t_bool tptp.cOMBC_1801450329t_bool P) Q) R) (tptp.hAPP_f289318786t_bool (tptp.hAPP_r653725362t_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r1409264866l_real (tptp.hAPP_f1523861863l_real (tptp.hAPP_f1067681227l_real tptp.cOMBB_1934313333l_real P) Q) R) (tptp.hAPP_f1509287679l_real P (tptp.hAPP_r474017924t_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i744251628nt_int (tptp.hAPP_f836602773nt_int (tptp.hAPP_f888249301nt_int tptp.cOMBB_1875755114nt_int P) Q) R) (tptp.hAPP_f747162069nt_int P (tptp.hAPP_int_fun_int_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1778081398nt_int (tptp.hAPP_f2004554147nt_int (tptp.hAPP_f1228585167nt_int tptp.cOMBB_1102189010nt_int P) Q) R) (tptp.hAPP_f1574055885nt_int P (tptp.hAPP_int_fun_int_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r1134773055l_bool (tptp.hAPP_f1884005689l_bool (tptp.hAPP_f172451459l_bool tptp.cOMBB_421479067l_real P) Q) R) (tptp.hAPP_f330985925l_bool P (tptp.hAPP_r2019696015l_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i872162435t_bool (tptp.hAPP_f1251097615t_bool (tptp.hAPP_f1475822739t_bool tptp.cOMBB_2027861294ol_int P) Q) R) (tptp.hAPP_f1512942609t_bool P (tptp.hAPP_i1948725293t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i345030060t_bool (tptp.hAPP_f791698359t_bool (tptp.hAPP_f847817363t_bool tptp.cOMBB_562416518ol_int P) Q) R) (tptp.hAPP_f428220345t_bool P (tptp.hAPP_i345030060t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1584592887nt_int (tptp.hAPP_f465821005nt_int (tptp.hAPP_f1081447804nt_int tptp.cOMBS_1470252563nt_int P) Q) R) (tptp.hAPP_f1735705551nt_int (tptp.hAPP_i1836591008nt_int P R) (tptp.hAPP_i1584592887nt_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1216375074nt_int (tptp.hAPP_P621635040nt_int (tptp.hAPP_f1582586579nt_int tptp.cOMBC_707974837nt_int P) Q) R) (tptp.hAPP_P1145851913nt_int (tptp.hAPP_i2104874254nt_int P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1216375074nt_int (tptp.hAPP_f1375227553nt_int (tptp.hAPP_f1311564564nt_int tptp.cOMBS_1640193733nt_int P) Q) R) (tptp.hAPP_P1145851913nt_int (tptp.hAPP_i2104874254nt_int P R) (tptp.hAPP_i1524277240nt_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1529485324t_bool (tptp.hAPP_f1315737299t_bool (tptp.hAPP_f538565589t_bool tptp.cOMBB_1211207212ol_int P) Q) R) (tptp.hAPP_f627970963t_bool P (tptp.hAPP_i68813070l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r337325687l_real (tptp.hAPP_f1732848529l_real (tptp.hAPP_f1310479593l_real tptp.cOMBB_2092576745l_real P) Q) R) (tptp.hAPP_f556082547l_real P (tptp.hAPP_r1250527377l_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r2019696015l_real (tptp.hAPP_f1591894897l_real (tptp.hAPP_f644105375l_real tptp.cOMBC_467724138l_real P) Q) R) (tptp.hAPP_f617735571l_real (tptp.hAPP_r712953929l_real P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r2019696015l_real (tptp.hAPP_f320596107l_real (tptp.hAPP_f850851693l_real tptp.cOMBS_193881978l_real P) Q) R) (tptp.hAPP_f617735571l_real (tptp.hAPP_r712953929l_real P R) (tptp.hAPP_r1250527377l_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r632163725t_bool (tptp.hAPP_f956464319t_bool (tptp.hAPP_f422375781t_bool tptp.cOMBC_243356514t_bool P) Q) R) (tptp.hAPP_f351634443t_bool (tptp.hAPP_r1392521531t_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r373117745t_bool (tptp.hAPP_f1459420095t_bool (tptp.hAPP_f693283245t_bool tptp.cOMBC_1113900202t_bool P) Q) R) (tptp.hAPP_f1222178131t_bool (tptp.hAPP_r2052264067t_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r50993370t_real (tptp.hAPP_f1163894827t_real (tptp.hAPP_f1998755145t_real tptp.cOMBB_421464275l_real P) Q) R) (tptp.hAPP_f1566856189t_real P (tptp.hAPP_r474017924t_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r847664445t_bool (tptp.hAPP_f1920544743t_bool (tptp.hAPP_f866672739t_bool tptp.cOMBB_1247074793l_real P) Q) R) (tptp.hAPP_f1173902867t_bool P (tptp.hAPP_r1134773055l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r279757445t_bool (tptp.hAPP_f1840085295t_bool (tptp.hAPP_f1083049571t_bool tptp.cOMBB_2050079537l_real P) Q) R) (tptp.hAPP_f605995867t_bool P (tptp.hAPP_r1134773055l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1671359920t_real (tptp.hAPP_f74147283t_real (tptp.hAPP_f1169087445t_real tptp.cOMBB_2129825580al_int P) Q) R) (tptp.hAPP_f766218899t_real P (tptp.hAPP_i371647666l_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i447943416t_real (tptp.hAPP_f1295083291t_real (tptp.hAPP_f212164053t_real tptp.cOMBB_929094628al_int P) Q) R) (tptp.hAPP_f1690286043t_real P (tptp.hAPP_i371647666l_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1153444985nt_int (tptp.hAPP_f1148171384nt_int (tptp.hAPP_f334321603nt_int tptp.cOMBB_1484610687nt_int P) Q) R) (tptp.hAPP_P621635040nt_int P (tptp.hAPP_i1524277240nt_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1668131738nt_int (tptp.hAPP_f167782601nt_int (tptp.hAPP_f1769710159nt_int tptp.cOMBC_2037038898nt_int P) Q) R) (tptp.hAPP_f521271395nt_int (tptp.hAPP_P752050971nt_int P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i2104874254nt_int (tptp.hAPP_f251264923nt_int (tptp.hAPP_f279307923nt_int tptp.cOMBB_662120866nt_int P) Q) R) (tptp.hAPP_b40753821nt_int P (tptp.hAPP_int_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1529485324t_bool (tptp.hAPP_f1545556668t_bool (tptp.hAPP_f85237525t_bool tptp.cOMBB_389152643ol_int P) Q) R) (tptp.hAPP_f727283836t_bool P (tptp.hAPP_i1823918693l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1796122964t_bool (tptp.hAPP_f1902329768t_bool (tptp.hAPP_f1182713365t_bool tptp.cOMBB_2087181719ol_int P) Q) R) (tptp.hAPP_f561022312t_bool P (tptp.hAPP_i614188481l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P989584703t_bool (tptp.hAPP_f1187443546t_bool (tptp.hAPP_f11709033t_bool tptp.cOMBS_1676841879t_bool P) Q) R) (tptp.hAPP_f892584630t_bool (tptp.hAPP_P1400155668t_bool P R) (tptp.hAPP_P1668131738nt_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P989584703t_bool (tptp.hAPP_f1781059817t_bool (tptp.hAPP_f326728547t_bool tptp.cOMBB_2086486755nt_int P) Q) R) (tptp.hAPP_f237669397t_bool P (tptp.hAPP_P989584703t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P989584703t_bool (tptp.hAPP_f1781059817t_bool (tptp.hAPP_f125837377t_bool tptp.cOMBS_1610675060t_bool P) Q) R) (tptp.hAPP_f237669397t_bool (tptp.hAPP_P877703507t_bool P R) (tptp.hAPP_P989584703t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r1150855451l_bool (tptp.hAPP_f381769257l_bool (tptp.hAPP_f512004221l_bool tptp.cOMBB_188663909l_real P) Q) R) (tptp.hAPP_f1344929775l_bool P (tptp.hAPP_r632163725t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r285062775l_bool (tptp.hAPP_f834119977l_bool (tptp.hAPP_f848516149l_bool tptp.cOMBB_270132509l_real P) Q) R) (tptp.hAPP_f252743847l_bool P (tptp.hAPP_r373117745t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r337325687l_real (tptp.hAPP_f1644353557l_real (tptp.hAPP_f1874145443l_real tptp.cOMBB_1768400739l_real P) Q) R) (tptp.hAPP_f203520653l_real P (tptp.hAPP_r337325687l_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r579619957l_real (tptp.hAPP_f823702159l_real (tptp.hAPP_f1040184293l_real tptp.cOMBB_557258983l_real P) Q) R) (tptp.hAPP_f1591894897l_real P (tptp.hAPP_r1250527377l_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r2019696015l_real (tptp.hAPP_f2072293513l_real (tptp.hAPP_f1763467369l_real tptp.cOMBS_163651580l_real P) Q) R) (tptp.hAPP_f1736103445l_real (tptp.hAPP_r224952523l_real P R) (tptp.hAPP_r2019696015l_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r938550413l_real (tptp.hAPP_f1293550189l_real (tptp.hAPP_f183342685l_real tptp.cOMBS_794971624l_real P) Q) R) (tptp.hAPP_P1982799375l_real (tptp.hAPP_r931665397l_real P R) (tptp.hAPP_r1195171167l_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1778081398nt_int (tptp.hAPP_f2094497995nt_int (tptp.hAPP_f534361363nt_int tptp.cOMBB_1657320178nt_int P) Q) R) (tptp.hAPP_f465821005nt_int P (tptp.hAPP_i1778081398nt_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i998473677nt_int (tptp.hAPP_f142232355nt_int (tptp.hAPP_f1377453843nt_int tptp.cOMBB_320287386nt_int P) Q) R) (tptp.hAPP_f2002277285nt_int P (tptp.hAPP_i1584592887nt_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1153444985nt_int (tptp.hAPP_f55007289nt_int (tptp.hAPP_f747475781nt_int tptp.cOMBB_222539774nt_int P) Q) R) (tptp.hAPP_f1375227553nt_int P (tptp.hAPP_i1584592887nt_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P2053772734t_bool (tptp.hAPP_f1198736473t_bool (tptp.hAPP_f2042071795t_bool tptp.cOMBB_773384995nt_int P) Q) R) (tptp.hAPP_f291087797t_bool P (tptp.hAPP_P1668131738nt_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r931665397l_real (tptp.hAPP_f1607917947l_real (tptp.hAPP_f1076489843l_real tptp.cOMBB_415306361l_real P) Q) R) (tptp.hAPP_b1482221219l_real P (tptp.hAPP_real_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P752050971nt_int (tptp.hAPP_f301246617nt_int (tptp.hAPP_f1151807883nt_int tptp.cOMBB_563965291nt_int P) Q) R) (tptp.hAPP_f11151005nt_int P (tptp.hAPP_P2110489235nt_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P877703507t_bool (tptp.hAPP_f1965248563t_bool (tptp.hAPP_f1273270095t_bool tptp.cOMBB_595786433nt_int P) Q) R) (tptp.hAPP_f513299955t_bool P (tptp.hAPP_P921862901l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r1962736578t_bool (tptp.hAPP_f1063001928t_bool (tptp.hAPP_f2050994651t_bool tptp.cOMBB_2138578194l_real P) Q) R) (tptp.hAPP_f1545556668t_bool P (tptp.hAPP_r1150855451l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r1562208522t_bool (tptp.hAPP_f2084827628t_bool (tptp.hAPP_f1121609875t_bool tptp.cOMBB_2125215742l_real P) Q) R) (tptp.hAPP_f1902329768t_bool P (tptp.hAPP_r285062775l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r712953929l_real (tptp.hAPP_f1119546819l_real (tptp.hAPP_f555557763l_real tptp.cOMBB_422423973l_real P) Q) R) (tptp.hAPP_f800361423l_real P (tptp.hAPP_r2019696015l_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r1230691443l_real (tptp.hAPP_f324002831l_real (tptp.hAPP_f677014621l_real tptp.cOMBS_107495110l_real P) Q) R) (tptp.hAPP_f1293550189l_real (tptp.hAPP_r1043989325l_real P R) (tptp.hAPP_r2019696015l_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1836591008nt_int (tptp.hAPP_f400200275nt_int (tptp.hAPP_f1731308757nt_int tptp.cOMBB_735549356nt_int P) Q) R) (tptp.hAPP_f151095827nt_int P (tptp.hAPP_i1216375074nt_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r1623423338t_bool (tptp.hAPP_f704188951t_bool (tptp.hAPP_f1456711209t_bool tptp.cOMBB_690122963l_real P) Q) R) (tptp.hAPP_f472159229t_bool P (tptp.hAPP_r1962736578t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r653725362t_bool (tptp.hAPP_f1927674023t_bool (tptp.hAPP_f1261108921t_bool tptp.cOMBB_172850899l_real P) Q) R) (tptp.hAPP_f729588221t_bool P (tptp.hAPP_r1562208522t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r1392521531t_bool (tptp.hAPP_f332806115t_bool (tptp.hAPP_f1177545951t_bool tptp.cOMBB_1459832681l_real P) Q) R) (tptp.hAPP_f1576199059t_bool P (tptp.hAPP_r847664445t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r2052264067t_bool (tptp.hAPP_f77155443t_bool (tptp.hAPP_f403082607t_bool tptp.cOMBB_984071017l_real P) Q) R) (tptp.hAPP_f743790483t_bool P (tptp.hAPP_r279757445t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r794344869l_real (tptp.hAPP_f517738447l_real (tptp.hAPP_f1879982819l_real tptp.cOMBB_731595089l_real P) Q) R) (tptp.hAPP_f1607917947l_real P (tptp.hAPP_r1134773055l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r712953929l_real (tptp.hAPP_f1108539711l_real (tptp.hAPP_f1109256153l_real tptp.cOMBB_44084907l_real P) Q) R) (tptp.hAPP_f1730463541l_real P (tptp.hAPP_r579619957l_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_i1836591008nt_int (tptp.hAPP_f617310012nt_int (tptp.hAPP_f197974549nt_int tptp.cOMBB_638531587nt_int P) Q) R) (tptp.hAPP_f713949180nt_int P (tptp.hAPP_i1153444985nt_int Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1400155668t_bool (tptp.hAPP_f223623489t_bool (tptp.hAPP_f1815301987t_bool tptp.cOMBB_650041899nt_int P) Q) R) (tptp.hAPP_f1325804733t_bool P (tptp.hAPP_P2053772734t_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r224952523l_real (tptp.hAPP_f1663701695l_real (tptp.hAPP_f774948957l_real tptp.cOMBB_3698607l_real P) Q) R) (tptp.hAPP_f1908301369l_real P (tptp.hAPP_r1230691443l_real Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_r1043989325l_real (tptp.hAPP_f1161935955l_real (tptp.hAPP_f328572565l_real tptp.cOMBB_520243667l_real P) Q) R) (tptp.hAPP_f183342685l_real P (tptp.hAPP_r794344869l_real Q R)))) _let_8 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 18.04/18.39  )
% 18.04/18.39  % SZS output end Proof for NUM925+4
% 18.04/18.39  % cvc5---1.0.5 exiting
% 18.04/18.39  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------